God Reborn - The Birth of God as a Superbrane
A Story of Intelligent Design and the Creation of the Quantum Universe
Dirac’s Magnetic Monopole and the Energy Density of the
Universe from Dark Matter with Dark Energy
A Cosmology of Initial Boundary Conditions
The question of creation as quantum fluctuation ex nihilo is answered as a creation ex UniPhysCon as the
quantum entanglement of omnispace in the form of universal physicalized consciousness.
1
Dedication:
Revelation 14:13 -King James Version (KJV)
13 And
I heard a voice from heaven saying unto me, Write, Blessed are the dead which
die in the Lord from henceforth: Yea, saith the Spirit, that they may rest from their
labours; and their works do follow them.
2
3
Foreword:
A claim to have some answers to pertinent and profound questions in regards to the perennial quest of the
human race to understand itself in being and in mind can be no statement of whimsicality.
Such a proposition demands a thorough investigation of the issues at hand; not a one-sided or biased
examination of selected data and information; but a rigorous scientific approach to evaluate all the evidence
supplied in the history of the developments, both in the popular culture and its science and the philosophies
supporting it.
It is of limited value to parade the scientific discipline as the rational and impartial paradigm for the future; if
that same worldview proves itself incapable to elucidate or to explain the most basic of elementary
questions asked or problems faced by the now globalized citizen, placing hisher hope and expectation into
that same projected future. And the overwhelming problem facing humanity at the beginning of the 21st
century is that of its own philosophy.
‘Where are we now as a race?’, ‘Where are we going ?’ and ‘Where did we come from?’ are some common
questions asked, but not answered by the expert authorities in organized politics, science, culture, and
religion. Why do we seem incapable, despite having built a monumental edifice called the scientific way and
methodology; and notwithstanding the progressing technology derived from that; why then can that same
worldview not answer a simple question like:
“If there is such a thing as God, as so many of us have been told, then where and what is it?”
We find an evolved human genetic disposition to form allegiances and to carry and ascribe to certain beliefs,
often founded or exposited upon by certain individuals or groups. Kings and knights, magicians, clerics, and
sages of old have transformed into the experts and advisors of the new.
Consultancy has become the catchphrase, often stifling the natural curiosity to find answers for one’s own
questions in a denial of one’s own creative impulses through an adventure of self-discovery. Today, we find
allegiances to political ideologies, religious dogmas, or some other culturally based agenda. All those liaisons
and associations have something in common; however, they all become coloured in the individuals which
belong to them. Redemption from this filtered state of affairs is found in a paradigm which is based on the
precept of disallowing personality to individualize the work to be done or to colour the information to be
collected as one’s personal archive or one’s private library of creation, subject to one’s own individual
fancies and desires.
Albert Einstein once remarked:
“The greatest trouble in the world is the idea of a personal God!”
And so, one might agree with the de-personification of Albert Einstein’s ‘God,’ whom he rather
affectionately called: "The Old One” and of whom he also said: “God does not play dice with the world,”
referring to his rejection of the idea that life and nature’s processes are intrinsically arbitrary in a universe
defined by chance and random events.
He thought of ‘God’ as being the intelligence behind the natural laws of nature, as found in the sciences and
the mathematics which he studied and he believed that nature had to be based in geometrical principles,
rather than in probabilities defined in statistics and stochastic matrices.
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And there were others before and after him; Plato and Aristotle, upon whose dialogues this treatise is based;
Pythagoras, the Greek geometers and Niels Bohr, Max Planck and Werner Heisenberg, all contemporaries of
Albert Einstein with Paul Dirac, Max Born and Wolfgang Pauli in their contributions to the birth of quantum
mechanics.
The symmetries in nature, numbers and sequences and fundamental constants; all seem finetuned and set
into relationships with one another to create the universe and all the cosmological entities within it.
And one should not forget another genius of contemporary science in Isaac Newton. But what the modern
world has tried to forget and to sequester away under an umbrella of a perceived historical ignorance, was
the immense interest Isaac Newton, the father of all of classical mechanics, had in the concepts of religion.
And what is the modern moral evaluation by his peers, judging a man whom they portray to the students of
science as having had no equal in his time in regards to his scientific work, inventions and mathematical
insights?
His power of pure intellect, like Einstein’s, is often used to exemplify the necessity for logical thought and
concentration in the pursuit of scientific and mathematical excellence by the students in those fields. Is it
embarrassing to tell the full story; that Isaac Newton spent months at a time trying to decipher scrolls, like
the ‘Book of Daniel’ and the ‘Book of Revelation’ in the bible?
“He must have been deluded in the religious fervor of his age!” they would have said.
But was he?
Could a mathematical prodigy like Isaac Newton have been so gullible? Isn’t it more likely, that he sensed
that there was something to it – and that it had to be scientific?! Isaac Newton’s ‘God’ is the same as Albert
Einstein’s ‘God’ and yet it is completely impersonal. It must be, by the definition of the working ethic!
But is it?
Could it be possible, that once the ‘God of Science’ has become impersonal, that then this same ‘God’ is
reborn in a ‘God of Omniscience,’ who allows, even demands a personification, because of its own
definition?
And what if that had been the masterplan throughout the ages anyway? Can we then ever know and
understand such a masterplan?
And what if all the clerical authorities around the globe are forced by their own followers to take notice?
What if modern science can prove to them that their ‘Allah’ and ‘Jehovah’ and Yahwhey and ‘Brahma’ and
‘Baha’ and ‘Krishna’ and ‘Ra’ and ‘Osiris’ and ‘Set’ and ‘The Big Goat behind the Old Oaken Tree in the
Walpurgisnacht on April 30th’ are all one and the same as the ‘Order out of Chaos!’ defined in a Universal
Logos or Universal Intelligence manifesting the Primordial Universal Consciousness as a Source Energy and a
circumstance and phenomenology which could be called the ‘Word of God’ as its physical manifestation ?
What if their scriptures and ancient scrolls became illumined in a new light of omniscience; should their
powerbase not become depersonalized if they are shown to have followed a very limited interpretation of
their ‘sacred texts’ indeed?
Where would they go in their grandstanding of and about ‘God’s Law’ for the ‘chosen people’ and for the
‘infidels’? It would be the end of falsified religious dogma and the death of manipulative religion as such.
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Because omniscience is Omni-Science, the Science of ‘The All’ for ‘The All’ and the German word for the
cosmos or the universe is “Das ALL” - Albert Einstein and Max Planck and Werner Heisenberg and Wolfgang
Pauli and Max Born would have liked that in their contemplations upon the natural order of things.
Albert Einstein also said: “Science without Religion is lame and Religion without Science is blind”- and this
book shall try to synergize the two worldviews in a redefinition of Heisenberg’s Uncertainty Principle and its
statistical nature within a geometrical interpretation of quantum mechanics.
And then would peace between the nations have a chance, because of the demise of the old religions and
the already internationally accepted profundity of the scientific way and methodology. Like music, dance or
mathematics, a new language would sweep the old world of hate and dispossession, the ways of
disempowerment and disbelief under the carpet of the illumination of a new base of knowledge.
A new song would be sung and the nations and tribes and families at war with each other could embrace
one another in a new way of looking at the world around themselves and their individuated places within it.
And all the many things they had learned from their history through the ages of humankind; all their
legends, myths and fables, their religions, and sciences; all would become integrated within themselves in a
renewed understanding and the death of their ignorance regarding themselves.
But to succeed, the initiation of this omniscience is first required to affect its own birthing process.
The mathematical principles of necessity and sufficiency must be satisfied, and the scientific global
community must become informed about the new dispensation. The premises of the new model also
necessitate their scientific validation through experiment and verification in the collective scientific data
base.
This then is the disclaimer for this play of words.
To scientifically empower the new dispensation; a scientifically rigorous approach in its elementary
application cannot be avoided. Science cannot ‘prove’ something, without clearly identifying its parameters
and boundary conditions.
There is an abundance of literature, which explains the present status quo in the specialized fields of particle
physics, quantum theory, unification physics and cosmology in a populist genre of communication.
Many discoveries add to that edifice on a daily basis.
This treatise then does not retell the stories, which have already been told in many other ways and media. A
list of references points to supportive accounts of some popular ones amongst them. This essay attempts to
explain the fundamentals, the principles, and preconditions for what brought about the universe’s
occurrence and the parameters which led to its definition in the natural laws.
And it is happenstance, that those precepts and prerequisites existing before space and time came into
being, have a relevance for the birth of the religions of history or what one could term the ‘spiritual impulse’.
The bearing upon the personality is found to be a subset of a collective psyche; what one might perceive as
the groupmind of a race or species; a somewhat very unique genus, which despite the relativity of the
observer and the heliocentric reality – finds itself at the center of the universe, as itself – the race of
mankind!
The ultimate aim of science to unify all aspects of existence so becomes a quest to enhance all energy and
matter towards their most basic and elementary form of manifestation.
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Once such a fundamental oneness is found and classified by science; then the scientific worldview will
become enabled to cross-fertilize all its inter disciplinary factions and the global culture will be ready to
purge itself from all unscientific and irrationally derived paradigms and belief systems.
That will be the death of superstition and of pseudoscience; the unscientific way of thinking and its many
flawed perceptions in regard to observed natural phenomena.
4Q392: “[...] and dominions [...][...] a man [...] God and not to turn aside from [...] and in His covenant your soul shall cling and [...] words of His
mouth [...] and God [...] heaven above and to search out the ways of the sons of man, they have no hiding place. He created darkness and light for
Himself, but in His dwelling place is the light of their light and all darkness rests before Him as well. He has no need to distinguish between light and
darkness, but for the sons of man He distinguishes them as the light of day, with the sun, and night, with the moon and stars. He has a light which
cannot be searched out, nor can its end be known. For all the works of God are doubled in this manner. We are flesh, which does not totally grasp
these things. With us for [...] for a sign and wonders without number. [...] winds and lightning [...] servants of the holy of holies. They are as couches
before him [...].”………………translated by Martin G. Abegg, Jr.
The Complete Dead Sea Scrolls; Geza Vermes; Penguin, London, 1997
Isaiah 45:6-8 -King James Version
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That they may know from the rising of the sun, and from the west, that there is none beside me. I am the LORD, and there is none else.
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I form the light, and create darkness: I make peace, and create evil: I the LORD do all these things.
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Drop down, ye heavens, from above, and let the skies pour down righteousness: let the earth open, and let them bring forth salvation, and let
righteousness spring up together; I the LORD have created it.
7
https://www.bitchute.com/video/mMVoAb4t9xtg/
Dirac’s Magnetic Monopole And The Energy Density Of The Universe From Dark Matter With Dark Energy |
Cosmogenesis - Library of Akbar Ra in Alexandria Thuban (cosmosdawn.net)
Dirac’s Magnetic Monopole and the Energy Density of the
Universe from Dark Matter with Dark Energy
A Cosmology of Initial Boundary Conditions
Abstract:
The Dirac quantization condition and its relationship to the electromagnetic fine structure constant alpha is
derived from the initial boundary conditions of the Quantum Big Bang Singularity (QBBS). The QBBS is shown
to form a 2/11-dimensional mirror membrane as a 1-dimensional Dirac string relating timespace of a stringmembrane epoch preceding the QBBS to the spacetime following the creation event. The Dirac monopole
then transforms as a point particle into a space extended elementary particle known as the classical electron
and is electro charge coupled as an electropole to the magneto charge of a magnetopole. The electron as a
point particle of QFT and QED so becomes the monopolar form of the Dirac monopole as the Dirac electron
but coupled to the elementary quantum geometric templates of the scalar Higgs boson with a dark matter
particle defined as a RMP or Restmass-Photon.
This RMP is shown to couple in string-membrane duality to both a minimum sourcesink and a maximum
sinksource expression in the energy distribution of the multi-dimensional universe. The ratio of the RMP’s
vibratory wormhole micro eigenstate of high energy to its winding mode anti-wormhole macro self-state
then crystallizes the Planck-Density to Critical Density ratio in convolution with the dark energy and ZeroPoint-Energy of the multi-dimensional cosmology.
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For {RRMP(ss)/RRMP(ps)}3=(fss/fps)2=(fss)4=(4π2rps/rssc2 )2 = {1/81x10120} ~ Critical Density/Planck Density
ρPlanck/ρcritical={2πc5/hGo2}/{3Ho2/8Go}={162c5/3hGoHo2}={1.855079x1096}/{3.78782x10-27} ~ 81x10120
= 4.897x10122 in a de Sitter cyclically closed EMR 10D-cosmology for which =B+MDM/RMP+DE=1
ρPlanck/ρcritical={2πc5/hGo2}/{Ho2/4Go}={83c5/hGoHo2}= {1.855079x1096}/{1.78497x10-26} ~ 81x10120
= 1.039x10122 in an Anti-de Sitter open-closed EMMR 11D-cosmology for which =B+MDM/RMP+DE=1
This is the universal sourcesink/sinksource volumar for the supermembrane Eps.Ess coupled in brane
modular duality and solves the ‘cosmological constant’ problem in a revision of the Friedmann cosmology.
In particular it is shown that the onset of the so termed dark energy at a redshift of z=0.6124 simply relabels
the dark matter made manifest from the QBBS given in higher redshifts in the form of the Einstein Lambda
as an Einstein quintessence. By introducing a time evolving quintessence for the harmonic oscillator modal
energy eigenstates |Eps|={½+N}hfps for supermembrane Eps.Ess in the Zero-Point-Energy, the quantum
description for spacetime crystallizes as a parameter space between maximized and minimized oscillation
modes for the heterotic string class HE(8x8) as 10-dimensional expressions for the 11-dimensional
membrane spacetime as the cosmological boundary mirroring an open ended Minkowski cyclically flat
expanding cosmology in a closed de Sitter cosmology. The lower dimensional universe so becomes cyclically
bounded within an infinitely expanding unbounded higher dimensional cosmology with the cyclicity of the
gravitationally retarded de Sitter universe quantum tunneling in the cosmology of the multiverse. The
evolving spacetimed cosmology as a thermodynamic black body radiator is shown to derive from a transition
period from the timespace of a 5-generational 10-dimensional string epoch into a 11-dimensional multiverse
self-intersecting its lower dimensional precursor in a cosmological Lightpath both refracted and cyclically
reflected in the instanton-inflaton parameters of the QBBS. The timespace to spacetime transition is shown
to manifest in a false Higgs-Planck boson vacuum or HBPFV as a consequence of the natural physical laws
defining the concept of temperature as a form of kinetic-potential energy related to the frequency
eigenstates of the QBBS parameter space. The breaking of the supersymmetry in energy so becomes a
consequence from the quantum energy parameters of the E=kBT=hf=mc2 transitioning from timespace into
spacetime in the central manifestation of the energy in the HBPFV as the instanton-inflaton of the QBBS.
A temperature gradient in the HBPFV so defines a deviation between the Einstein quintessence and the
quantum self-states of the Goldstone bosons of the fundamental energy interactions. The background
temperature of the Quantum Big Bang Singularity as the quintessence temperature T(E) is far in excess
from the Weyl boson defining the quantum form Eps=kBTps. The inflaton therefore triggers the spacetime
hyperspace expansion to attain temperature equilibrium between the multiplying and tachyonic hyper
accelerating spacetime quanta given by the Weyl parameters with the Einstein quintessence in the inflaton.
This homeostasis is reached in the bosonic temperature unification so 2 nanoseconds from the time
instantaneity of the QBBS. At the end of the inflation epoch the imaged QBBS manifests a midpoint for the
gravitationally retarded thermodynamic expansion of the lower dimensional cosmology as a Lightpath of a
higher dimensional ‘Electromagnetic Return’ to meet the decelerating universe for the onset of dark energy
at redshift z=0.6124.
The Einstein quintessence therefore assumes particular cosmological characteristics manifesting both
properties of a gravitationally decelerating cosmology in 10D and a Lightspeed invariant cosmology in 11D
reflecting and refracting the 11D Lightpath emitted from the QBBS for the crucial time of having reached the
spacetime boundary made manifest by the inflaton at the QBBS of the instanton.
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A synthesis of the MOND cosmology of Milgröm with the LCMD standard model is shown to resolve itself not
in modifying Newtonian gravitation, but in the Milgröm characteristic acceleration inherent as the
cosmological constant of the Einstein quintessence as a QBBS parameter. The necessity for Dark Matter to
harmonize the hypermass evolution remains however, with the Dark Energy itself assuming the form of the
Milgröm deceleration. That the Dark Energy DE is negative pressure interacting with a sign changing Einstein
quintessence is also pointed out as a cosmological effect by Erik Verlinde in his ‘Emergent Gravity’ model in
associating the Milgröm deceleration with the Hubble Constant and therefore the Friedmann standard
cosmology by GM/R2 < cH = -2cHo/(n+1)3
The space occupying classical electron as a Dirac string derivative is shown to oscillate on the Fermi scale of
the nuclear interactions of colour charge asymptotic gluon-quark confinement, with the ground state for the
electron defining the wormhole singularity of the QBBS in spacetime as the fifth transformation of
superstring classes (heterotic class 64) from the timespace era. The Dirac string so manifests as a membranemirror for a 4-dimensional spacetime embedded within a 5-dimensional spacetime and descriptive for a 3dimensional surface embedded as volumar within a higher dimensional cosmology, described in the
properties of a Möbian-Klein Bottle geometric connectivity for a one-sided manifold becoming two-sided in
the original form of the Dirac string as a one-dimensional mathematical singularity mirroring itself in the
monopolar string self-duality of a multidimensional holographic cosmology .
The natural stability of the proton and the absence of an original supersymmetry between matter and
antimatter is shown to be the result of the non-existence of antimatter in the primordial universe and the
coupling of the Higgs boson to the RMP of spin -1 and energy 14.03 TeV*. Primordial neutron decay
becomes the transformation of a RMP boson in the form of an ylemic dineutron into two lefthanded
neutrons quantum spin coupled to a graviphoton as the scalar Higgs bosonic blueprint of the wave-quarkian
quantum geometry. Particular initial boundary conditions for the QBBS, defined as the Dirac magnetic
monopole indicate the energy regime for the Higgs Boson as being bounded in a subatomic displacement
scale from 0.000014-0.0028 fermi. This displacement scale forms a natural boundary for the mesonic scale
for the strong nuclear interaction and resolves the discrepancy in the mean lifetime for beta minus decay in
showing that the excess of neutrons at the Higgs energy with RMP-dark matter excess is
126.95/125.78=1.0093 and becomes balanced by a deficit of neutrons at the Higgs energy with RMP -dark
matter deficit in 122.49/123.57=0.9913 and time differences of 10.28 and 9.92 seconds* for a mean neutron
lifetime of 880.14 s* respectively.
The thermodynamic evolution of the universe is shown to relate a general evolution of neutron stars with
specific nuclear densities with respect to the cosmic radiation background to the Hawking properties of black
holes as a background energy matrix originating from the distribution of a baryonic mass seedling and its
coupling to the QBBS parameters. The Hawking-Gamow Temperature Unification for classical and quantum
gravitation is so derived as the temperature ratio:
THawking/Tylem = hcRe3/2Gomc2Rylem2 RHawking = Re3/nucleon.Rylem2RHawking with nucleon = plancke18 .
Hawking’s micro black holes are shown to play a decisive role in the universal cosmology, as they modulate
the quantum gravitational universe of the creation event with the classical gravitation of the spacetime
geometry. In particular the micro black holes form the energy centers within encompassing vortices of
potential energy modelled on the Jeans length applied to the general temperature evolution of the universe
and inclusive of dark matter haloes around galaxies deriving from the original intersection of the higher
dimensional inflaton superluminal light path with the lower dimensional light path of the instanton.
Hawking’s Information Paradox is resolved in the DE onset as the Page Time.
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The HBPFV so manifests electroweak unification at the intersection coordinate between the expanding
ylemic Dark Energy/Dark Matter-RMP Halo and expanding CBBR gravitationally retarded cosmology and
described in the Hawking-Gamow modulus HGM = MHawkingTylem = hc3/4kBGo = McurvTHawking
The difficulties in measuring Newton’s gravitational constant are found to be causally related to the
measured variation in the electromagnetic finestructure constant alpha e as the polar orientation of the
Dirac string of the QBBS and as a distribution of t’ Hooft-Polyakov monopoles in the Schwarzschild metric at
the GUT unification energy scale from 2.7x1016 GeV* to 8.1x1017 GeV*.
The supersymmetry and coupling parameters of the superstring classes is shown to derive from the
interaction of the Planck-Stoney finestructures.
The classical electron parameters are shown to relate to the electron of Quantum-Field-Theory QFT in a
reassigning of the electromagnetic mass in a distribution of electron velocities in the wave matter of de
Broglie and the Compton constant meRe = Compton constant = αh/2πc = lplanck.α.mplanck = mecrec , which
proportionalises the quantum relativistic size of the electron with its mass. The classical electron is reborn
within the structure of QFT in attaining a monopolar nature, derived from the Dirac string as a Dirac
electropole.
The concept of ‘Universal Physicalized Consciousness’ or UPC is defined from the conformal mapping of the
magneto charge from timespace onto the electro charge in spacetime utilizing the dimensional reduction
from 11D membrane spacetime into 10D string spacetime in the modular- and mirror duality of the {10-1112} D spacetime matrix. UPC becomes identical in dimensional analysis to the gravitational parameter GM in
its frequency quantum eigenstate and so defines a quantum radius-independent angular acceleration acting
on any volumar constituent within any spacetime occupancy. In this capacity, the UPC defines the Einstein
quintessence and so resolves the Dark Matter – Dark Energy distribution in the nature of the quintessence as
a spacetime inherent classical acceleration, yet as a function of a nodal Hubble parameter, described as a
frequency equivalent and coupling to the Weyl-wormhole frequency of the QBBS in fps.ps = fWeyl.Weyl = c =
Ho.RHubble.
I: Introduction to a Multidimensional Relaxation Cosmology for a ‘Hubble Tension’ in Quantum Relativity
with Hawking’s Information Paradox Resolution………………………………………………………………………..……..(12-44)
II: Foreword – Dirac’s String-Monopole Transformation……………………………………………………………..….…(45-46)
III: The Creation of Dirac’s Quantum Big Bang in Spacetime from Timespace………………………….…..….…(47-66)
IV: The Dark Energy coupled to the Light Energy of a Shadow-Mirror Universe……………….…….……….…(67-81)
V: The Higgs-Planck False Vacuum and the Temperature Gradient for the QBBS Cosmology…………..…(82-97)
VI: The Ylemic Universe and Quantum Gravitation from Superbrane Parameters…………………..…....….(98-123)
VII: A Synthesis of ΛCDM with MOND in a Universal Lambda Milgröm Deceleration……………………….(124-136)
VIII: A Revision of the Friedmann Cosmology and Emergent Gravity in a Hypermass Multiverse……..(137-178)
IX: Ylemic Gluon-Quark-Plasma Protostars as Vortex QBBS Energies…………………………………..…….…....(179-198)
X: Primordial Neutron Decay from Higgs Boson – RMP/DM Quantum Geometry……………………….......(199-202)
XI: Initial Boundary Conditions for Matter-Antimatter Asymmetry…………………………………………...…....(203-222)
XII: The Gravitational Constant, the Alpha Finestructure Constant and the GUT-Monopole…………….(223-234)
XIII: The Inflaton and the Grand Unification Symmetry in a Transformation of Supermembranes……(235-265)
XIV: The Quantum Relativistic Monopolar Electron………………………………………………………………..……….(266-314)
XV: The Birth of the Universe in Space and Time from Physicalized Universal Consciousness……..…..(315-343)
XVI: Quantum Consciousness in the Penrose-Hameroff Model…………………………………………………..……(344-353)
XVII: Epilogue: God Reborn - The Birth of God as a Superbrane - A Story of Intelligent Design and the Creation
of the Quantum Universe in the Uniphyscon of Quantum Entangled Omnispace……………..…….…….…(354-366)
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I: Introduction to a Multidimensional Relaxation Cosmology for a ‘Hubble Tension’
in Quantum Relativity with Hawking’s Information Paradox Resolution
The cosmological measurements for an accelerating expansion of the universe and as a consequence of
Hubble’s law for the Hubble parameter H(n,t) = Recessional Velocity v(n,t)/Cosmological Displacement R(n,t)
are the result of a multidimensional cosmology.
There is not one Hubble parameter, but there are three Hubble parameters, defining various interwoven
aspects of the multidimensional cosmology in a compacted event horizon in the lower form and bounded by
a nodal form and a true event horizon with an unbounded particle event horizon, both in the higher form.
The lower dimensional expansion of a closed de Sitter dS universe is bounded by a nodal Hubble parameter
Ho=c/RH in a spacetime under gravitational retardation to define a constant Hubble event curvature horizon
RH=2GoMH/c2. This nodal Hubble event horizon forms the higher dimensional boundary for a compacted
event horizon moving towards it in the expansion of the universe. This compacted Hubble bound is different
from a not compressed Hubble bound in not accounting for a dark matter sector in the multidimensional and
therefore interwoven spacetime cosmology.
The multidimensional cosmology is modeled on the premises and stipulates of Quantum Relativity and a
model combining the spacetime geometry of classical physics and cosmology with a model of quantum
geometry, based on the concepts of string-membrane modular duality. The macro-state of classical
gravitation as the curvature of spacetime is therefore related to quantum gravitation in a blending of the
cosmological and astrophysical universe with the micro-states of quantum mechanics.
This introduction predicts two distinct, yet related values for the Hubble parameter and shows how those
values are related.
For the dark matter inclusive cosmology, the Hubble parameter is defined in a true Hubble node, which
oscillates in the lower dimension, but linearly decreases with the expansion of the universe in the higher
dimension.
Experimental measurements for this Hubble parameter therefore will conflict between the oscillating and
the linear form. Astronomical observations into ‘deep space’ or ‘back in time’ for an increasing cosmological
redshift and the Cosmic-Microwave-Radiation-Background CMRB so will determine the linear Hubble
parameter and as applicable in the addition of the dark matter region of spacetime.
Quantum relativity predicts this dark matter inclusive value for Ho(n=Hot) = 58.04 km/Mpc.s to be:
H(n,t)|AdS = H(npAdS) = Ho/(2-npresent) = Ho/0.867288 = 2.165057x10-18 [1/s]* or 66.92 km/Mpc.s
For the dark matter exclusive cosmology, the Hubble parameter is found in relating the compressed
spacetime expansion to the oscillating form of the ratio of the recessional velocity to the compressed Hubble
event horizon as the expanding wavefront modelled as the boundary of the universe. Astronomical
measurements in the compressed spacetime so can be interpreted as observing cosmological distance scales
as being closer to the observer than they actually are in the dark matter inclusive universe described as an
Anti de Sitter AdS and open universe.
Quantum relativity predicts this dark matter exclusive value for Ho(n=Hot) = 58.04 km/Mpc.s to be:
H(n,t)|dS = H(npdS) = Ho[np+1]2/np(2np+1) = 1.22972Ho = 2.309075x10-18 [1/s]* or 71.37 km/Mpc.s
12
Differentiating the Hubble parameters in the addition of the dark matter sector relative to the baryon
normal matter compressed spacetime so resolves the ‘Hubble tension ‘ as the statistically significant
discrepancy between the measurements of the Hubble parameter in the CMRB measurements and distance
scale related observations for the compressed spacetime of an interwoven interdimensional cosmology.
Measuring the Hubble parameter within the compressed dS spacetime so will result in values greater than
the value at the lower dimensional Hubble boundary. Those measurements will converge as a mean value
relative to the compressed boundary value at a n-cycle coordinate of n=½ for the onset of the dark energy
epoch in the multidimensional cosmology.
Values for the ‘Hubble tension’ for cosmological distance scales such as cepheid variable stars so will
converge to such a value range for the more proximate universe.
Quantum relativity predicts this dark matter exclusive value for Ho(n=Hot) = 58.04 km/Mpc.s to be:
H(n,t)|dSDE = H(n=½) = Ho/[½][1+½] = 4Ho/3 = 1.33333Ho = 2.5036374x10-18 [1/s]* or 77.39 km/Mpc.s for a
mean value of (71.37+77.39)/2 = 74.39 km/Mpc.s
The nodal Hubble boundary emerged from an instanton-inflaton Quantum-Big Bang-Singularity QBBS and
from a parameter space of initial and boundary conditions established from a Planckian pre-spacetime
string-membrane epoch modelled on an algorithmic timespace transforming into a spacetime in the
emergence of dimensional degrees of freedom to manifest the physical parameters in energy from a prephysical or metaphysical quantized energy continuum labelled as universal consciousness from algorithmic
timespace.
This de Sitter dS universe of positive curvature is modelled as a thermodynamic Planck Black Body Radiator
expansion of a flat Minkowski spacetime experiencing the gravitational interaction in both the classical laws
of General Relativity and the effects of quantum gravity from a higher dimensional parallel cosmology
described as a Anti de Sitter AdS universe of negative curvature without gravitational retardation.
The interdimensional interaction between the closed dS and the open AdS universes results in a flat overall
spacetime relative to a spacetime observer situated at an arbitrary central observation point, say the center
of a geometric horn torus, encompassed by a sphere.
The AdS cosmology of lightspeed invariance at the QBBS then naturally expands the higher dimensional
universe, say as a 5D Kaluza-Klein or an 8D Penrose or a 11D Witten spacetime at a greater rate than the
gravitational Einstein-Planck-Minkowski in 4D EPM spacetime.
At some point in the universe’s expansion the AdS Lightpath superposed onto the dS gravitationally retarded
Lightpath will reach the nodal Hubble boundary and then both reflect and refract to expand the original size
of the spacetime set by the initial boundary conditions of the instanton-inflaton defined QBBS. The higher
dimensional Lightpath is denoted as EMMR for Electromagnetic Monopolar Radiation and the lower
dimensional concurrent Lightpath is denoted as EMR for Electromagnetic Radiation.
The refracted Lightpath of the AdS universe then resets the nodal Hubble event horizon in a new boundary
independent from the original instanton-inflaton parameters of the QBBS to define a true Hubble event
horizon as a new boundary for the compacted Hubble event horizon to approach.
13
The reflected Lightpath from the old Hubble nodal event horizon Ho manifests a cyclic cosmology for the
lower dimensional dS universe, however. The QBBS is mirrored at the even Hubble node H o in the reflected
Lightpath in an odd and even frequency count for the Hubble parameter with a clearly defined maximum at
the QBBS as an even n-cycle count and a clearly defined minimum as Ho as an odd n-cycle count.
All cosmologies can so be defined in a n-cycle time parameter and where n=Hot with dn/dt=Ho as a true
Hubble constant.
The compacted Hubble event horizon so becomes defined in the dS gravitationally retarded cosmology as
the size of the lower dimensional curvature radius subject to an oscillating higher dimensional AdS Lightpath
superimposed onto the expansion of the thermodynamic universe.
The true Hubble event horizon can be expressed in the refracted Lightpath as REMMR(n,t) =nRH and the
compacted Hubble event horizon becomes the curvature radius of the EPM protoversal universe as
REMR(n,t)= R(n,t) = RHn/[n+1] and bounded in Ho=c/RH as a ‘Mother Black Hole MBH’ as a ‘Strominger eternal
MBH brane’ and in the Schwarzschild metric RH=2GoMoH/c2 with Go the gravitational constant as applicable
to the Strominger BH evolution as ‘eternal black holes’.
|←--------------------------↔------------------------------|even node fps=c/s----↔----odd node c/RH=Ho→|
Imaged and mirrored EMMR Lightpath AdS
EMMR Lightpath AdS
|←-----Shadow Dark Universe Khaibit ½ cycle-----|-----------------Light Universe ½ Cycle----------------→|
|←------------------------------------------------------------|---------------------------------------------------------------→|
qo=0
qo=½=Mo/2MH=Rsarkar/2RH=einstein/Adebroglie
qo=1
|←-----------------------------|-----------------------------|----------------------------|----------------------------------→|
n=-1
n=-½
n=0
n=+½
n=+1
qo is a deceleration parameter defining the QBBS boundary initial parameters in the Einstein
quintessence einstein and the de Broglie hyperspace inflaton hyper acceleration Adebroglie for the EMMR
Lightpath as the ratio of the matter distribution o=Mo/MH for the overall energy density in the
multidimensional cosmology. Mo is the mass seedling for the de Sitter protoverse defining a ‘Sarkar Daughter
Black Hole’ in the Sarkar curvature radius Rsarkar = 2GoMo/c2 for the encompassing mass Strominger BH
evolution engaging the Dark Matter and Dark Energy conditions.
Another deceleration parameter is defined in q(n) = -{(d2a/dt2)(a}/(da/dt)2 for scale factor a = R(n,t)/RH
The Lightpath for both EMMR AdS and EMR dS is coupled in the QBBS boundary parameters
fpsps=fweyweyl=fQBBQBBS=c=HoRH for the nodes of the spacetime mirrors.
The recessional velocity from the Hubble law H(n,t) = vrec(n,t)/R(n,t) for the dS Lightpath becomes
vrec(n,t) = d(R(n,t)/dt = RHd(n/[n+1])/dt = RH(dn/dt)/[n+1]2 = c/[n+1]2
14
The recessional Lightspeed c velocity for the AdS cosmology so precedes the continuously slowing down
vrec(n,t) in dS as the refractive Lightpath with respect to the true Hubble event horizon and due to the
gravitational retardation of the compacted Lightpath in the dS EPM universe.
The reflected form for this recessional velocity c then creates the appearance of an accelerating universe
because the true recessional velocity in AdS is mirrored onto a previously defined coordinate of the
recessional velocity of AdS in dS spacetime and when the AdS Lightpath reached this n-cycle coordinate in its
forward journey to the true Hubble event horizon albeit within the nodal boundary of then both for the
EMMR and the EMR Lightpath parallel.
The actual Hubble parameter so is defined for the curvature radius in the compressed de Sitter spacetime as:
vrec(n, t)/R(n,t) = {c/[n+1]2}{[n+1]/nRH} = Ho/n[n+1] = Ho/T(n)
The time derivative for the actual Hubble parameter is dH/dt=(dH/dn)(dn/dt) = -Ho2(2n+1)/T(n)2
The acceleration for the expanding curvature radius becomes the Milgröm acceleration amil invoked to
explain the dark matter factor in Milgröm’s Modified-Newtonian-Dynamics or MOND model and in
Verlinde’s Emergent Gravity from Quantum Information models.
amil = d(c/[n+1]2)/dt = -2cHo/[n+1]3 = -2c2/RH[n+1]3 [m/s2]*
15
The deviation in the rotation speed of stars and massive astrophysical objects of galactic rotation curves
from Newtonian-Keplerian gravitation is a consequence of the onset of the dark energy at the fractally
synchronized Page Time nexus for the maximum quantum entanglement entropy state for a dark matter
evolving galaxy in the multidimensional cosmology for the cycle time interval n ∊[0.489365, 0.5].
2GoM/R2 < 2cHo/[n+1]3 = 2c2/RH[n+1]3 for galactic extremal Strominger black hole hyperspace equivalent
2GoM/c2 = Rcurv < 2R2/RH[n+1]3 m for Page Time maximum DE entropy n=½ superposed on nodal n=1
The curvature radius of the Strominger BH at Page Time is smaller than twice the extremal BH radius of
closure for the intersecting n-cycle time intervals [-1, -½, -0.489365] with [-½, +½] with [0.489365, ½, 1]
16
c2criticaldV = c2dm = c2mo{(1-[v/c]2)-½ - 1} = c2mo{1+½[v/c]2-3[v/c]4/8+5[v/c]6/16- … - 1} = ½mov2 – 3v4/8c2…
c2.3Ho2/8Go.dV = ½MBcRc/RH = ½MBc2R/RH for (1/8Go) (Hoc)2.dV = (1/8Go)(gi)2.dV = ⅙MBcHoR
17
The EMMR ‘deja vu’ returning Lightpath so will intersect the EMR Lightpath of the expanding de Sitter
universe moving towards the Hubble node H o at a n-coordinate nBMUDM to define the baryonic matter BM
expansion of mass seedling Mo meeting the dark matter DM, as the AdS part of the spacetime into which the
dS spacetime expands into.
Using the REMR(n,t) U REMMR(N,t) definitions in the asymptotically expanding de Sitter cosmology for this
coordinate:
nRH/c[n+1] = (2-n)RH/c for n = (2-n)(n+1) for n2 = 2 and the coordinate nBMUDM = √2 = 1.414 for dark matter
saturation after the returning higher dimensional Lightpath has covered 0.414 or 41.4% of its forward
journey in its ‘déjà vu’ electromagnetic return.
For the present cycle time for npresent=1.132712 then, the true Hubble event horizon in AdS defines a true
Hubble event horizon c/Hpresent = nRH and a compacted Hubble event horizon in dS spacetime as n1RH/[n1+1]
superimposed onto the reflected image of the true Hubble event horizon with a recessional velocity deficit
vrec(1) - vrec(2) = c/[n1+1]2 - c/[n2+1]2 for vrec(1) applicable to the compacted dS universe and vrec(2) the value for
the reflected velocity of the AdS Lightpath revisiting a previously encountered coordinate.
The ‘electromagnetic return’ of the EMMR Lightpath is given by the measurement of the cyclic Hubble
parameter between the minimum odd and maximum even frequency nodes and for the present time the
first half cycle completion and mirrored in the shadow half cycle completion has resulted in a full cycle
completion for the coupled multiverse cosmology with an excess delta or difference of
n = 1.132712 – 1 = 0.132712.
18
The refracted Lightpath RH(n-1) then defines the compacted and dS measured value for the Hubble
parameter as H(npresent) = Ho/(2-npresent) = Ho/0.867288 for the completion of the first full cycle in the second
cycle of the multiverse.
The Particle Hubble event horizon RP(n) = T(n)RH = n(n+1) RH as the n-cycle time defined extent of the AdS
lightspeed invariant multiverse. For the present time it calculates as 40.76 billion lightyears.
A particular unifying n-cycle coordinate is found in the compressed de Sitter spacetime for which the scale
factor a = R(n)/RH = n/[n+1] = X = Y – 1 and so for n = X/(1-X) = (Y-1)/(2-Y) defines the value of the nodal
Hubble constant Ho= c/RH as the Hubble parameter H(n=X) = Ho/T(n=X) and so for the function T(X) = X(X+1)
= X2+X = n2+n = n(n+1) with X2 = 1 – X for T(n)=1
A relationship between X and Y is defined in the Euler identity:
exp[i] = X+Y = XY = i2 = -1 = cos + isin for the roots of T(n)=1 in X=±½ {√5 - 1} and Y=±½{√5 + 1}
H(X=½{√5 - 1) = H(0.618034) = Ho/[X][Y] = Ho/1 = Ho for scale factor a = R(n)/RH = X = 0.618034 = Y - 1
The corresponding n-cycle coordinate nXY = X/(1-X) = X/X2 = 1/X = Y = 1.618034 for
R(n=Y) = YRH/(Y+1) = (√5 + 1) RH/({√5 + 3) = ¼RH(3-√5)(1+√5) = ½RH(√5 - 1) = XRH = 0.618034RH
The unifying cycle coordinate in the compressed dS spacetime is reached at the X-cycle coordinate in the
return of the AdS Lightpath for Y=nXY=1.618034 Y/Ho=YRH/c or 27.306 billion years from the QBBS
19
A second universe was born at the instanton of the AdS refractive Lightpath initially reaching the nodal
mirror of its own refractive dS boundary.
The QBBS boundary conditions define Ho = c/RH = 1.877728045455x10-18 [s-1]* or 58.04 km/Mpc.s
from RH = ∛22H = 1.59767545x1026 m*and where H is a googol of space quanta defined in the QBBS and
the units of measurement are calibrated from a star unit system resulting in calibrating
c*[m/s]*= cSI[1.001671357/1.000978394][m/s]SI
The value for a dark matter inclusive oscillating Hubble parameter is applicable to the de Sitter closed
spacetime whenever n≥1 to effectively decompress dS to AdS spacetime with Hubble parameter Ho/n.
H(npresent) = H(nAdS)| = Ho/(2-npresent) = Ho /0.867288 = [2.165057x10-18 [1/s]* or 66.92 km/Mpc. s for a
universal age of 14.636 Gy in both mensuration systems for cosmological measurement accuracy.
The dark matter sector is defined as a baryon core (BM) – dark matter (DM) halo mass-matter distribution
and is described in a density ratio of the combined BM+DM to the closure mass MH:
BMUDM/critical = MoYnRH3/MHRH3(n/[n+1])3 = oYn{1+1/n}3 = BM{1+1/n}3 for DM = BM{(1+1/n)3–1}
20
The value for a dark matter exclusive and therefore a compressed dS spacetime is found in the actual Hubble
parameter not as a function of cycle time n=Hot, which incorporates the dark matter, but as a function of
cycle time n as given by the scale factor as a proportion of the nodal Hubble frequency interval.
The scale factor for the present time a = n/[n+1] = Hot/[Hot+1] = 0.5311134 defining the present compressed
dS spacetime without the dark matter to have completed 53.11 % of the nodal Hubble horizon interval.
The Hubble parameter Ho/T(n) = Ho/T(a) = Ho{[n+1]/n}{[n+1]/[2n+1]} = Ho[n+1]2/n[2n+1] for the present time
then calculates as H(n,t)|dS = H(npdS) = Ho[np+1]2/np(2np+1) = 1.22972Ho = [2.309075x10-18 [1/s]*
or 71.37 km/Mpc. s for a universal age of 13.724 billion years.
Measurements by the Planck satellite of ESA, the European Space Agency over a number of years obtained
the dark matter sector included value range for the Hubble parameter and measurements probing the
relatively nearby universe obtained values for the Hubble parameter above the 70 km/Mpc.s range as
applicable for a compressed spacetime without the dark matter sector.
Measuring the Hubble parameter within the compressed dS spacetime so will result in values greater than
the value at the lower dimensional Hubble boundary. Those measurements will converge as a mean value
relative to the compressed boundary value at a n-cycle coordinate of n=½ for the onset of the dark energy
epoch in the multidimensional cosmology.
Values for the ‘Hubble tension’ for cosmological distance scales such as cepheid variable stars and SN1a
supernovae, such as the SHOES and Baryon Oscillation Spectroscopic Survey BOSS and Baryonic Acoustic
Oscillations BAO projects will converge to such a value range for a more proximate universe.
{Adam Riess, Tehran, 2021, Supernovae Ho for the dark energy Equation of State}
[2103.01183] In the Realm of the Hubble tension $-$ a Review of Solutions (arxiv.org)
21
H(n,t)|dSDE = H(n=½) = Ho/[½][1+½] = 4Ho/3 = 1.33333Ho = 2.5036374x10-18 [1/s]* or 77.39 km/Mpc.s for a
mean value of (71.37+77.39)/2 = 74.39 km/Mpc. s for a universal age of 12.657 billion years.
H(n,t)|dSDE=0 = H(n=0.489365) = Ho/[0.489365][1.489365] = 1.3720374Ho = 2.57631305x10-18 [1/s]* or 79.63
km/Mpc.s for a mean value of (66.92+79.63)/2 = 73.275 km/Mpc.s for a universal age of 12.300 billion years
for the entire dS-AdS n-cycle time interval from the Page Time of the onset of dark energy changing as a
fraction of the total energy distribution from negative to positive from n=0.489365 to n=½.
https://arxiv.org/abs/2112.04510
What’s Happening with the Hubble Tension? - Graeme Addison (John Hopkins University) - YouTube
Confirmation regarding DE and DM parameters, as well as neutrino masses, can be found in this link.
Planck 2018 results - VI. Cosmological parameters | Astronomy & Astrophysics (A&A)(aanda.org)
The ‘Hubble tension,’ the statistically significant discrepancy between the Planck ESA data using the CMB
cosmic background radiation and the measurements for nearby astrophysical phenomena in galaxies, stellar
distance scales and supernovas analyzed to validate the necessity for DE and the mechanics for an
accelerating expansion for the universe is further addressed in this and other links:
(PDF) The Accelerating Universe, Dark Energy & the Alpha Variation | Anthony P Bermanseder Academia.edu
(PDF) Neutrino Discrepancies and Higgs Neutrino Oscillation Masses | Anthony P Bermanseder Academia.edu
Prespacetime of QuantumDream, Inc.
https://arxiv.org/abs/2112.04510
22
The dark matter sector so resides in the AdS universe of negative curvature and interacts with the dS sector
gravitationally from the higher dimensional, say Kaluza-Klein 5D spacetime perspective. This interaction is
the reason for the lower dimensional thermodynamic EPM expansion to form a compacted Hubble event
horizon in its own boundary of the baryon seed Mo.
The experimental measurements and analysis of dark matter haloes diffusing from galactic centers
gravitationally, so mirrors the AdS sector of the nodal cosmology of the baryonic protoverse embedded in a
dark matter universe in co-locality of the EMR Lightpath and the reflective EMMR Lightpath.
The dS universe is gravitationally compacted in its own closure and positive curvature because the baryon
seed Mo was defined in ylemic Gamow Vortex potentials distributed by the instanton-inflaton epoch creating
the hyperspacetime for the nodal Hubble universe. The EMMR reflective coordinate defines a projected
vantage point for any universal observer as a ‘cosmic wave surfer’ however.
The dS Lightpath is parallel the AdS Lightpath as the natural intersection of the interdimensional invariance
for lightspeed c and Einstein’s postulates of both Special and General Relativity.
23
It is well known that the Radius of Curvature in the Field Equations of General Relativity relates to the
Energy-Mass Tensor in the form of the critical density ρcritical = 3Ho2/8πG and the Hubble Constant Ho as the
square of frequency or alternatively as the time differential of frequency df/dt as a cosmically applicable
angular acceleration independent on the radial displacement.
The scientific nomenclature (language) then describes this curved space in differential equations relating
the positions of the 'points' in both space and time in a 4-dimensional description called Riemann Tensor
Space or similar.
This then leads mathematically to the formulation of General Relativity in Einstein's Field Equations:
for the Einstein-Riemann tensor
and is built upon ten so-called nonlinear coupled hyperbolic-elliptic partial differential equations, which are
mathematically rather complex and often cannot be solved analytically without simplifying the geometries
of the parametric constituents (say objects interacting in so called tensor-fields of stress-energy {Tμν} and
curvatures in the Riemann-Einstein tensor {G μν}, either changing the volume in reduction of the Ricci tensor
{Rij} with scalar curvature R as {Rgμν} for the metric tensor {gμν} or keeping the volume of considered space
invariant to volume change in a Tidal Weyl tensor {Rμν}).
The Einstein-Riemann tensor then relates Curvature Radius R to the Energy-Mass
tensor E=Mc2 via the critical density as 8πG/c 4=3Ho2VcriticalMcritical.c2/Mcritical.c4 = 3Ho2Vcritical/c2 = 3Vcritical/R2
as Curvature Radius R by the Hubble Law applicable say to a nodal Hubble Constant H o = c/RHubble
The cosmological field equations then can be expressed as the square of the nodal Hubble Constant and
inclusive of a ‘dark energy’ term often identified with the Cosmological Constant of Albert Einstein, here
denoted ΛEinstein.
Substituting the Einstein Lambda with the time differential for the square of nodal Hubble frequency as the
angular acceleration acting on a quantized volume of space; however, naturally, and universally replaces the
enigma of the 'dark energy' with a space inherent angular acceleration component, which can be identified
as the 'universal consciousness quantum' directly from the standard cosmology itself.
The field equations so can be generalised in a parametrization of the Hubble Constant assuming a cyclic
form, oscillating between a minimum and maximum value given by Ho=dn/dt for cycle time n=Hot and where
then time t is the 4-vector time-space of Minkowski light-path x=ct.
The Einstein Lambda then becomes then the energy-acceleration difference between the baryonic mass
content of the universe and an inherent mass energy related to the initial condition of the oscillation
parameters for the nodal Hubble Constant.
24
ΛEinstein = GoMo/R(n)2 - 2cHo/(n+1)3 = Cosmological Acceleration - Native Milgröm Deceleration
As gμνΛ = 8πG/c4 Tμν - Gμν for Gμν = 8πG/c4 Tμν - gμνΛ, a negative integrated = 0 can appear as the energystress tensor 8πG/c4 Tμν always being greater than the curvature tensor Gμν
and restated in a mass independent form for an encompassment of the curvature fine structures.
The Friedmann equations for the Friedmann-Robertson-Walker FRW model for the field equations of
General Relativity relate the dark energy pressure P to the matter density (t) as an integrated part of
a Lambda Cold Dark Matter CDM model for the multidimensional cosmology for a flat Minkowski universe,
albeit as an effect of the collocal interaction of a positively curved de Sitter dS universe with a negatively
curved Anti de Sitter AdS universe.
The gμνΛ = 8πG/c4 Tμν - Gμν cosmological constant-quintessence tensor becomes integrated as the
difference between the Energy-Stress tensor 8πG/c4 Tμν and the curvature Einstein-Riemann tensor Gμν with
negative pressure P(n,t) describing the matter density (n,t) as a change in the time rate change of the
Hubble parameter dH(n,t)/dt and therefore the change in the intrinsic Milgröm deceleration as a function of
the nodal Hubble parameter.
Pressure P(n,t) as an energy per unit volume Mc2/R3 and its derivative are always negative, increasing as a
functional part of the dark energy defined as an Einstein quintessence (n) towards its w=0 value for a
matter dominated universe and can therefore be considered integrated as P < c2 as P = wc2 ∀ w<0
P’(n, t) = {-2c2Ho3/4Go}{[3n2+3n+1]/T(n)3} – {3(n+1)2/n4}{Moc2Ho/RH3}
{6GoMo/c2RH}=3o = 0.264176...> {nT[n]-n[2n+1]2}/[n+1]5 = -[3n3+3n2+n]/[n+1]5 < 0 ∀ n,nps >0
The derivative of the integrated pressure is defined in a maximum where matter density Moc2/R(n)3 is equal
to a polynomial function native to the integrated pressure in ’P(n)= n(2n+1)/[n+1]5.
Deceleration parameter q(n) = -{(d2a/dt2)(a}/(da/dt)2 for scale factor a = R(n,t)/RH
Hubble Parameter
H(n,t) = (da/dt)/a with H(n=Hot) = {c/[n+1]2}/{nRH/[n+1]} = Ho/(n[n+1]) = Ho/T(n)
dH(n,t)/dt = {(d2a/dt2)/a – (da/dt)2}/a2 = -q(n){(da/dt)/a}2 - H(n,t)2 = -H(n,t)2{1+q(n,t)}
dH/dt = -Ho2/(n2[n+1]2){1 + (2cHo/[n+1]3)(nRH/[n+1])([n+1]4/c2)} = -Ho2/(n2[n+1]2){1 +(2cnHoRH/c2)}
dH(n=Hot)/dn = -{Ho/T(n)}2{1+2n} for q(t) = -(dH/dt)/H(t)2 -1 = 1+2n-1 = 2n for dS expanding within AdS
Einstein Quintessence Integrated Dark Energy Pressure
From the continuity equation: dρ/dt = -3{(da/dt)/a.{ρ + P/c2}} .................................[Eq.VII-1]
The independent Einstein Field Equations of the Robertson-Walker metric reduce to the Friedmann
equations:
25
H2 = {(da/dt)/a}2 = 8πGρ/3 - kc2/a2 + Λ/3..............[Eq.VII-2]
{(d2a/dt2)/a} = -4πG/3{ρ + 3P/c2} + Λ/3 ....................[Eq.VII-3]
dH/dt + 4πGρ = - 4πGP/c2 for integrated Pressure P(t) = -c2{(dH/dt)/4G + (t)}
Go = GoMo/R(n)3 = -GoP/c2 – (dH/dt)/4 = (n)/R(n) + 2cHo/R(n)[n+1]3 for Volume VdS = 4R(n)3/3
-P(t) = {c2/Go} {(n)/R(n) + 2cHo/R(n)[n+1]3 + (dH/dt)/4}
= {c2/Go} {(n)[n+1]/nRH + 2Ho2/n[n+1]2 – Ho2(2n+1)/4T(n)2}
P(n=Hot) ={c2Ho2/4GoT(n)2}{2n+1-8n+8n} – Moc2/R(n)3= c2Ho2(2n+1)/4GoT(n)2} - Moc2/R(n)3
P(n=Hot) = c2Ho2(2n+1)/{4GoT(n)2} - Moc2/R(n)3 for the spherical VdS = 4R(n)3/3
P(n=Hot) = c2Ho2(2n+1)/{62GoT(n)2} - Moc2/R(n)3 for the hyper-spherical VdS = 22R(n)3
The compressed dS spacetime is spherically closed and embedded within a spherical dark matter inclusive
AdS spacetime. The Riemann hypersphere as a 3-dimensional surface derivative of a 3-sphere of volume
V4(R) = ½2R4 in dV4/dR = 22R3 geometrically encompasses both interacting spacetimes in the horn torus
topology coordinate shifted between the three frequency mirror intervals [-1,0] intersecting [-½,+½]
intersecting [0,1]
These cosmic mirror-shifted Hubble horizons for the Light Energy universe and the Dark Energy shadow
universe are then defined in an overall encompassing closed spherical universe defined by the Particle
horizon of the expanding omniverse.
26
For 'P = 0 the integrated negative pressure maximum coordinate for Moc2/R(n)3 = 'P(n)=0.40825 for the
derivative of 'P(n)=(2n2+n)/[n+1]5 = 0.13389451796 for d{'P(n)}/dn = 0
for ”P(n) = (4n+1)/[n+1]5 - 5n(2n+1)/[n+1]6 = 0 for n=1/√6 = 0.40825
Showing that the Pressure P would be 0 for this coordinate were it not integrated in the Lambda tensor
(0.40825)(R(0.40825) = (41.04504)GoMo/RH3 – (2.47027)Ho2 = (2.0282 – 8.70985)x10-36 [1/s2]* for a
negative Einstein quintessence of -6.68165x10-36 [1/s2]*
or (0.40825)={9.3941–40.3402}x10-11 = -3.0946x10-10 [ms-2]*
→ P(n,t) = c2Ho2(1.8165)/{4Go(0.33053)} - Moc2/R(n)3 = (1.2490–1.6429)x10-9
= -3.939x10-9 [J/m3]* for the spherical VdS = 4R(n)3/3 [N/m2]* as the Lambda integrated pressure at 6.891
billion years after the QBBS as P(n=0.40825) to define a maximum 2o=2Mo/MH in the baryon matter
seedling with P’(0.40825) = -2.3844x10-26 [J/m3s]*
For (n=nps=|ps/RH|mod) = GoMo/ps2 = 2.015x1085 [m/s2]* and nps=ps/RH as min-max scale boundaries
→ P(n,t) = MHfps2/RH{1/2 – o/nps} = 3.645x1087{1/2 - 4.478x1046 [N/m2]* O{-1.63x10134} < 0
for a spherical VdS= 4R(nps)3/3 = 4.18879x10-66 [m3]* for a boundary and initiation redshift z~2x1024 of the
instanton-inflaton QBBS with → dP(n,t)/dt = P’(n,t) = {-2c5/4Gops3} – {3Moc3/ps4}
= {-fps3}{3Mo/ps + c2/2Go} = {-fps3}{5.44x1073 – 1.29x1026} <0 for O(-1.47x10165) [J/m3s]*
For = 0 the onset of the Einstein quintessence changing from positive to negative for n=0.10823
(n0)(R(n0) = (1073.61)GoMo/RH3 – (84.56)Ho2 = (5.3053 – 5.3053)x10-35 [1/s2]* for a negative Einstein
quintessence of 0 [1/s2]* for (n0) = {8.2774 - 8.2774x}10-10 = 0 [ms-2]*
→ P(n,t) = c2Ho2(1.21646)/{4Go(0.01439)} - Moc2/R(n)3 = (1.9212–4.2973)x10-8
= -2.3761x10-8 [N/m2]* for the spherical VdS = 4R(n)3/3 [N/m2]* → P’(n,t) = -2.6908x10-24 [J/m3s]*
For the onset of dark energy for deceleration parameter product q AdS.qdS = 2(½)(1/1-1) = 0 for n=½
(nDE)/(R(nDE) = (27)GoMo/RH3 – (16/9)Ho2 = (1.3342 – 6.2680)x10-36 [1/s2]* for a negative Einstein
quintessence of -4.9339x10-36 [1/s2]* for (nDE) = -2.6276x10-10 [ms-2]*
→ P(n,t) = c2Ho2(2)/{4Go(9/16)} - Moc2/R(n)3 = (8.0807–10.8071)x10-10 = -2.7264x10-10 [N/m2]* for the
spherical VdS = 4R(n)3/3 [N/m2]* → P’(n,t) = -1.4692x10-26 [J/m3s]*
For the completion of the AdS Lightpath at the 1 st odd Hubble node Ho = c/RH for n=1
(1)/(R(1) = (8)GoMo/RH3 – (8/9)Ho2 = (1.3342 – 3.1341)x10-36 [1/s2]* for a negative Einstein quintessence of
-1.8000x10-36 [1/s2]* for (1) = -1.4378x10-10 [ms-2]*
→ P(n,t) = c2Ho2(3)/{4Go(4)} - Moc2/R(n)3 = (1.7045–3.2021)x10-10 = -1.4976x10-10 [N/m2]* for the spherical
VdS = 4R(n)3/3 [N/m2]* → P’(n,t) = -1.6486x10-27 [J/m3s]*
For the present time n=1.132712
(npresent)/(R(npresent) = GoMo/RH3(n/[n+1])3 – 2nHo2/T(n)2 = (3.2984 – 13.686)x10-37 [1/s2]* for a negative
Einstein quintessence of -1.08387x10-36 [1/s2]* for (npresent) = -8.8143x10-11 [ms-2]*
→ P(n,t) = c2Ho2(3.2654)/{4Go(5.8358)} - Moc2/R(n)3 = (1.2713–2.6717)x10-10
= -1.4004x10-10 [J/m3]* for the spherical VdS = 4R(n)3/3 [N/m2]* → P’(n,t) = -1.1223x10-27 [J/m3s]*
27
For the quantum tunneling of the asymptotic protoverse into the first universe for n=234.4715
(nquantumtunnel)/(R(nquantumtunnel) = GoMo/RH3(n/[n+1])3 – 2nHo2/T(n)2 = 5.0051x10-38–5.4241x10-43
= O(5x10-38) [1/s2]* for a positive Einstein quintessence of 5.0051x10-38 [1/s2]*
for (nquantumtunnel) = 7.9624x10-12 [ms-2]*
→ P(n,t) = c2Ho2(469.943)/{4Go(3.0483x109)} - Moc2/R(n)3 = (3.5037x10-17– 4.0541x10-11)
= -4.0541x10-11 [N/m2]* for the spherical VdS = 4R(n)3/3 [N/m2]* → P’(n,t) = -4.1371x10-33 [J/m3s]*
The AdS expansion has scale factor a = nRH/RH = n with invariant recession velocity c and 0 acceleration and
is a function of n=Hot limited in the Particle Hubble event horizon
RP(n) = T(n)RH = n(n+1)RH.
As the deceleration parameter will be q=2 for n=1 for the nodal Hubble boundary Ho for the dS-AdS
spacetime mirror for the EMMI Lightpath a product qAdS.qdS = 2n(1/2n – 1) = 1 – 2n with a superposed
deceleration parameter qdS for the cyclic cosmology of the EMR Lightpath initializes the dark energy onset
for n=½ to give the deceleration parameter product a zero value.
This then defines qdS(n) = 1/2n – 1 generally and qdS = -½ for qAdS = 2 for nodal Hubble bound n=1
For a present cycle time coordinate n=1.1327117... qAdS = 2.26542 and qdS = -0.5586, the qdS value being
measured by astrophysical experiments as
qo = ½DMUBM – DE = 0.162 - 0.677 = -0.515 > ½DM – DE = 0.137 - 0.677 = -0.540
Dark energy initiation for n=½ then occurs for qAdS = 1 with qdS = 1/1 – 1 = 0
This stipulates a Hubble time (1.132712 - ½)/Ho = 0.632712/Ho = 10.677 billion years ago for the open AdS
spacetime and a Hubble time (0.867288 - ½)/Ho = 0.367288/Ho = 6.198 billion years ago for the closed and
compressed dS spacetime.
The cosmological relativistic Doppler redshift is z DE=0.6124 for a Cosmic radiation background temperature
of 4.254 K*.
Baryon Matter, Dark Matter and Dark Energy distribution in BM + DM + DE = 1 = of(n) + DE
DE < 0 for n<nDE=0 and DE = 0 for n=nDE=0 and DE > 0 for n>nDE=0
The density ratio BMUDM/critical = MoYnRH3/MHRH3(n/[n+1])3 = oYn{1+1/n}3 = of(n) = BM{1+1/n}3
BMUDM/critical + DE = 1 = of(n) + DE = BM{1+1/n}3 + DE
For DM = BM{(1 + 1/n)3 – 1} = o(1.618033)1.132712{5.67480} = {0.048344}{5.67480} = 0.274344 and
DE = 1 – DM – BM = 1 - BM{(1+1/n)3} = 1 – 0.048344{ 6.67480} = 0.677313 for the present time
BM = 0.048344 with DM = 0.274344 with DE = 0.677313
As GoMo = G(n)XnM(n)Yn= G(n)Xn{Mi+Mj}(n)Yn = G(n)Xn{MBM+MDM}(n)Yn = constant
with oYn=BM GoXn.Yno = G(n)BM for 2o - Pmax(n=0.40825)
1 + 2o – ’|max = G(nmeasured)/GoXn + = oGmYn/BMG(n) + for a measured Gm = G(nmeasured)
1+0.176117-0.1338945 + = 1.0422225 + = {0.02803Yn/0.04834}Yn{Gm)/G(n)
= 1.00009{Gm/6.442195x10-11} for a monopole derived delta = 1.0422225 – 1.035428 = 0.006794
Gm= 6.4416152x10-11 {1.042225 + } =6.6698x10-11[m3/kg.s2]* and 6.67443x10-11 [m3/kg.s2]SI
28
The Dark Energy and the 'Cosmological Constant' exhibiting the nature of an intrinsic negative pressure in
the cosmology became defined in the overall critical deceleration and density parameters.
The energy density Moc2/R(n)3 as the energy-stress tensor always exceeds Pressure P(n,t) and its derivative
dP(n,t)/dt.
The pressure term in the Friedmann equations being a quintessence of function n and changing sign from
positive to negative to positive as indicated.
The encompassing cosmology so is always matter dominated in the sense of the overall energy distribution
and the asymptotic zero approach of the integrated negative pressure quintessence.
Critical Density c = 3Ho2/8Go dS with c = Ho2/42Go AdS in factor 3/2
for H(n)2 = {da/dt}2/a2 = {c2/[n+1]4}/{n2RH2/[n+1]2} = Ho2/n2[n+1]2 = Ho2/T(n)2
for {da/dt}2 = 8Goca2/3 dS and {da/dt}2 = 42Goca2 AdS for spherical closure dS in omnispace as a
function of the Particle Hubble event horizon of the nodal cosmology for critical density critical and curvature
radius Rcurv = 2GoMH/c2 and scale factor a(n,t)=R(n,t)/RH
∫da/a = ∫√{8Goc/3}dt dS and ∫da/a = ∫√{42Goc} dt AdS
for ln{a} = √{8Goc/3}t dS and ln{a} = √{42Goc}t AdS
for a(t) = exp[√{8Goc/3}t] = exp[Ho] dS and a(t) = exp[√{42Goc}t] = exp[Ho] AdS
This correlates with a generalised density (n=Hot) varying cosmology, often modelled as a flat matter only
de Sitter universe with scale factor a(n,t) = R(n)/R H = R(n)Ho/c ∝ t⅔
H(n) = {(dR(t)/dt)/RH}/{R(t)/RH} = √{8Go(n,t)/3} = √{8Go(M(n,t)/3R(n,t)3} dS and
H(n) = {(dR(t)/dt)/RH}/{R(t)/RH} = √{42Go(n,t)} = √{42Go(M(n,t)/R(n,t)3} AdS
For √R(t).dR(t) = √{8Go(M(n,t)/3}.dt dS and √R(t).dR(t) = √{42Go(M(n,t)}.dt AdS
For ⅔R(t)1.5 = √{8Go(M(n,t)/3}t and R(t) = ∛{6Go(M(n,t)} t⅔ dS and
for ⅔R(t)1.5 = √{42Go(M(n,t)}t and R(t) = ∛{92Go(M(n,t)} t⅔ AdS within the closed dS omniverse
For AdS encompassing the cyclic dS protoverse as a multiverse as a closed dS spacetime, the scale factor is
a=n=Hot for dn/dt=Ho for the Particle Horizon and closure n=1 for M(n,t)=MH=Rcurvc2/2Go with
nRH=R(n,t) = ∛{6Go(M(n,t)} [n/Ho]⅔ dS for nRH3 = {6Go(M(n,t)/Ho2} = 9M(n,t)/4c and
n = 9M(n,t)/4cRH3 = {9M(n,t)/4RH3}{4RH3/3MH} = 3{Rcurv/RH} = 3 for M(n,t) = MH and n=1
For the dS omniverse encompassing the cyclic dS protoverse as a multiverse as AdS spacetime in the
topology of a horn torus, the scale factor is a=n=Hot for dn/dt=Ho for the Particle Horizon and closure n=1 for
M(n,t)=MH=Rcurvc2/2Go with
nRH=R(n,t) = ∛{92Go(M(n,t)} [n/Ho]⅔ dS for nRH3 = {92Go(M(n,t)/Ho2} = 9M(n,t)/4c and
n = 9M(n,t)/4cRH3 = {9M(n,t)/4RH3}{22RH3/MH} = 92/2 for M(n,t) = MH and cycle n=1
The time for closure so becomes about one third the Hubble time 1/Ho = RH/c in
t2 = RH3/6GoMH = RH/3Ho2Rcurv = 1/3Ho2 for a time t=1.73473x1017 s* or n=0.32573 or 5.4971 Gy, when
R(t=n/Ho) = 3.9253x1025 m* = 0.2457RH
29
For a present measured deceleration parameter q dS=-0.5586, the DE Lambda as the negative Einstein
quintessence calculates as -8.8143x10-11 [m/s2]*or as 1.0388x10-36 [s-2]* and as a negative pressure of
-1.4004x10-10 [N/m2=J/m3]* as a function of the native universal Milgröm deceleration
amil = -2Ho2RH/[n+1]3 = -1.1614x10-10 [m/s2]*.
The Einstein Lambda then becomes the energy-acceleration difference between the baryonic mass content
of the universe and an inherent mass energy related to the initial condition of the oscillation parameters for
the nodal Hubble Constant.
For (n) = M(n)/MH = 2qo = 1 = R(n)/RH the AdS cosmology attains closure for a cycle coordinate n=1 in the
EMMR Lightpath and a time, when the dS gravitationally retarded universe has reached the halfway point in
its asymptotically defined expansion in scale factor R(n,t)/R H = n/[n+1] = a(n,t) in a recessional velocity of the
expanding dS wavefront slower than the speed of light.
The dS compressed universe has reached the halfway marker for the onset of the dark energy at a cycle time
coordinate of n=1 and when the AdS dark matter inclusive universe has reached the nodal Hubble event
horizon as the boundary for the multidimensional cosmology as set in the superluminal Lightpath of the
QBBS superimposed onto the parallel evolution of the dS and AdS spacetimes expansion.
The extent of the EMMR Lightpath in AdS so encompasses a full nodal displacement in the interval [n ps~0,1]
which is phase shifted as the interval [-½,+½] to mirror the invariance of the EMR Lightpath relative to the
gravitationally retarded EMR Lightpath in the cycle coordinate n=½ as a proxy nodal mirror for the true
Hubble node at n=1.
The ‘return’ of the reflected EMMR Lightpath from the true Hubble event horizon so is made manifest as the
EMR Lightpath at the proxy Hubble node at the DE n-cycle coordinate n=½ and for which the deceleration
parameter product is zero for qAdS = 2n = 1 and qdS =1/qAdS – 1 = 0.
The actual curvature radius for n=½ for the dS cosmology is R(½) =½.⅔RH = ⅓RH to indicate that the dark
matter portion for the compressed spacetime will be 1/23–1/33 = 1/8 – 1/27 = 19/108 = 0.0880 = 1/11.36 in
terms of the volume occupied.
For n=1, the dark matter sector so will be doubled to 0.1759 = 1/5.6842 for the ratio between the dS sector
without the dark matter and the AdS sector with the dark matter with 1/6.6842 + 5.6842/6.6842 = 1 or as so
15% BM and 85% DM as the total matter content of the universe.
The distribution for the present scale factor of 0.53R H gives BM = oY1.132712 = 0.04834 and for npresent
DM = o{1 + 1/n}3 = 0.2743 as 4.834/32.262 = 14.98% and 27.43/32.262 = 85.02%.
The difference between the AdS curvature radius for n=1 superposed onto the dS curvature radius for n=1
and the actual dS curvature radius for n=½ then is (½-⅓)RH = ⅙RH for a ratio of ½RH/⅓RH = 3/2
The density parameter = R(n)/RH = 1 so triggers the second universe from the lightspeed invariant AdS
completion of the Lightpath in the AdS cosmology with the Dark Energy manifesting in potential energy
vortices of wormholes defined in the inflaton hyperspace cosmology and superpositioned as the phase shift
of the [nps,1] interval in the interval [-½,+½] as the dark energy onset.
This defines the Dark Energy onset for the difference between the AdS EMMI ct=nR H Lightpath and the dS
EMR expansion R(n)=nRH/[n+1] as RH{n – n/[n+1]} = RH{(T(n)-n)/[n+1]} = n2RH/[n+1] = ⅙RH for n=½
30
This difference is trivially 0 for the QBBS and n=0~nps and is 0 for the intersection coordinate for the stasis of
the dark matter part with the baryonic matter part of the energy density for the cyclic return of the EMMI
Lightpath ct=RH{2-n} > RH with {2-n}=n/[n+1] or 2-n2 = 0 for nBMUDM = √2
For n=1 and the nodal Hubble event horizon the AdS-dS difference n2RH/[n+1] = ½RH for=n/[n+1]
31
32
Any spacetime observer then measures the universe from two locations simultaneously; namely from the
origin of the QBBS as a Big Bang witness and as a ‘cosmic wave surfer’ ‘riding’ not the compacted closed de
Sitter boundary of the universe, but the open Anti de Sitter boundary of the refracted Lightpath of the higher
dimensional electromagnetic monopolar Lightpath at the ‘déjà vu’ coordinate mirrored from the second
universe, created by the intersection of the forward journey of the EMMR and both refracted and reflected
from the boundary of the nodal Hubble event horizon.
A perfectly flat EPM universe emerges because the positive curvature of the gravitationally compacted
‘baryonic’ spacetime expansion cancels the negative curvature of the open hyperbolic spacetime in the
Lightpath reflectivity of the ‘dark mattered’ spacetime contraction from the nodal Ho Hubble mirror of the
QBBS parameters.
As the dS refractive recessional velocity continually decreases in the asymptotic evolution of the dS universe
in its definiton of the true Hubble event horizon; the reflective part will increase with a relative Doppler
blueshift from the Hubble node of the protoverse to mimic an accelerating cosmology for the Big Bang
observer looking backwards in time. This QBBS observer will measure a universe getting younger in time for
completion of the Hubble cycle of a MBH ‘heartbeat’ oscillation n=1 to n=2.
The ‘cosmic wave surfer’ moving with the recessional velocity of the AdS multiverse and with the boundary
of the continually manifesting true Hubble event horizon will however understand that this observer
experiences a co-moving cosmological Arpian redshift relative to the stationary Big Bang view.
The asymptotic expansion of the open EPM dS universe continues, but never reaches the nodal Hubble
event horizon due to the negative curvature of the AdS cosmology. The experienced universe is so both open
and closed in multidimensionality with the ‘big crunch’ solution of the cosmological formulations being
circumvented in the nature of the AdS Lightpath.
As a half cycle defines the Lightpath between the even and odd nodes for the nodal Hubble event horizon
with n=1 in the halfway marker of the dark energy onset at n=½, resetting the nodal unitary displacement for
the n-intervals [-½, +½} and [0/nps, 1]=[fps, Ho] ; resolves the ‘horizon problem’ with respect to the Lightpath
communicating at lightspeed with its opposite radial coordinate in the reset image of the dark energy
coordinate in the shadow universe of Khaibit at n=-½.
This relates to the AdS-CFT correspondence of Maldacena-Susskind and co-operators regarding a
Holographic Universe cosmology and the Page curve bound in the Hawking Black Hole Information paradox.
https://youtu.be/klpDHn8viX8
33
The Anti de Sitter AdS spacetime is negatively curved as 3-dimensional volumar behaving like a hologram. It
is bounded by a 2-dimensional surface relating the graviton generating Conformal-Field-Theory CFT as the
information matrix encoding the 3-dimensional holographic universe.
This ‘Bousso bound’ for a 3-dimensional spherical universe of hyperbolic negative curvature then is modelled
as the 11-dimensional Witten mirror of the membrane bulk space in string-membrane theory in 8+2=10
membrane spatial dimensions with intermediate quantum wormhole-entangled mirror dimensions as a 5th
Kaluza-Klein hyperspace surface dimension and an 8th Penrose-Twistor manifold dimension.
A 12th ‘volumar-brane’ ‘Vafa’ dimension, say as the ‘outside’ of the CFT “Bousso bound’ then closes the
multidimensional spectrum as a reversed time dimension rendering the 13 th dimension for a mathematical
continuation as a linespace dimension as equal to the null dimension of the timespace singularity of the
Quantum Big Bang Singularity or QBBS and enables the 12th dimension of the Bousso-Vafa boundary to
assume a physical realization as the 1st spacetime dimension from the Planck epoch transition from
timespace into spacetime. The 12 dimensions so can be modelled to reduce to 3x4D hyperspace dimensions
without time or as 4x3D spatial dimensions utilizing dimension counters 4, 7, 10 and 13=1 as time connector
dimensions. In string-membrane theory 6 spatial dimensions are compactified in Calabi-Yau manifolds within
a 4-dimensional spacetime and in 10-dimensional string bulk space or in 11-dimensional membrane bulk
space.
The famous Hawking Black Hole Information paradox then addresses the fact that in classical physical theory
and for Black Hole BH descriptions in General Relativity, the information absorbed by a Black Hole’s gravity
should become lost within the Black Hole and inclusive of the ‘virtual’ quantum pair partner quantum
entangled with the ‘materializing’ matter-antimatter partner responsible for Hawking Radiation and causing
a quantum mechanical loss of mass and heat for the BH.
One basic premise for this situation proposed by Hawking, is the independence of a BH from its formation
and initial state of 0 entropy and that no information within the BH could be accessible from its outside. The
evaporating BH so would lose information within its interior irreversibly by Hawking radiation.
The Hawking BH Information paradox then appears in its conflict with both classical physics and quantum
mechanics in regard to conservation laws with respect to energy and momentum and the unitarity principle,
demanding that the initial state of a quantum mechanical wave function evolving according to a unitary
operator is preserved at any state of the wave function |(t1)> = U(t1,t2)|(t2)>.
As the unitary operator has an inverse, the reversal of the wave function should also always preserve the
information expressed by the wave function of the system.
The paradox is resolved in quantum entanglement of the Hawking radiation coupled as a Hawking particle of
positive mass-energy as Hawking radiation from the BH event horizon without with the absorbed Hawking
antiparticle of say negative mass-energy within. Any escaping Hawking radiation so must conserve the
energy-momentum balance by decreasing the mass of the emitting Black hole. Any BH event horizon within
the dS universe is quantum entangled with the Hubble event horizon of the AdS Lightpath of the EMMI
expanding wavefront of the universe for the multidimensional cosmology.
The AdS expanding wavefront can be called the ‘Mother extremal Strominger BH’ of the Maldacena-Susskind
AdS-CFT correspondence of the Bousso-Witten-Vafa bound quantum entangled with the dS expanding
wavefront of the dS universe as her daughter.
34
Considering the dS cosmology as a gravitationally compressed spacetime mirroring the AdS Lightpath as the
‘Daughter extremal Strominger BH’, the Hawking entropy would rise from the creation event of the QBBS
until its dS Lightpath would encounter the halfway marker of n=½ as the onset of Dark Energy and as the
creation of a extremal BH event horizon as defined by the Page curve as a Quantum Extremal Surface or
Manifold and as the maximum entropy coordinate for the time evolution of a Black Hole.
Past the maximum entanglement entropy, the negative mass-energy Hawking particles no longer are
confined within the BH and become part of the spacetime outside of the BH, but within the CFT Bousso
boundary. Considering the Strominger form of the dS and AdS cosmologies as eternal-extremal Black Holes,
which do not Hawking radiate; the BH Hawking particles become ordinary positive mass-energy particles of
the lower dimensional cosmology emitted from the QBBS-dS wave front quantum entanglement towards the
Bousso-Witten CFT quantum mechanical inner boundary of the compressed spacetime.
The negative mass-energy BH Hawking particles manifest in imaginary Hawking-Wick time in the mirror
image of the QBBS in the Khaibit shadow or mirror universe. But the imaginary Hawking-Wick event horizon
is in physically real time as the dS-Bousso bound and so the Dark Matter contained in the compressed dS
spacetime is subtracted as negative mass from the outer dS-Bousso bound in the mirror duality to balance
the critical density for overall mass closure of the multidimensional cosmology.
The inner AdS-Bousso bound then emits positive mass-energy Hawking particles as the Dark Matter fraction
not intersecting the baryonic matter and the outer AdS-Bousso bound matches this ‘dark matter’ as negative
mass-energy Hawking particles not as Hawking radiation, but in the form of ‘light matter’ Vortex-PotentialEnergy VPE or ZPE associated with the spacetime creation defined by the true Hubble node as the expanding
wave front of the multidimensional quantum entangled multiverse. This imaginary time is also bounded as
real time in the inner boundary of the Bousso-Witten-Vafa CFT quantum mechanical inner boundary of the
uncompressed AdS spacetime in omnispace in 12-dimensional Vafa-time and as the reversal of the time
arrow as the outer form of the CFT boundary.
35
The inner boundary of the dS-Bousso CFT boundary so emits and absorbs the mass-energy dynamics in
energy-momentum conservation and continuity and in the form of the Einstein quintessence incorporating
both baryonic and dark matter of the lower dimensional dS universe as the information contained in the de
Sitter universe, bounded by its higher dimensional Anti de Sitter universe in an extremal BH communication
between the AdS mother and the dS daughter universes.
The spacetime between the two spacetimes geometrically and topologically describes a region of
spacetime exclusively occupied by dark matter as that part of the critical density not yet reached by the
expansion of the compressed dS wavefront of the gravitationally retarded cosmology.
Baryon Matter, Dark Matter and Dark Energy distribution in BM + DM + DE = 1 = of(n) + DE
DE < 0 for n<nDE=0 and DE = 0 for n=nDE=0 and DE > 0 for n>nDE=0
The density ratio BMUDM/critical = MoYnRH3/MHRH3(n/[n+1])3 = oYn{1+1/n}3 = of(n) = BM{1+1/n}3
BMUDM/critical + DE = 1 = of(n) + DE = BM{1+1/n}3 + DE
For DM = BM {(1 + 1/n)3 – 1} = o(1.618033)1.132712{5.67480} = {0.048344}{5.67480} = 0.274344 and
DE = 1 – DM – BM = 1 - BM{(1+1/n)3} = 1 – 0.048344{ 6.67480} = 0.677313 for the present time
BM = 0.048344 with DM = 0.274344 with DE = 0.677313
For n<nDE=0 the quintessential DE fraction is negative and subtracted from the Dark Matter fraction.
The Dark Energy DE onset as a correlation between the scale factors a(n=½) = R(n, t)/RH = n/[n+1] = ⅓
and a(n=1) = R(n, t)/RH = n/[n+1] = ½ then synchronizes the intersection interval between the closed
compressed dS spacetime and the uncompressed open AdS spacetime in the intersecting twinned universe
in the interval [-½|0|+½] as imaged half cycles as a full cycle [0+nps,+1] imaged in [-1, 0-nps].
For the DE to be 0 the density ratio BMUDM/critical = 1 describing the Sarkar mass seedling Mo to increase
quintessentially by the BM-DM intersection, saturated at n=√2 for constant BM to the closure value MH as
o=1.
oYn{1+1/n}3 = 1 for root ni+1 = ni – f(ni)/f’(ni) by a Newton-Raphson approximation
for f(n) = oexp[nlnY]{1+1/n}3 – 1 = 0 and f’(n) = oexp[nlnY]{1+1/n}2}(lnY[1+1/n]-3/n2)
For n1=½; n2 = ½ - f(½)/f’(½) = ½-(27oY½-1)/(9 oY½{3lnY-12} = ½-(-0.037323)/(-3.387457) = 0.488982
converging to nDE=0 = 0.489365… = ½ - 0.010635 and as n/Ho =nRH/c = t = 179.48 million years as the
quantum extremal surface wall for the Page Time in the resolution of the Hawking Information Paradox and
as the transition period from the onset of the dark energy 8.258 billion years from the QBBS to 8.438 billion
years as the scale factor a(1)=R(n)/RH=½.
This synchronizes the nodal Ho=c/RH frequency with the halfway marker for the AdS Lightpath nR H/RH=½
meeting the dS Lightpath in the inflaton reversed and nodal mirror EMMR reflection.
36
For n=nps the mass-energy % distribution o = BM+DM+DE = (2.803+97.197) in (1.14-1.14)x10145
For n=0.014015 the mass-energy % distribution o = BM+DM+DE = (2.822+97.178) in (1.06-1.06)x106
For n=0.02803 the mass-energy % distribution o = BM+DM+DE = (2.841+140,158.774-140,061.615)
For n=0.10823 the mass-energy % distribution o = BM+DM+DE = (2.953+3167.261-3070.214)
For n=0.2389 the mass-energy % distribution o = BM+DM+DE = (3.144+435.397-338.541)
For n=0.489365 the mass-energy % distribution o = BM+DM+DE = (3.547+96.453+0)
For n=0.49 the mass-energy % distribution o = BM+DM+DE = (3.548+96.211+0.241)
For n=½ the mass-energy % distribution o = BM+DM+DE = (3.565+92.703+3.732)
For n=1 the mass-energy % distribution o = BM+DM+DE= (4.535+31.748+63.717)
For n=1.132712 the mass-energy % distribution o = BM+DM+DE = (4.834+27.434+67.732)
For n=√2 the mass-energy % distribution o = BM+DM+DE = (5.536+22.004+72.460)
For n=2 the mass-energy % distribution o = BM+DM+DE = (5.536+3.924+90.540)
For n=234.4715 the mass-energy % distribution o = BM+DM+DE = (5.536+0.071+94.393)
The particles within the compressed dS ‘daughter BH’ spacetime so can be considered to be Hawking
positive mass-energy particles and the particles without this space time but within the AdS spacetime can be
said to be the Hawking negative mass-energy particles; the particle pairs increasing the overall entropy of
the dS universe until the maximum entropy state is attained.
From this maximum entropy state as the Page time for the dark energy onset at cycle time coordinate n=½
and imaged in imaginary time at n=-½, the overall entanglement entropy begins to decline.
Then the two imaged half cycles define a full cycle |-½|+|+½| = 1 for n=1 and the time coordinate the scale
factor a = R(n=1)/RH = n/[n+1] = ½ has reached the Page time coordinate of the entanglement entropy
maximum.
The refractive-reflective duality of the EMMR Lightpath of the AdS cosmology for the Page time and the
onset of a decrease in the entanglement entropy so initiates a change of the geometric topology of the
wormhole curvature connectivity between the dS and the AdS universes.
The hyperbolic open dS spacetime manifests its boundary of closure in continuation as the Bousso inner
boundary as the dS opening of the connecting wormhole bridge and the outer boundary cancels the
reflective inner boundary of the hyperbolic AdS spacetime opening of the EPR wormhole bridge and to
manifest its outer Bousso boundary as the refractive boundary of closure for the higher dimensional AdS
Lightpath continuation at the other end of the wormhole connectivity.
The Minkowski flat space metric ds2 = -dt2 + dx2 + dy2 + dz2 is equivalent to the 4-dimensional Euclidean
metric ds2 = d2 + dx2 + dy2 + dz2 in rotation Wick space as Hawking’s imaginary time t=i
Hawking’s imaginary time as a Wick time of rotation space relates the [-½, +½] n-cycle time interval of the
twinned universe to the creation of the Quantum Extremal Surface as the n coordinates n = i2Hot = -½, in the
shadow universe Khaibit and n = Hot = +½ in the universe of the instanton-inflaton QBBS. The rotation space
for the dS cosmology so takes the form of the holographic boundary between 3D-linespace as 4D-spacetime
and a 4-dimensional hyperspace without time as a 5D hyperspacetime.
37
That quantum entanglement is an effect of wormholes has been proposed by Susskind and Maldacena in
2013. Maximum quantum entanglement between two spatially separated Black Holes, say the AdS distant
mother and the dS distant daughter, is achieved in EPR Einstein-Podolsky-Rosen bridge pair connections or
wormholes.
{ [1306.0533] Cool horizons for entangled black holes (arxiv.org)}
The information in the dS cosmology so is wormhole tunneled to the AdS cosmology since the QBBS and the
creation event with either the dS universe or the AdS universe enabled to become a simulation of the other
and as discovered by Hartman and Tajdini in 2019 as the path integral for both classical and quantum
gravitation.
{ [2011.09043] Replica wormholes for an evaporating 2D black hole (arxiv.org)}
In Quantum Relativity, both extremal Black Holes in dS and AdS are physically real and separated by a 5D-8D
or 11D hyperspacetime AdS-CFT quantum mechanical correspondence and so a quantum gravitational
boundary.
The nonlocality of the AdS-CFT duality so intrinsically links to the mirror duality of the string-membrane
cosmology in changing the quantum geometry of the wormhole connectivity in the positive curvature of the
holographic universe closed by the Bousso-Witten-Vafa CFT quantum bound yet being open with negative
curvature in wormhole ‘saddle points’ as replica wormholes changing in inverse proportionality in regard to
the entanglement entropy with its native BH Maldacena-Susskind pairing.
The bulk spacetime of the cosmologies so is fundamentally not metric based but integrates spacetime
quanta in the form of the QBBS minimum spacetime configuration as the Weyl-wormhole of the EpsEss
supermembrane derived from the Dirac string and the Dirac magnetic monopole.
The spacetime volumar 22rps3 so is compressed in the spacetime volumar 4r4D3/3 in the Source energy per
unit volume EVPE-ZPE = 4Eps/ps3 for r4D = ∛{3/2} rps = 1.67654rps in the surface area modulation 62=3.4/2
in the dimensional reduction of the sphericity of the 3-ball V4=½2R44 as a 3-dimensional surface dV4/dR4 =
22R33 to the 2-ball V3=4R33/3 as the energy per unit volumar spacetime quantum for the wormhole
integration of the multidimensional cosmology.
The quantized spacetime so becomes a summation of Susskind-Maldacena integrated wormhole quanta
enabled to connect time-parallel extremal Strominger black holes as a closed dS universe and an open AdS
universe as an Einstein-Podolsky-Rosen bridge. The region of spacetime connected by the two wormhole
faces then describes the dark wormhole matter not intersecting the baryonic mass seed and is defined in
the extremal quantum surface of the Page Time.
38
39
The Most Famous Paradox in Physics Nears Its End | Quanta Magazine
Depending on the number of cycles defined by the QBBS boundary initial parameters, further universes are
born from the protoversal seed depending on the completion of the cycle counts and the resetting of the
nodal Hubble parameters at the end of the cycle counts for respective universes from the protoversal seed.
40
After 234. 4715 Cycles, the n-cycle coordinate will have reached a value of 234.15/235.15 = 0.99575 or
99.575 % of the nodal Hubble radius and at a time coordinate of t=234.4715/H o = 234.4715RH/c or
1.2486936x1020 [s]* or 3.957x1012 years or about 4 trillion years.
Models of cosmology project this timeframe to result in a ‘heat death’ of the lower dimensional universe in
its exhaustion of nuclear fuel required for continual star formation. But at his time, the second universe
created as a cyclic second QBBS 233.4715 cycles earlier, will have attained an almost equal radial extent at
the 233.4715 cycle coordinate and the protoversal seedling will quantum tunnel as the 1st universe into the
second universe.
The reducing quantum wall of displacement for a quantum tunnel as the ‘thickness’ of the wall is so replaced
in the nodal extent of spacetime as 234.4715 – 233.4715 = 1 = 235.4715 – 234.4715.
41
42
43
End of Introduction to:
Dirac’s Magnetic Monopole and the Energy Density of the Universe from Dark Matter with Dark
Energy - A Cosmology of Initial Boundary Conditions
I: Introduction to a Multidimensional Relaxation Cosmology for a ‘Hubble Tension’ in Quantum Relativity
with Hawking’s Information Paradox Resolution………………………………………………………………………..…….. (12-44)
II: Foreword – Dirac’s String-Monopole Transformation……………………………………………………………..….…(45-46)
III: The Creation of Dirac’s Quantum Big Bang in Spacetime from Timespace………………………….…..….…(47-66)
IV: The Dark Energy coupled to the Light Energy of a Shadow-Mirror Universe……………….…….……….…(67-81)
V: The Higgs-Planck False Vacuum and the Temperature Gradient for the QBBS Cosmology…………..…(82-97)
VI: The Ylemic Universe and Quantum Gravitation from Superbrane Parameters…………………..…....….(98-123)
VII: A Synthesis of ΛCDM with MOND in a Universal Lambda Milgröm Deceleration……………………….(124-136)
VIII: A Revision of the Friedmann Cosmology and Emergent Gravity in a Hypermass Multiverse……..(137-178)
IX: Ylemic Gluon-Quark-Plasma Protostars as Vortex QBBS Energies…………………………………..…….…....(179-198)
X: Primordial Neutron Decay from Higgs Boson – RMP/DM Quantum Geometry……………………….......(199-202)
XI: Initial Boundary Conditions for Matter-Antimatter Asymmetry…………………………………………...…....(203-222)
XII: The Gravitational Constant, the Alpha Finestructure Constant and the GUT-Monopole…………….(223-234)
XIII: The Inflaton and the Grand Unification Symmetry in a Transformation of Supermembranes……(235-265)
XIV: The Quantum Relativistic Monopolar Electron………………………………………………………………..……….(266-314)
XV: The Birth of the Universe in Space and Time from Physicalized Universal Consciousness……..…..(315-343)
XVI: Quantum Consciousness in the Penrose-Hameroff Model…………………………………………………..……(344-353)
XVII: Epilogue: God Reborn - The Birth of God as a Superbrane - A Story of Intelligent Design and the Creation
of the Quantum Universe in the Uniphyscon of Quantum Entangled Omnispace……………..…….…….…(354-366)
Dirac’s Magnetic Monopole And The Energy Density Of The Universe From Dark Matter With Dark Energy |
Cosmogenesis - Library of Akbar Ra in Alexandria Thuban (cosmosdawn.net)
Anthony P Bermanseder - Academia.edu
44
II: Foreword – Dirac’s String-Monopole Transformation :
Paul A.M. Dirac said in his 1931 paper addressing his work on the quantization of electric charge in
connection with the magnetic charge of a magnetic monopole:
“The theory leads to a connection, namely, [eg0 = hc/4], between the quantum of magnetic pole and the
electronic charge. It is rather disappointing to find this reciprocity between electricity and magnetism,
instead of a purely electronic quantum condition such as [hc/2e2].”
In his 1948 paper Dirac emphasized his belief in magnetic monopoles:
“The quantization of electricity is one of the most fundamental and striking features of atomic physics, and
there seems to be no explanation for it apart from the theory of poles. This provides some grounds for
believing in the existence of these poles.”
Then in 1978, Dirac expressed his disappointment as to the apparent unreality of magnetic monopoles and
the physical importance of the electromagnetic finestructure constant alpha:
“…[the theory]...did not lead to any value for this number value [-1 ≈ 137], and, for that reason, my
argument seemed to be a failure and I was disappointed with it.”
“The problem of explaining this number hc/2e2 is still completely unsolved. Nearly 50 years have passed
since then. I think it is perhaps the most fundamental unsolved problem of physics at the present time, and I
doubt very much whether any really big progress will be made in understanding the fundamentals of physics
until it is solved.”
Ref: Dirac, P.A.M. (September 1931). "Quantized Singularities in the Electromagnetic Field.” Proceedings.
133 (821): 60–72.Bibcode:1931RSPSA.133...60D. doi:10.1098/rspa.1931.0130.
1.
2.
3.
4.
Dirac PAM. Quantized singularities in the electromagnetic field. Proc R Soc Lond A. 1931; 133: 60-72.
Dirac PAM. The theory of magnetic poles. Phys Rev. 1948; 74: 817-830.
Dirac PAM. The monopole concepts. Int J Theor Phys. 1978; 17: 235–247.
https://arxiv.org/pdf/1810.13403.pdf
45
Scientists Create Synthetic Dirac Monopole
October 17, 2016 - by lastscience
For the first time ever, physicists have created and photographed synthetic magnetic monopoles by
engineering an environment that mimics a monopole’s magnetic field in a cloud of rubidium atoms.
In 1931, the English theoretical physicist Prof Paul Dirac predicted that the north and south poles of a
magnet could exist independently and behave like electric charges.
Despite experimental searches since then no observation of a naturally-occurring magnetic monopole – a
magnetic particle possessing only a single, isolated pole – has yet been confirmed.
In 2009, Finnish researchers published theoretical results demonstrating a method to create Dirac
monopoles in a Bose–Einstein condensate, an extremely cold atomic gas tens of billionths of a degree
warmer than absolute zero.
The idea involves using external magnetic fields to rotate the atomic spins. A Dirac monopole forms in the
condensate because of the spin rotation.
This method was adopted by a team of physicists, led by Prof David Hall of Amherst College, in creating the
synthetic magnetic monopole.
After resolving many technical challenges, Prof Hall and his colleagues were rewarded with photographs that
confirmed the monopoles’ presence at the ends of tiny quantum whirlpools within the ultracold gas.
“The result proves experimentally that Dirac’s envisioned structures do exist in nature, even if the naturally
occurring magnetic monopoles remain at large,” said Prof Hall, who is the senior author of a paper published
in the journal Nature.
“The creation of synthetic electric and magnetic fields is a new and rapidly expanding branch of physics that
may lead to the development and understanding of entirely new materials, such as higher-temperature
superconductors for the lossless transmission of electricity.”
The discovery provides a stronger foundation for current searches for magnetic monopoles that have even
involved the famous Large Hadron Collider at CERN.
“Our achievement opens up amazing avenues for quantum research. In the future, we want to get even a
more complete correspondence with the natural magnetic monopole,” said co-author Dr Mikko Möttönen of
Aalto University.
In the future, physicists will concentrate on more in-depth research into the structure of a synthetic
magnetic monopole. They are also interested in the dynamics of monopoles and their interactions with
other synthetic particles
One interesting idea involves trying to create a monopole that is not bound to a whirlpool in the same way
as is the Dirac monopole. This type of structure could possibly describe a natural magnetic monopole in even
more detail. Scientists Create Synthetic Dirac Monopole - Popular Science Part
46
III: The Creation of Dirac’s Quantum Big Bang in Spacetime from Timespace
The origin and nature of the universe has been a question of inquiry since the beginnings of sentient life
forms experiencing themselves in a variety of forms and degrees of being self-aware.
Many cosmological models have and are being constructed from the beginnings of speech and sound and
geometric symbolism to words and written record keeping in parchments, scrolls, paper, manuscripts, and
the digitalization of libraries.
The Big Bang model for the creation of the universe
In the journey through the history of planet earth in time, the models created and composed to explain this
history and the encompassing history of the universe itself, have attained a nexus point of comprehension
and understanding to enable the planetary civilization on earth to collectivize and universally share its
information basis with the overall universe.
A universal civilization potential can then be realized, by substituting an older historical timeframe of
Universal Political Correctness by the ‘Uniphyscon’ or ‘Universal Physicalized Consciousness’ and as a
synonym for a new historical timeframe and timespace as the generator of spacetime.
Timespace differs from spacetime in that time can exist without space as a simple count of mathematical
point singularities or frequency permutation states in the case of particular modular dualities relating the
mathematically abstract inversion properties of numbers to the physicalizations of the frequency states as
inverse time to the period of oscillatory physical systems, such as a world defined in energy and its
mathematical representations modelling the physical reality.
47
The universe was born from a mathematical singularity, known as a quantum fluctuation creating space and
time in a minimized spacetime parameter configuration known as the Quantum Big Bang Singularity or
QBBS. This quantum fluctuation is defined as the energy potential of a Zero-Point Planckian Quantum
Harmonic Oscillator and as a minimum displacement configuration in a QBBS timespace and can also be
termed as the ‘bounce of the Planck length’ as this minimum length any displacement defined in space can
have.
It was this ‘bounce’ of timespace which formed the required original boundary conditions for the universe
to be born in spacetime in the coupling of this ‘instant in timespace’ called an instanton and coupled to an
‘instant in space’ as the inflaton.
The QBBS then defined the concept of multidimensional spacetime in a dual action of a lower dimensional
universe becoming embedded in a higher dimensional universe as effect of the inflaton utilizing the
boundary condition of the instanton to manifest a parallel cosmology in the lower- and higher dimensional
spacetimes.
This minimum spacetime configuration of the instanton-inflaton parameter space coupling is defined as a
parameter space of the QBBS and containing other mathematical abstract point spaces such as symbolic
representations known as fundamental constants and elementary mathematical relationships between
numbers and equations of different degrees of interwovenness and complexity.
All entities in the QBBS parameter space shared a common origin in the abstraction of an encompassing data
collective, which can be called the plenum or world of Information-Energy.
This world existing before the QBBS, so defines a notime in nowhere, where the concept of order precedes
the concept of time in its independence of duration or time intervals; but where event B cannot occur before
event A has occurred and independent from how far apart events A and B would be in an existing spacetime.
As time and space became manifest with the universe in the QBBS, the abstract entities emerging from it did
not exist in the form of the QBBS parameter spacetime, but in the QBBS timespace.
This QBBS parameter timespace can be described as a prior realm of abstract mathematical definition and
algorithmic identities and as a mirror universe awaiting its own metaphysical creation and manifestation
through the emergence of particular data collectors and information gatherers within a then existing
spacetime. The universal data collectors would evolvingly become self-aware in universal physicalized
consciousness to utilize the abstract entities from the plenum of the information world to connect the
spacetimed universe with the time spaced mirror universe.
As the mirror of the timespace was also a mirror of the spacetime, it could and would image all particulars
of the physical universe in global and local parameters into Khaibit, the shadow of the physical universe as
the mirror universe of the QBBS parameter spacetime.
This scenario required a medium of super-universal communication to connect the physical universe with
Khaibit as its metaphysical shadow and mirror universe.
The medium for the super-universal communication took the form of quantum entangled universal
physicalized consciousness and where this ‘QE of the Uniphyscon’ enabled the two worlds to blend and
merge from the platform of an old timespace configuration into a form of a new spacetime configuration.
The difference between the old form and the new form is that the old form began in time to create space
and that the new form will be able to start from the space to create time.
48
The implication is that the old spacetime could not manipulate the interdependency of space and time, such
as the initial boundary conditions defined in the QBBS, including the invariance of the ‘speed of light c’ as a
limit for velocity and the acceleration of any material object could achieve.
This dependency found in the natural laws was a consequence of the spacetime matrix beginning with time
as the first and generating dimension and not with space as the generator dimension. In the old world the
time dimension generated three expanding space dimensions with an additional six twistor space
dimensions, strongly associated with the first-time dimension for a 10-dimensional string spacetime.
The twistor dimensions are different from the expanding time dimensions in that the twistor dimensions
remain independent from space, except for their minimum spacetime configuration of forming little curls or
circles around the time dimension.
In the new world, the first-time dimension will exchange with the 10th string dimension to change the old
starting 1st time dimension into the 1st space dimension and opening up the 4th, previously curled up string
dimension as a new space dimension.
This will transform the old universe of 4-dimensional flat Minkowski spacetime into a new universe, defined
physically as a 5-dimensional flat Kaluza-Klein hyper-spacetime.
In the old world, the fourth expanding time dimension formed the boundary for an expanding universe, but
in the new world, the 10th dimension will be the endpoint time dimension as a new boundary for the
universe and connecting a new mirror of the 11th dimension to the mirror universe Khaibit as the inside of
the boundary of the 10th dimension.
The outside of the Witten membrane spacetime mirror will be the inside of Khaibit as a 12 th dimensional
Vafa spacetime forming a spacetime perfect image of the inside of the 10-dimensional spacetime of the
universe. The timespace of the QBBS generator will so become equivalent to the spacetime of the QBBS
evolutionary path in the form of information exchange across the boundary of the Witten membrane mirror
of the 11th dimension.
The end result will be a holographic multiverse in 12 dimensions and where the 11-dimensional membrane
mirror will become the universal data collector as a root-reduced two-dimensional and two-sided Klein
bottle manifold, yet one-sided as a Möbian connector having effectively doubled the old spacetime universe
in 10 dimensions of the 4-dimensional hyperspace with a 6-dimensional twistor space and the 11th
dimension as the new shared time dimension between Klein as Möbius and Khaibit.
The two sidedness of Klein so is defined in the new time dimension as a 10-dimensional string space of 4
hyperspace dimensions with 6 quantum space dimensions to bridge the difference to the 11-dimensional
membrane space as the 10th spacetime dimension connecting as a brane space to the 11th spacetime
dimension to generate the 12th spacetime dimension as a superbrane volumar spacetime , so creating the
shadow universe through the mathematical topology and definition of the Klein Bottle manifold of being
one-sided but self-intersecting itself in the 11-dimensional Witten surface.
49
This Witten Mother-Magic-Membrane-Mirror as the 11th dimension and connector of the two universes will
encompass the hyper-spacetime of Kaluza-Klein as four space dimensions with one time dimension,
embedding five dimensions within eleven dimensions and displacing the six twistor dimensions as three
rotation dimensions in rotation space and with three vibration- or frequency dimensions in quantum space.
The boundary of the hyper-spacetime will be a 3-dimensional surface or volumar, embedded within a 4dimensional volumar, defined in the geometry and topology of hyperspace as V4=½2R4 and
dV4/dR=(2R)(R2)=22R3 and so the volume of a Horn torus in 3 dimensions, also known as a Riemann
sphere with radius Rtorus.
In geometric terms, this indicates that a 3-dimensional sphere as the size and volume of the universe with
radius R3 is equal in volume to a Horn torus with radius.
Rtorus= ∛{2/3}R3 and so the radius of the Horn torus is reduced by a factor of 1.6765… from the radius R3 of
the sphere in three dimensions.
Doubling the radius of the Horn torus as the radius for the encompassing sphere as R 3=2Rtorus so shows that 8
spheres of radius Rtorus fit precisely into an encompassing sphere with radius 2R torus.
But considering the volume of the universe as a 3-dimensional boundary with V3=dV4/dR=22R43 to embed a
3-dimensional volume V2=(4/3)R23 with its boundary as surface area dV2/dR=4R22 then defines a boundary
condition of R4 ≥∛{2/3}R2 , showing that in an expanding and time evolving universe; the 3-dimensional
torus volumar will attain its critical nexus of changing from its 3-dimensional volumar status into a 3dimensional surface membrane status at a time given by the boundary condition.
This time marker has been calculated as occurring 994.78 million years ago; correlating with a time upon
planet Earth, when the first multicellular lifeforms emerged from their unicellular ancestors. Then the
topological geometry of the universe changed from a single positive de Sitter curvature into a combination
of its positive spheroidal de Sitter curvature with a negative hyperbolic Anti de Sitter curvature in 4dimensional spacetime, cancelling the positive curvature to manifest a perfectly flat universe with zero
curvature.
This can be visualized at the center of the Horn torus, where the tangential curvature of the torus radii
meets in the horizontal plane to create the concave topology of a wormhole or an Einstein-Rosen bridge
with the surface of the torus radii curving away from the center and for the emergence of geometric circular
cross sections as the northern top and the southern bottom of the Horn torus.
But at the north pole and south poles of the vertical plane connecting the two hemispheres of the prior
encompassing 3-dimensional spherical volumar, the curvature is convex, cancelling the concave curvature
intrinsic for the cosmological evolution of the universe to all of the time prior to the critical curvature time
marker and as measured and observed by any observer within the expanding universe.
50
This prior realm or world is described as the outside boundary of the manifested singularity of the QBBS,
with the inside boundary defining the physical universe as the fifth of five abstract mathematical
singularities and as a one-dimensional entity in transforming its nature as a mathematical point into that of a
mathematical line known as a Dirac string.
A Dirac string so allows the mathematical abstraction of the point space to transform into a point line
requiring space to extend into as itself and as a Y direction in some coordinate system.
The minimum parameter spacetime so enables a second dimension to emerge from the Dirac string, as the
1st dimension of a minimized line segment of wavelength weyl curls itself around the mathematical point
space it used to occupy as a segment of the Dirac string.
This process changes the first dimension of the Dirac string from a time dimension into a 1 st space dimension
as the now space limited summation of mathematical line segments and redefines the newly created space
dimension of the XY-plane as a quasi-time dimension.
51
The entire Dirac string so transforms itself as a mathematical point without extent into a mathematical line
of any number of such point spaces to create the Dirac string extending in two polar directions from the
mathematical singularity of the QBBS.
As there is no limit of how many mathematical points can exist in the Information-Energy prior spacetime
plenum, the Dirac string is initially infinite as a consequence of no spacetime existing at the point of creation
known as the first instant of time or the Instanton.
As the individual point spaces integrate as a sum of such point spaces however, each individual point
preserved its individual universal identity in circularizing its point space into a membrane- or string space in
the XY-plane.
The Weyl wavelength weyl so became redefined from its circular form as the perimeter of a point circle as
the displacement of the circumference from the center of the point circle as its wormhole radius.
With the creation of a 2nd area or surface dimension from the point circle count from the mathematical point
count, two orthogonal directions emerged from the potential infinite Dirac string, which became upper and
lower bounded in changing the expansion from the lower bounded origin to the universal north as selfrelative positive upper bound in a direction from the origin towards the self-relative positive east with a
simultaneous creation of the self-relative negative west direction in the transformation of the expansion
towards the self-relative south as the mirror of the positive and negative polarities of the upper bound in the
origin.
This creation of the second dimension so formed a limit for the mathematical point spaces extending in
space and in time into two opposite directions.
The potential infinite line space became halted in the QBBS defining the two endpoints as two Weylian
wormholes defined in the Guth-de Broglie Inflaton and mirrored at the origin as two polar opposites but
identical minimum timespace configurations.
The northern positively charged wormhole so observes the self-relative anticlockwise rotation as effect of
the righthanded torque of the Dirac string projecting orthogonally from the newly created XY-plane into the
XZ-plane of a so created third dimension and with the torque angular displacement defining a new
positively charged part of the northern hemisphere as pointing into the positive Z-axis direction or ‘out’
from the XY-plane.
The southern negatively charged wormhole in the southern hemisphere corollary projects the torque in the
negatively charged XY-plane in a clockwise rotation ‘into’ the XY-plane of the third dimension to complete
the 8 sectors of the geometrically defined encompassing 3-dimensional sphere with radius twice the torus
radius.
The four torus radii so define the radius of the sphere in meeting at the QBBS singularity physically defined
as the Dirac magnetic monopole. The second quasi-time dimension so becomes a real space dimension, and
the newly created 3rd dimension takes its place as a quasi-time dimension acting on the XY-plane as a
flatland of membrane spacetime.
52
The Dirac Magnetic Monopole and the Instanton-Inflaton Quantum Entanglement
of Wormholes
The Dirac monopole is defined only at the singularity as the QBBS but is connected via the Dirac string in an
arbitrary gauge space, defining potential energy in any place of the universe defined in a three-dimensional
parameter space, subject to the initial boundary conditions derived from the timespace of the higher
dimensional plenum of nowhere in notime.
It so is the Dirac string, which allows the point potentials to transform into string potentials in the rotation
space around the Dirac string transforming individual point potentials into the Weylian wormhole potentials
and integrating and summing subsequently about the three orthogonal space directions of the X-Y-Z plane
intersection. The magnetic monopole singularity of the QBBS so is defined as the Weylian wormhole of
creation and the initial boundary condition for this minimum spacetime configuration becomes a conformal
mapping of the Planckian wormhole from the timespace of the information plenum of algorithmic and
mathematical definitions.
The northern- and southern parts of the Dirac string were defined as infinite, before becoming bounded in
the creation of the second dimension followed by the emergence of the 3rd dimension and the Weyl string in
2 space dimensions with a quasi-spacetime dimension, able to potentialize the timespace parameter
definitions to create a 3-dimensional space with a 4th spacetime dimension.
The QBBS parameter spacetime definitions of the boundary conditions for the inflaton now fully integrate a
fourth real time dimension and manifest the Weylian wormhole volumar as a Black Hole defined by the
instanton.
The nature of the inflaton so is to free the third quasi-spacetime dimension from its original definition of
being potentially infinite in extent but existing in a space less gauge free parameter realm of pure real time
without one-dimensional space defining the number count of the timespace in nowhere in notime, or as
existing in a free parameter world of infinite one-dimensional space without time.
Dirac’s Quantization Condition for magnetic charge g as proportional to electric
charge e
The monopole of mass mm and magnetic charge qm circulates at a radius r and velocity v in the electric field
between two capacitor plates in the XY-plane within a constant electric field E=Ez and where z is the unit
vector in the Z direction connecting the two poles.
The Lorentz force qmvB=qmvE/c balanced by the centripetal force mmv2/r then gives, in the classical high
energy limit for v~c
E=mmvc/rqm …………………………….[Eq.II-1]
The energy of the monopole is quantized in the Landau quantization E n=hf(n+½)= (h/2)(n+½) and as a
result of using the Hermitian function n(x) as general form for a probability frequency distribution and used
to derive the form for a classical 1-dimensional harmonic oscillator in the form of a quantum harmonic
oscillator in quantum mechanics.
53
2
The Normal distribution formula has a form (x) = {1/√2𝜋}𝑒 −½𝑥 which is found in the Hermitian function:
The classical form for the harmonic oscillator is given by the Hamiltonian:
ℋ = 𝓅2/2m +½ k𝓍2= 𝓅2/2m + ½m2𝓍2
The kinetic energy p2/2m=m2v2/2m=½mv2 and potential energy ½kx2=½m2x2 from Hooke’s law and the
equation of motion:
F=-kx =md2x/dt2 and a solution x(t)=Acos(t+constant) with dx/dt=-Asin(t+constant) and with
d2x/dt2=-2Acos(t+constant) , defining =√(k/m)=2f=2/T
The energy levels of the classical Hamiltonian then correspond to the eigenvalues of the Hermitian
operator ℋ(Y)=(ih/2)d for the momentum operator 𝓅 = -(ih/2)∂/∂x
The time independent Schrödinger equation ℋ(Y)=(ih/2)d=E() then allows solution for the wave
function x|()=(x) for the eigenvalues of the Hermite function Hn(x)
as Landau poles and with energy levels En quantized in integer n and defining a minimum harmonic quantum
oscillator for n=0 as the Zero-Point Energy of the Planck oscillator
Eo=½(h/2)o=½(h/2)(2fo)=½hfo
The mass of the monopole can be equated with the mass of a particle accelerated in a cyclotron for the high
energy limit.
For a cyclotron frequency =2fc from mv2/r=qBv with v=rqB/m and =v/r=qB/m=qE/mc and E=cB for the
coupling of the electric field with the magnetic field for
= qmE/mmc……………………………...[Eq.II-2]
The quantized kinetic energy for the orbit of the magnetic monopole so is ½m mv2=n.hf for =2f=qmE/mmc
for
½mmv2=n.hf=n.h/2=n.hqmE/2mmc and describing the quantization of angular momentum JZ for the
magnetic monopole about the Dirac string.
JZ = mmvr = 2n.(h/2) ……………….…[Eq.II-3]
54
mmv = 2n.(h/2)/r = Erqm/c by [Eq.II-1] for a quantization condition for the electric field
E=2n.(hc/2)/r2qm……………………….[Eq.II-4]
And without the zero-point dark energy minimum Planck quantum harmonic oscillator, in the Landau poles
En = hf(n+½), which can be said to exist as a precursor of the manifestation of the Quantum Big Bang in a
string-membrane epoch defined from an oscillation of the Planck displacement as the original quantum
fluctuation
Lplanck = e/c2√ = √{hGo/2c3} = {Go/c2}mplanck
This quantum displacement ‘bounce’ of the minimum spacetime configuration initiated the interdependency
of fundamental constants, utilized in the laws of nature in defining the ratio of electrocharge over the
squared speed of light c2 in unitizing two unitary measurement systems; one mass centered in the form of
Planck units suppressing universal charge, both electric and magnetic and the other suppressing universal
mass in the corollary of charge centered Stoney units.
The coupling of those two unitary systems then unifies the finestructures of energy-charge based
electromagnetism with those of an energy-mass based gravitational interaction.
The angular momentum JZ relates to the electric field E in [Eq.II-1] for the mass of the monopole in
Erqm/vc=mm=2n.(h/2)/vr and the positive charge at the north pole and the negative charge on the south
pole, considered to be infinite in extent but intersected by the cylindrical circular flux areas at the two poles
for a total charge density of E.dA=E.2r2= 2Q/o =2er2/o for E=2e/2o = e/o = 2Q/2or2
= Q/or2 for Q=er2 for each capacitor plate
E=2n.(hc/2)/r2qm = e/o = Q/r2o … and charge quantization Q = 2o{n.hc/2}/qm …for
Q=e=N.e………………….………………………….…….…….…[Eq.II-5]
Dirac’s quantization condition follows as qmQ=2o{n.hc/2}={(4ohc)/2e2}{½n.e2}={n.e2/2} for
qm=n.e2/2N.e=n.e/2N for the Magnetic monopole qm =n.e/2N={n/N}{e/2} ……….[Eq.II-6]
Dirac’s quantization condition for the nature of a magnetic monopole being coupled in its magnetic charge
to the electric harge of an electron, so relates Dirac’s constant of [Eq.II-8] in defining.
qm=(Dirac’s Constant)(an expression as a multiple of e/2) and so presenting [Eq.7a] in a form of:
e* = n.e/4 = {n/2}{e/2} = ðdirac {e/2} …….……[Eq.II-7]
and where ðdirac becomes Dirac’s Constant with the modular duality between the quantization of the
classical electron radius Re in the Weyl radius rps in trigonometric and radian pi ( )
in the integer proportionality ratio 360Re/2rps = 360Re/ps =
ðdirac = 8cRee/Goh = 4Re[ec]/Lplanck2c3 = {n/2} ↔ {n/360} = 4.54214x1019 [C/m3s-2]*…[Eq.II-8]
for n = 8cRee/Goh = 8c{1010ps}e/180Goh ↔ 8c{1010ps}e/Goh = (240c2)(15x1020)e = 36x1022ec2
n = 324x1038 e for n(2/360) = (3.24x10)(e/360) = ðdirac
from the algorithmic integer definition for fundamental constants c2, h and |k=1/Go=1/4o=30c|mod
55
The derivation of Dirac’s constant indicates the symmetry in Maxwell’s equations in a form of rendering the
point charge magnetic monopole of Paul Dirac as equivalent to the ‘t Hooft-Polyakov magnetic monopole of
a Grand Unification energy spectrum, bounded in a finestructure unification condition relating the
gravitational interaction to the electromagnetic interaction and so allowing the point charge electron of QFT
and QED to reclaim its classical definition in the parameters of the electromagnetic fine structure alpha
=2kee2/hc=e2/2ohc=ce2/2h=60e2/h via the electron’s total energy given by
mec2=kee2/Re for the classical electron radius as a function of its mass m e for
Re=kee2/mec2=2kehe2/2hc2me=h/2cme={h/2cme}
=Rcompton=2{h2/42kemee2}=2RBohr1 =2{ZRn/n2}=2{Z/RRydbergn2} and where RRydberg
defines the quantized electron energy levels in the wavelength.
1/e=RRydberg{1/n2 – 1/(n+1)2} in the Bohr atom for quantized angular momentum nh/2=mevR for
v=nh/2meR or total energy KE+PE={-½PE+PE}=½mev2-Zkee2/R=-Zkee2/2R for En=hfn=hc/n
The lower bounded unification monopole describing the Dirac magnetic monopole has a Maxwellian
displacement current along the Dirac string in units of [Am] but manifesting as a mass equivalence
mmonopole=[ec]mod =4.818x10-11 kg* for an energy [ec]modc2=ec3=2.7x1016 GeV*
56
Richard Feynman’s derivation for Dirac’s Quantization Condition for magnetic
charge g as proportional to electric charge e
Richard Feynman’s method to derive Dirac’s quantization condition shows how to embed the Dirac string
into two path integrals in a quantum-mechanical derivation, using two wave functions (x1,t1); (x2,t2),
connecting two points A and B in two path integral summations e[2i/h]S(x1) , e[2i/h]S(x2) for probability
amplitudes P=|K|2 and K= 1.2 = ∫D(x)e[2i/h]S(x) and for classical action S(x)=∫ ℒ (x,dx/dt)dt and Lagrangian ℒ
and where the summation of all paths is symbolized by D(x)
Then K=K1+K2= ∫D(x)e[2i/h]S(x1) + ∫D(x) e[2i/h]S(x2) for the action of a free particle unaffected by the Dirac string
field enclosed by the two path integrals summed over all possible paths, S(0)= ∫KE dt=∫(½mdx/dt) dt
P=|K1+K2|2
Action S(1) however interferes with action S(2) in the external vector potential AL in units of charge density
(q/o=og) in the action S=S(0)+(q/c) ∫ AL .dL The closed path integral so becomes ∮C AL .dl = ∫ A2 .dl - ∫ A1.dL
for path A to B to A changing direction from clockwise to anticlockwise or vice versa.
K = ∫1D(x)e[2i/h](S[0]+[q/c] ∫1A.dL) + ∫2D(x)e[2i/h](S[0]+[q/c] ∫2A.dL) = {K1 + e[2iq/hc] ∮C AL .dl K2} e[2iq/hc] ∫1A.dL)
The interference term of the closed path
e[2iq/hc] ∮C AL .dl for ∮C AL .dl =∯∇xAL dA = ∯Bmonopole .dA + ∯Bstring .dA
Then e[2iq/hc] ∮C AL .dl = e[2iq/hc] ∯Bmonopole.dA e[2iq/hc] ∯Bstring.dA for e[2iq/hc] ∯Bstring.dA =1, as the Dirac string of
dimension 1 is not observable, the vector potential being undefined everywhere except at the singularity
The magnetic flux is however ∯Bstring .dA = oqm=g/o for e2i(qg/hco) = 1 for
4qge2/4ohce2=2.qg/e2=2g/e and g=n.e/2 for q=e and e2i.n=1
Feynman’s path integrals encompass the Dirac string not at the center of the volume harboring the magnetic
monopole singularity.
Placing the singularity at the center and allowing the two parts of the Feynman derivation of the Dirac
quantization condition to be the two hemispheres of a sphere with the magnetic monopole at the center of
the sphere as done by the Wu-Yang configuration allows a cylindrical representation of the topology
applicable to the entire universe.
1810.13403.pdf (arxiv.org)
57
As the Dirac string is one-dimensional without any width, the surface area for the magnetic flux
of 2(2R2) the magnetic monopole for cylinder radius √2R for surface area 4R2 describes the
Dirac monopole as the central singularity and magnetic point charge for the cosmology.
The surface area for the universe is represented by the magnetic flux of the monopole as a onedimensional form of energy manifesting the Quantum Big Bang from the monopolar
singularity, albeit in using a higher dimensional string-membrane epoch characterized by the
definition of a minimum spacetime configuration as a quantum fluctuation of the Planck length
by the zero point quantum harmonic oscillator, defined as the Weyl-Eps quantum of creation
as the inverse of the magneto charge e* in units of the gravitational parameter GM, defining a
new charge unit of the star coulomb as the physicalisation of consciousness as a quantum
angular acceleration acting on any spacetime volumar.
Quantum Field Theory (QFT) and Quantum Electrodynamics (QED) become enabled to
replace the point charge electron with the point charge of the Dirac-'t Hooft-Polyakov magnetic
monopole, so allowing the classical electron radius Re to enter the physical descriptions in the
quantum field theories.
58
59
Dirac’s string modeled as spanning the universe for a singular magnetic monopole
at the center of the earth
Dirac’s monopole can then be defined as a singularity monopole of magnetopole charge e*=Qm, connecting
the two opposite sides of the universe in the Hubble horizon R H=c/Ho in the Dirac string. The spacetime
observer relative universal north pole so is given as the positive charge distribution placed onto the northern
hemisphere of the universe in a 3-dimensional surface derivative dV4/dR=(2RH)(RH2)=22RH3 from the 4dimensional hypersphere V4(R)=½2R4.
The southern hemisphere then becomes the negative charge distribution as a 3-dimensional volumar
connecting the Dirac string from its south pole to the north pole. The two infinite capacitor plate surfaces so
are given in the higher dimensional string-membrane space which so effectively ‘cube’ the volume of the 3dimensional sphere embedded in a 4-dimensional hyperspace as a 3-dimensional surface or membrane
space.
The Dirac string starts from, and terminates on, a magnetic monopole. Thus, assuming the absence of an
infinite-range scattering effect by this arbitrary choice of singularity, the requirement of single-valued wave
functions (as above) necessitates charge-quantization.
That is, 4.2qeqm/4ohc=8qeqm{}/{2e2}=4e*/e must be an integer n for any (dipolar) electric charge qe
and magnetic charge qm.
e* = n.e/4 = {n/2}{e/2} = ðdirac{e/2} and where ðdirac becomes Dirac’s Constant
The Dirac Constant for the Universal Cosmology and with n=324x1038 e = 5.204918555x1021
ðdirac = 8cRee/Goh = 4Re[ec]/Lplanck2c3 = ne/360 = 4.54214x1019 [C/m3s-2]*…...….[Eq.II-8]
in units of the star coulomb defining the magneto charge e* in a universal unit calibration
[C*]=[C2/C*]=[C2s2/m3] and where the mensuration units for the gravitational parameter
[GM]=[Nm2kg/kg2]=[m3/s2]=[C*] as the units for universally defined physicalized consciousness as an angular
quantum acceleration (df/dt) acting on any spacetime volumar of units [m 3] as the effect of the Dirac string
manifesting at the observer relative center of the universe and as given in the location of the Dirac magnetic
monopole at this center as a definition of the Quantum Big Bang Singularity (QBBS).
The derivations consider the magnetic permeability constant of ‘free space’ μ o=4πx10-6 H/m as a universal
constant related to the impedance of ‘free space’
Zo2=|E/H|2=|μoE/B|2=|μocB/B|2=μo/eo={120π/c}/{1/120πc}={120π}2 and so describe a finestructure for
Maxwell’s constant εoμo=1/c2 [m/s]2* for the units of universal resistance in a calibrated mensuration system
requiring the speed of light ‘c’ in units of [m/s] SI to transform into units of [m/s]*. The units for the
impedance Zo so become measured in √([H/m]/[F/m])*=√([Js2/C2m][Jm/C2])*=[V/I]*=[Js/C2]*=[Ω]* and are
observed in the physics of superconductivity in the form of the Quantum Hall effect n.h/e2 , the conductance
quantum 2e2/h and Josephson frequencies f=n.E/h.
The ‘free impedance’ however relates to a deeper nature found in superconductive phenomena in that a
dimensionless or modular resistance implies a natural law in the form of Action=Charge Squared as
{h=ee=ee*=e*e*}.
60
The Action Law is therefore descriptive for the relationship between electric charges of electropoles and
magnetic charges of magnetopoles.
Electric flux e = qe/o = reV/o = Qe/o
Magnetic flux m = qm(oc) = rmV(oc) = (oc)Qm
Electric flux e = ∇.E = [J/Cm2] = {qe}[Jm/C2m3]={e}[C2/Jm] = e/o for the electric charge density per unit
volume
Magnetic flux m = ∇.B = {1/c}∇.E = [Js/Cm3]= {qm}[Js/C2m] = om for the magnetic charge density per
unit area
The magnetic charge density for the Dirac monopole is m = e*f as a source energy monopolar current
imonopolar per unit area as the Maxwell displacement current per unit area
oe*f/Aps=(df/dt)/e*ec3 and f*= c/*=Aps (dt/df)/oe*2ec3
The magnetic flux for the Dirac monopole is:
m = om = mps/[ec]mod = mpsc2/[ec]mod c2 = Eps/[ec3]mod
= [J/Am3]/{df/dt} = [J/Am3]/{dfps/dtps}= [J/Am3]
by modular string-membrane mirror duality E ps=hfps=h/fss and Eps/Ess=fps2=1/fss2 with ps.fps=c=1/ssfss
The Maxwell displacement current for the Dirac magnetic monopole as the QBBS singularity manifests as the
‘t Hooft-Polyakov ‘hedgehog’ magnetic monopole in GUT unification as the minimum monopolar mass of
[ec]mod =4.819369011x10-11 kg* and energy [ec]mod c2 = 4.33743211x106 J* as precisely 2.7x1016 GeV*.
The upper bound for the ‘t Hooft-Polyakov monopole is 30[ec]mod=1.301229633x108 J* or 8.1x1017 GeV* with
the two bounds related to the gravitational parameter GM partial to the measurements of Newton's
gravitational constant G and the energy of the t'Hooft-Polyakov magnetic monopoles of 'Grand-Unification'
or GUT energy regimes.
61
The magnetic flux of the Dirac monopole becomes a mass ratio per unit area expressed as source energy per
monopolar unification energy per unit area A with wormhole unit area.
Aps=62rps2=3ps2/2=1.5x10-44 [m2]*
m = om = oe*f = mps/[ec]mod = mpsc2/[ec]mod c2 = Eps/[ec3]mod = 1/e*ec3 =4.611023179x10-10
oe*f/Aps=(df/dt)|1/e*ec3 and f*= c/*= (df/dt)|1/oe*2ec3 = 3ps2(df/dt)|1/2oe*2ec3
= 3h2(df/dt)|1/2o[ec] = 7.338671173x10-7 Hz* per unit wormhole surface area, time
t*=1,362,644.512 s* and *=c/f*=4.087933536x1014 m* for radius R*=*/2=R(n*=Hot*’
=4.072259032x10-13)=6.506148293x1013 m* for a time
t*’=216,871.61 s* or 2.5101 days into the expansion and thermodynamic evolution of the universe with a
coordinate 928,452.09 seconds before the E-googol marker for the classical electron radius Re modulation.
As the E-googol defines RE(n)= 3.43597108x1014 m* for a time
tE=nE/Ho=2.1506x10-12/Ho=1,145,323.7 s* or 13.25606 days
Re/RE=r*/R* for r*=R*Re/RE
= (6.506148293x1013)(2.777777x10-15)/ (3.43597108x1014)=5.25983302x10-16 m*.
This displacement radius defines an effective electron mass via the Compton constant as
me=h/2cr*=4.906433293x10-30 kg* and reducing to a maximum mass at the QBBS instanton boundary as
meeff=mps=h/2crps=2.222x10-20 kg*
The Dirac constant calculates as:
ðdirac =2e*/e = 2/eEps=4emplanck√/emelectron
=4√{(hc/2Go)(2kee2/hc)}/{kee2/Rec2}=4√{kee2/Go}{2Rec2/hc}
= 8Re[ec]/Goh [C/m3s-2]*
for fine structure unification Go=4o for √{kee2/Go}=e/Go
The inflaton so draws the data from the information space to manifest the number count for the inflaton
from the algorithmic definition of the Mathimatia, which is a label for the collected library in the timespace
prior to the QBBS.
This number count would count the number of spacetime quanta the inflaton would encompass as a 3dimensional surface bounding the 10-dimensional string space as the boundary of a Riemann sphere in de
Sitter spacetime embedding the Anti de Sitter spacetime in the cancelling of the topological curvatures.
The number of space quanta for the inflaton to use is a googolplex of a number of googols, meaning number
counts exceeding one hundred digital places.
62
The four googols and 8 data strings generated by particular algorithms and number sequences in the
Mathimatia were:
E=26x6561=1.006208782x10112 as data string E*={266561] generating data string F*={136656} from
programming code: {Add the End to the Beginning and Start the New Beginning with the Old Beginning}=Line
A-Repeat
F=13x6656=1.019538764x10103 as data string F*={136656} and generating data string G*={673665} from
programming code: {Add the End to the Beginning and Start the New Beginning with the Old Beginning}=Line
A-Repeat
G=67x3665=9.676924497x10102 as data string G*={673665} and generating data string
H*={5[5+6=11]7366}≠H* from the programming command: {If Sum is reductive}=Line B-End-Line C-Reverse
Line A-Repeat
H=Undefined, because 5+6=11=2 is root reductive in the number 11 the first initializing Maria Number in the
Maria matrix for the numerical archetypes in time connector dimensions 1, 4 and 7 [Footnote1]
D=46x5612=4.375363663x1022 as data string D*={465612} from data string E*={266561} from programming
code: {If Line A} Repeat
C=25x6124=1.761392119x1044 as data string C*={256124} from data string D*={465612} from programming
code: {If Line A} Repeat
B=36x1242=7.619295808x1046 as data string B*={361242} from data string C*={256124} from programming
code: {If Line A} Repeat
A=31x2423=1.722742045x1033 as data string A*={312423} from data string B*={361242} from programming
code: {If Line A} Repeat
Z=Undefined, because no process of 3[3+U=1]2423 can yield 312423 from data string U24233 with U=-2=-11
for mirror root reduction in the Maria code and programming command:
{If Sum is reductive}=Line D-Define H
H=ABCD=(31x36x25x46)x(2423x1242x6124x5612)=(1,283,400)x(7.882123905x101141)
=1.011591782x10147 from programming code:{if Line D}-End-Define H=ABCD-EndThe end of the googolplex algorithm, self-limited in the Maria matrix and the SEps algorithm limiting the
universe defined from Khaibit and the timespace of a Planck-Stoney membrane timespace epoch
immediately adjacent to the QBBS in the timespace-spacetime boundary of the Dirac string and the
magnetic Dirac monopole so defines four spacetime markers E with F and G to be encompassed by the
inflaton boundary H defined as a summation of wormhole quanta comprising the Riemann sphere as a 3dimensional surface of volume dV4/dR=(2R)(R2)=22R3 and for a specific redefinition for the radius of the
Riemann sphere as the Hubble event horizon RH=c/Ho.
63
[Footnote 1:]
The Maria Code in the Riemann analysis specifies the partitioning of the decimal monad:
{1;2;3;4;5;6;7;8;9;10} around the primary Maria number and SEps-Constant “11” for a prime number
algorithm +1+11+10+11+ as 33-tiered segments, transforming the wave mechanics of the SEps number
sequence into the 64-codex of a DNA/RNA genomatrix for its potential quadrupling as a 256-codex
incorporative of dormant intron/intein coding.
The Maria Code is defined in the distribution of Maria numbers M p+99=Mp+12 for n=½{√(264k+1) – 1} by the
quadratic n2+n-66k=0.
Maria numbers are those integer counters, which contain all previously counted integers as mod|33|.
The first Maria number so is 1+2+3+4+5+6+7+8+9+10+11=66=2x33 for Maria#1=11 for k=2.
Archetypes 2+3+5+6+8+9=33 so define 6 of the 11 dimensions in the defined omni space for archetypes
1+4+7=12 completing the remaining 4-time connector dimensions in mirroring the limiting and boundary
12th dimension of Vafa omni space in the 10th omni space dimension across the11-dimensional WittenMirror as the Maria-Mirror or Maria membrane connecting higher dimensional omni-spacetime to lower
dimensional quantum-spacetime.
A repeating Maria matrix is symbolized in this table with symbols =54=Love and =45=Use
…Archetype 2
11
65
110
164
209
263
…Archetype 3
21
66
120
165
219
264
…Archetype 5
32
77
131
176
230
275
…Archetype 6
33
87
132
186
231
285
…Archetype 8
44
98
143
197
242
296
…Archetype 9
54
99
153
198
252
297
…Archetype 2*
65
110
164
209
263
308
[End of Footnote 1:]
The Hubble radius RH is defined from first principles as the light path of the higher 11-dimensional
monopolar light emitted in the QBBS as a monopolar electromagnetic radiation wave, travelling invariantly
with lightspeed c in two parallel cosmologies.
The first cosmology in a lower dimensional universe is described by a Black Body Planckian Radiator
modeled on a thermodynamic cosmological evolution in the hyperbolic negatively curved Anti de Sitter
spacetime however enveloped by a de Sitter universe of positive curvature , thereby cancelling the
curvatures to result in a flat Minkowski spacetime in 4-dimensional spacetime.
This Temperature dependent universe experiences its spacetime evolution in the energy interactions of the
QBBS parameter space and engage a gravitational deceleration, which asymptotically will approach but
never reach the asymptotic boundary as set by the inflaton.
This becomes a consequence of the higher dimensional universe; whose definitive parameter is the light
path of the monopolar light and a light path not restricted by the matter content and the gravitational
parameters in their lower dimensional form.
64
The QBBS parameter space allows a parallel evolutionary of the gravitational parameter GM in the
unification of the electromagnetic and gravitational parameters applicable to the both of the parallel
cosmologies through the definition of the ‘QE UniPhysCon’ as a physicalized universal consciousness defined
in the nature of the Dirac monopole and its extension in the t’ Hooft-Polyakov monopole of energy
unification.
The ‘Quantum Entangled’ UniPhysCon then is defined by the gravitational parameter GM in the lower
dimensional universe, but in the higher dimensional universe the definition of GM translates into the form of
any spacetime volumar being acted upon by a radius independent quantum acceleration or a frequency
differential over time subject to the modular duality defined in the timespace of the string-membranevolumars in modular dualities of inversion and mirror properties of the parameters.
The motive and ‘prime directive’ for the QE UniPhysCon so is to transform gravitational potential energy in
the form of the GM parameter and the matter content in the universe into physicalized universal
consciousness quanta as the source energy quanta defined in the original Weylian wormhole as the effect of
the nature of the Dirac monopole changing its status as a undefined source of magnetopolar charge into a
defined source of electropolar charge, proportional to the nature of a magnetic charge, however able to
manifest as magnetopolar charge as the inverse of the Weyl energy as the original source quantum of the
QBBS.
An overarching reason and purpose for the existence of the universe as a multiverse within an omniverse
from first principles is found in the nature of the universe as a holographic universe requiring a doubling of
the physicalized universe from spacetime into timespace to satisfy the initial boundary conditions of the
described omni spacetime of the 10-11-12 dimensional cosmology.
The 11-dimensional light path so defines the guiding evolutionary parameter for the thermodynamic
expansion of the universe in the invariance of lightspeed c moving further away from the asymptotic
gravitationally decelerating universe.
But there will be a time marker for the EMMR, as the Electro-Magnetic Monopolar Radiation meets the
inflationary boundary at the intersection of the 10th string dimension with the 11th dimension of the Witten
mirror in omni space.
This time marker has been calculated as the inverse of H o=c/RH and where Ho defines a nodal Hubble
constant varying in time relative to a cycle time coordinate given in n=Hot or dn/dt=Ho.
This nodal Hubble constant represents the upper time boundary as the mirror of the wormhole Weyl
frequency fweyl=Eweyl/h as the source energy quantum of the QBBS.
The inflaton defined the size of the 11-dimensional universe in the nodal Hubble bound as the number of
space quanta contained in the Riemann toroidal surface VH=22R3 and as H is known from the googolplex
algorithm obtained from the Mathimatia of the time space plenum
VH = 2π2R3 = H.2π2(rweyl)3 = H(2π2)(λweyl/2π)3 for
RH = ∛(H)(λweyl/2π) = 1.003849093x1049(10-22/2π) = 1.597675453x1026 m*
or 16.87610655 Billion lightyears for the Weyl wormhole perimeter of the QBBS
weyl = 2rweyl = 10-22 m*
65
This then also defines the nodal Hubble constant H o as the upper boundary of the inflaton hyperspace as
Ho=c/RH=1.877728042x10-18 [Hz or 1/s]*
The inflaton wave matter speed is then the tachyon speed as the Guth-Weyl inflaton for inflaton velocity
vdB=RHfweyl=4.79302635…x1056 [m/s]*
And the inflaton hyper-acceleration at instanton time as the Guth-Inflaton wave speed phase acceleration
adB=RHfweyl2=1.437907905…x1087 [m/s2]*
The inflaton then connects the birth of the universe at the instanton with the death of the universe as a
rebirth in the ending of a first semi-cycle at the Hubble node as the size of the universe defined by the
instanton-inflaton coupling.
This becomes the effect of the two wormhole images projected by the Hubble Horizon and its image in the
shadow-mirror universe Khaibit back to the new created singularity of the QBBS, albeit now having a physical
nature replacing the purely mathematical singularity of the mathematical point singularity of the Dirac
magnetic monopole.
The inflaton mapped the Weylian wormhole onto a new north pole at the inside of the Witten membrane of
the 11th dimension and this creation of space naturally became mirrored in creating the shadow-mirror
space for Khaibit and a new south pole now no longer trapped in the infinity potential of the Dirac string but
finitized in the existence of a physical universe expanding in a lower dimension under gravitational
retardation and the laws of nature and oscillating with invariant lightspeed in a higher dimensional
cosmology.
The 10-dimensional universe embedded itself in a multiverse of 3 spacial dimensions given by the Riemann
manifold, with a time dimension conformally projecting the time connector dimensions 4, 7 and 10 to the
11th dimension of the Witten-Maria mirror across line spacetime as the 4th dimension with the 7th dimension
of twistor spacetime and the 10th dimension of the quantum spacetime.
The connection between the 10th dimension of string spacetime in the quantum universe as a Dirichlet brane
so forms the mirror image for the original 1st time dimension in line spacetime changing into a 1st space
dimension with a quasi-spacetime in flatland for the second dimension assuming a time like nature to mirror
the lower dimensional flatland in a higher dimensional flatland in a 11D-9D =2D dimensional root reduction.
The south pole in Khaibit so is also the south pole of the universe for a total extent of the inflaton as twice
the Hubble event horizon and as three new singularities, each one separated from the adjacent one by one
Hubble radius RH.
This now renders the midpoint in the expansion of the universe at a radial displacement of ½RH as a rather
special displacement coordinate, as at this point a new center for the universe must be defined to allow the
Weyl wormhole of the QBBS to function as the south pole for the north pole at the intersection of the
boundary of the Riemann universe with the Witten mirror.
The Riemann universe as a 3-dimensional surface volumar embedding a 7-dimensional twistor spacetime is
also named as Baab or Gate or Mother Black Hole to distinguish it from an ordinary 3-dimensional volumar
within a 4-dimensional spacetime volumar.
66
IV: The Dark Energy coupled to the Light Energy of a Shadow-Mirror Universe
This midpoint will be imaged in Khaibit and allow the manifestation of Dark Energy from the mirror universe
to affect and participate in the cosmological evolution of the physical universe.
The displacement of the QBBS from a coordinate ½RH=function(n) must so define a scale factor for the
expansion of the universe in the collinear two directions from the QBBS coordinate to the south pole in
Khaibit and the north pole in Baab separated by precisely 4 Hubble radii, which geometrically become the
total size of the 3-dimensional Riemann surface-volumar.
The timeless shadow universe in three imaged spacial dimensions so is defined as a projection of its
information onto the surface boundary of a 3-dimensional surface as the Riemann volumar in time as the 4dimensional spacetime of Minkowski, Riemann and Einstein and becomes the holographic universe of ‘t
Hooft, Bekenstein, Thorn, Bousso, Maldacena and Susskind.
67
68
69
70
71
The Dark Energy equation for the Inflaton was defined as a multiversal summation of the protoverse
encompassed by the omniverse in the Mathimatia:
Dark Energy DE-Quintessence Λk Parameters:
A general dark energy equation for the kth universe (k=0,1,2,3,...) in terms of the parametrized Milgröm
acceleration A(n); comoving recession speed V(n) and scale factored curvature radius R(n):
Λk (n) = GoMo/Rk(n)2 - 2cHo(Πnk)2/{n - ΣΠnk-1 + Πnk)3}
for negative Pressure P(n=Hot) = c2Ho2(2n+1)/{4GoT(n)2} - Moc2/R(n)3 for the spherical VdS = 4R(n)3/3
and P(n=Hot) = c2Ho2(2n+1)/{62GoT(n)2} - Moc2/R(n)3 for the hyper-spherical VdS = 22R(n)3
Λk = {GoMo(n-ΣΠnk-1+Πnk)2/{(Πnk)2.RH2(n-ΣΠnk-1)2} - 2cHo(Πnk)2/{n-ΣΠnk-1+Πnk)3}
Λo = GoMo(n+1)2/RH2(n)2 - 2cHo/(n+1)3
Λ1 = GoMo(n-1+n1)2/n12RH2(n-1)2 - 2cHon12/(n-1+n1)3
Λ2 = GoMo(n-1-n1+n1n2)2/n12n22RH2(n-1-n1)2 - 2cHon12n22/(n-1-n1+n1n2)3
.....
For the protoverse k=0 then, Λo = GoMo(n+1)2/RH2(n)2 - 2cHo/(n+1)3 had been a boundary condition at the
time instanton tps as the quantum of mass mss in fss = mssc2/h = 1/fps = tps.
All mass is quantized in m = ∑mss = Nmss and 1/fss2 = fps2 eigen states in 9x1060 permutations to
mfss2/mss = mEss/msshfps = m.mssc2/mssEps = mc2/mpsc2 = m/mps.
Any mass m is so quantum gravitationally quantized in a mass eigen frequency f ss in the time instanton as
the inverse of the source frequency fps as a distribution of permutational self-states fps2|mod = 9x1060.
The cycle time n=Hot for the nodal Hubble constant Ho = c/RH = dn/dt at the Instanton so had been
nps = Hotps = ctps/RH = c/RHfps = c/VdB = λps/RH = 6.26x10-49 as a proportionality relating the minimum conditions
of the Instanton to the maximum conditions of the Inflaton in the form of wavelength and velocity.
Λo(nps) = GoMo(nps+1)2/RH2(nps)2 - 2cHo/(nps+1)3 calculates as Λo(nps) = {GoMo/RH2}{RHfps/c}2 = GoMo/λps2 for this
Lambda- or Dark Energy acceleration and proportional to the hyper-acceleration of the Inflaton as
Λo(nps)/adB = {GoMo/λps2}/{RHfps2} = {GoMo/λps2}/{2GoMHfps2/c2} = {Mo/2MH} as c=fps.λps as the de Broglie groupwave velocity.
A group velocity for waves is upper limited by light speed 'c'; whilst a phase velocity for waves is lower
limited by 'c' as a superluminal or tachyonic speed for matter waves in
vphase = fλ = {mc2/h}{h/mvgroup} = {c2/vgroup} > c ∀ vgroup < c.
And so half of the Black Hole Mass parameter Ω o=Mo/MH defines the Black Hole mass differential in the
acceleration differential between the Dark Energy DE and the hyper- acceleration AdB of the Inflaton as
Deceleration parameter q o = ½Ωo = GoMoHo/c3 = GoMo/RHc2 = Λo/AdB.
Applying this gradient to the Instanton then reduces the time instantaneity
tps=1/fps=fss in qotps = nps.{GoMo/c3} to create a 'Higgs Potential False Vacuum' or HPFV within the InflatonInstanton epoch of the superstrings.
72
The coordinate ½RH=function(n) for the expansion of the universe in the instanton-inflaton coupling with
scale factor a is R(n) = aRH = RH(n/(n+1) for a scale factor a=(n/(n+1) with dn/dt=Ho and parametrization for
velocity vH(n)
vH(n) = dR(n)/dt = (dR/dn).(dn/dt) = RHHo/(n+1)2 = c/(n+1)2 and a parametrization of acceleration aH(n)
aH(n) = d2R(n)/dt2 = (dvH(n)/dn).(dn/dt) = -2RHHo2/(n+1)3 = -2cHo/(n+1)3
73
Then for n=½, the Hubble radius for the higher dimensional universe will be the invariant light path of the
EMMR, travelling at light speed c for a displacement from the QBBS of as nR H=½RH. and being emitted from
the first wormhole coordinate of the instanton as the inflaton.
The end of the inflation period is however defined in the Weyl wormhole frequency of f weyl=c/weyl=3x1030
[Hz]* for an inverse time tweyl=3.333…x10-31 [s]* defining the time coordinate for the second wormhole at the
Hubble event horizon reflecting or imaging the light path of the inflaton’s EMMR to then meet and intersect
the instanton’s light path at cycle coordinate n=½ tweyl [s]* after the instanton’s light path had reached this n
cycle coordinate.
The lower dimensional light path R(n)=ct=nc/Ho= is equal to the light path of the EMMR so just for a time
tweyl , after which the EMMR light path continues to increase the separation between the two displacements
due to the gravitational retardation of the initial QBBS initial boundary conditions for the energy-mattercharge content of the universe.
For cycle coordinate n=1, the EMMR light path has reached the Hubble node, but the expansion of the lower
dimensional universe under scale factors a=n/(n+1)=1/(1+1)=½ defines the critical halfway point for the
onset of the dark energy from Khaibit and the shadow universe intersecting the light energy of the Riemann
universe Baab.
The size of the universe at cycle coordinate n=1 is R(1)=½R H =7.988377265x1025 [m]* or 8.438053275 Gly for
a ‘civil year’ of 365.2425 mean solar days and 1 Billion lightyears equal to 1 Gly.
The size of the universe at cycle coordinate n=½ is
R(½)=(½.⅔)RH=⅓RH=5.325584843x1025 [m]* or 5.62536885 Gly.
The dark energy so began to interact with the light energy 5.625 billion years after the Quantum Big Bang
Singularity as the QBBS.
The time marker for the EMMR meeting the 11-dimensional boundary so is.
1/Ho = 5.325584843x1017 [s]* or a light path of 16.8761 Billion lightyears for a ‘civil’ year of 365.2425 mean
solar days. When this event occurs, the EMMR will both refract and reflect its light path. The refraction will
define a new 11-dimensional boundary in moving the Witten mirror into a previously undefined part of the
spacetime created by the inflaton-instanton coupling, however defined in the timespace of the monopolar
singularity as the precursor for the QBBS coupled to the Dirac string.
This event will naturally become imaged in the 12-dimensional Vafa omni spacetime of Khaibit as the
shadow-mirror universe and the reflection of the light path of the EMMR will begin a return journey to meet
the asymptotically expanding Anti de Sitter universe in a baryonic dark matter intersection nexus.
74
The nexus point for the evolution of the seedling universe as a protoverse so is defined as the intersection of
the EMMR light path beginning its journey from the wormhole of the instanton and ending it at the location
of the wormhole of the inflaton one half-cycle of period 1/Ho=RHubble/c=16.876 billion lightyears.
At this cycle time coordinate a second universe was born from the instanton in the creation of a multiverse
from the seedling universe.
This second universe is collocal with the protoverse, but its initial boundary parameters are a function of the
seedling parameters depending on a superposed asymptotic cosmology for the protoverse to have
completed its evolution in spacetime in satisfying its boundary conditions set in the generating timespace of
the imaginary space, albeit ordered in principalities of time as events as definitions.
{ https://www.academia.edu/39210286/The_Origins_of_the_Mathimatia_and_Four_Pillars_of_Creation
https://www.academia.edu/39210282/The_Beginning_of_Nowhere_in_Notime
https://www.academia.edu/39210281/The_Beginning_of_Space_in_Time
https://www.academia.edu/39110880/The_Eternal_Void_Exists_as_Unity_Everything_or_All_That_Is }
The evolution of the multiverse, embedded in an omniverse is based on the nature of the QBBS as emerging
from a wormhole singularity, physicalizing the Dirac monopole mathematical and one-dimensional originator
from timespace.
All cosmological black holes are limited in their metric inertia in their Schwarzschild radii.
The entire universe is a 'Black Holed Hierarchy', but there are black holes evolving with the matter content of
the universe as physicalized potentials of the QBBS and there are ‘primordial’ black holes such as the Weyl
wormholes of the instanton-inflaton quantum entanglement.
Primordial black holes are known as 'Boundary' Black Holes’ and those engage in their own black hole
evolution as so called 'Extremal Strominger Branes'.
This allows definition of the Weyl wormhole as a Strominger boundary wormhole brane of the instanton and
the QBBS and of a mass of mweyl={weylc2/4G} = 6445.7753 kg*.
The QBBS of the creation of spacetime so was seeded by the weight of about one large or two elephants in
the gravitational field of the earth as about 6.5 metric tons. Strominger extremal black holes are massless in
the sense that their wormhole masses can be expressed as frequency energy states in
mweyl=Eweyl/c2=hfweyl/c2=kBTweyl/c2 and that such extremal black holes do not emit Hawking radiation in
evaporating their matter content over the course of large cosmological time scales.
At the Quantum Big Bang instanton, a baryonic restmass seedling Mo of about 1.814x1051 kg* became
distributed in spacetime vortices given in a de Broglie wave matter inflaton.
This inflaton defined the Hubble horizon as a wavefunction for the holistic holographic de Sitter universe and
set a supercluster scale for a ‘daughter black hole’ known as a Sarkar Schwarzschild metric, embedded
within a ‘mother black hole’ defined in the Hubble event horizon as a function of the total mass content of
the QBBS as defined from the timespace and manifesting in spacetime.
The Sarkar black hole is an extremal black hole and forms the upper limit for gravitational scale interaction
between galactic superclusters.
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This shows that the universe will become isotropic and homogeneous beyond the supercluster scale and so
manifest the 'Cosmological Principle' in the uniformity of the topology and structure of the universe in
cosmological models. The distribution of inertia then takes the form of voids and textures akin a honeycomb
geometry and where the individual 'cosmic cells' span across scales of about 470 million lightyears, which so
define the Sarkar metric.
But the Sarkar Black Hole is extremal and so is a limiting Black Hole in having a mass Mo as the evolution of
the wormhole mass of the QBBS. It does not exist as a 'normal' black hole, such as found at the core of
galaxies, which describe a M-Sigma relation in a general ratio of 0.1%-0.2% between the galactic core inertia
and the total galactic mass.
The overall black hole evolution takes about 4 trillion years as a Strominger brane to satisfy the boundary
condition for the Sarkar black hole to become massless after the completion of the spacetime evolution of
the Weyl brane of the instanton merging with the wormhole of the inflaton in the size of the mother black
hole of the Hubble event horizon at the boundary of superstring spacetime in 10 dimensions to the
intersection with the membrane spacetime of omnispace in the Witten-Maria mirror.
For rps to grow to the Hubble event horizon R H in a time t=n/Ho=nRH/c, the wormhole mass mps must increase
in the n-cycle function for the gravitational parameter G(n)Y(n)=G oMo=GoXnMoYn for(XY)n=XnYn=1 and this
function is proportional to the increase of the wormhole radius for the instanton growing into the size of the
Hubble event horizon as the mirror wormhole of the inflaton.
rpsYn=RH for rps.℮nlnY=RH for nlnY=ln{RH/rps} and
ncritical = ln{RH/rps}/lnY=ln{1.5977x1026/1.5916x10-23}/ln{1.618034}
=ln(2nps)/lnY=234.4715…, implying that 234.4715.Hubble cycles are required for the asymptotic expansion
of the lower dimensional universe to enable the second universe, born when the EMMI light path reached
the Witten-Maria mirror membrane of the 11th dimension to quantum tunnel into the subsequent universal
cycle. As 234.4715 Hubble semi-cycles are 234.4715x16.876 Gy=3.957 Trillion years for a time, the
protoverse would be destined to exhaust its nuclear fuel supplied by stellar and galactic evolution and in the
transmutation of the chemical and atomic elements.
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77
The generating complex function for the Mandelbrot-Julia sets, given in their most general form as
f(z)
2
= z +z is mirrored in the n-cycle time function T(n) in the context of the Friedmann cosmology and the
general evolution of the universe, reconfigured in the universal encompassing sense by the scale factor
a(n)=n/(n+1).
This scale factor relates directly to the definition of the natural exponent ‘e’ and the universal wavefunction
B(n) as a function of the alpha finestructure with the n-cyclic formula T(n)=n(n+1) = n2+n to introduce the
basic Mandelbrot complex function.
The critical density of the universe derives from the total mass density of the QBBS instanton-inflaton
coupling as critical=Muniverse/Vuniverse=MH/22RH3=c2/42GoRH2=Ho2/42Go for the Riemann-Baab 3D-surface
universe and as critical=(3/2)Ho2/42Go=3Ho2/8Go for the 3D-volumar universe.
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Primordial Mass-Charge definitions from the Logos Mathimatia in timespace
Electromagnetic Fine structure: αe=2πke2/hc = e2/2εohc = μoe2c/2h
= 60πe2/h (Planck-Stoney-QR units *)
Gravitational Fine structure (Electron): αg = 2πGomelectron2/hc
= {αg/αplanck} = {melectron/mplanck}2
Gravitational Fine structure (Primordial Nucleon): αnucleon = 2πGomc2/hc for mc
= mplanck.e9
Gravitational Fine structure (Planck Boson): αplanck = 2πGomplanck2/hc = 1
Gravitational Fine structure unification: {αg/αplanck} = {melectron/mplanck}2
= {melectron/mc}2e18
Mass Seed = Mo =√{E.mc2.mplanck2/melectron2} = mc√{E}{αplanck/αg} for googol space quanta counter
E=26x6561 = 1.006...x10112.
Charge Seed = Co = √{E.e2/αe} = √{E.hc/2πke} = √{E.hcGo/2π} = {2e}.{Mo/mc}.{Eps.e}
= {2e}.{Mo/mc}{e/e*} for Eps=1/e*
Source energy quantum Eps = {Quantized charge in Dirac monopole as dipole} {Number of elementary
charged particles}
Eps = 1/e*= {Co/2e2}.{mc/Mo} = {Co/Mo}.{mc/2e2}
= {√{E.e2/αe}/{mc√{E}{αplanck/αg}}.{mc/2e2}
Eps = {1/2e} √{g/planckαe}
Eps = 1/e* = hfps = h/fss = h2/Ess = mpsc2= kBTps = 1/2e√e}{melectron/mplanck}
= √{αg/planckαe}/2e = Gomelectron/2e2
1/Eps = e* = 2Rec2 = √{4αhce2/2πGome2} = 2e√αe[mplanck/melectron]
= 2e√{αeplanck/αg} = {2e2/melectron} √(ke/Go) = 2e2/Gome = e2/2πεome for Go=1/ke=4πεo
for a cosmological unification of fine structures in unitary coupling
E*. e*=1 in [Nm2/kg2]=[m3s-2/kg]=1/[Nm2/C2]=[C2m-3s2/kg] for [C2]=[m6/s4]
and [C]=[m3/s2]. Eps = 1/Ess = 1/e* = √{αg/αe}/2e = Gome/2e2
The Charge seed is proportional to the number of particles in Universe as {M o/mc} and where the primordial
nucleons are all ylemic neutrons of spin ½ and which so define their radioactive decay products in a charge
twin of positively charged protons and negatively charged electrons and with uncharged antineutrinos.
The unification between dipolar electropolar Coulomb charge 'e' and monopolar magnetopolar StarCoulomb charge 'e*' unifies the Consciousness quantum Eps=1/e* in the nature of dipolar electric charge in
the redefinition of the Dirac string and the Dirac magnetic monopole from timespace into spacetime.
79
In the universe the consciousness quantum manifests as the inverse of the electric charge quantum 'e', so
cancelling any dipolar magnetic effects of the monopolar charge e* in Khaibit. In the universe this
monopolar equivalence manifests in its elementary form as the diameter of the electron multiplied by the
square of the speed of light c2.
The Dark Matter energy so becomes defined in the Universal Consciousness Quantum
‘UniPhysCon’ → Eps = 1/e* = 1/{2Rec2} = 1/{Volume [2π2RRMP3]}x{Angular Acceleration df/dt} for the dark
matter elementary consciousness particle RMP=Restmass-Photon RRMP = ∛{e*.dtss/dfps|resonance/22}
RRMP = ∛{(e*/22)/(9x1060)} = 1.411884763x10-20 m* and of spin quantum -1 and a wavelength
RMP=2RRMP=8.8711336x10-20 m*
The dark matter particle has a mass of mRMP=h/cRMP=2.50500367x10-23 kg* and an energy of
2.2545033xd10-6 J* or 14,034.0 GeV* or 14.034 TeV* (13.999 TeVSI) as the maximum capacity for the Large
Hadron Collider (LHC) at CERN, the international research center for probing the universal energy scales in
particle accelerators in Geneva, Switzerland.
Magneto-Monopolar charge quantum e*/c2 = 2Re ⇐ super-membrane displacement
transformation ⇒ √α.lplanck = e/c2 as Electropolar charge quantum …….…[Eq.III-1]
Dirac’s quantization condition crystallizes naturally from the relationship between the classical electron
radius and its relation to the Compton radius for the oscillation scale for the electron exchanging the nature
of the Dirac monopole as a monopolar singularity in timespace and the QBBS with the classical electron scale
from the wormhole radius rps to the classical electron radius Re=h/2cmelectron=Rcompton in spacetime.
Dirac’s quantization condition derived in its historical context before, states Magnetic monopole
qm = n.e/2={n/N}{e/2} for electropolar charge e quantized in integer n equal to the magnetopolar charge
qm multiplied by 2.
Dirac’s magnetopolar charge qm=g is however defined as:
e* = 2Rec2 = 2Rcomptonc2 = 1/Eps = {2e}√{planckαe/g}
for the result e*/2e = Rcomptonc2 = {e/e}√{planckαe/g}
for quantized (2e) = e*√{g/planckαe} = e*{melectron/mplanck}/√{αe}
= e*{melectron/mc}√{e17
Magneto-Monopolar singularity charge quantum e*√{planckαg/e} = 2e as Dipolar Electropolar
charge quantum (2e) …………[Eq.III-2]
The singularity magnetic monopole of the QBBS becomes the point charge elementary electron in Quantum
Field Theory (QFT) and Quantum Electro-Dynamics (QED). The classical electron is then enabled to
physicalize the Dirac string from timespace in the created spacetime quantizing the previously infinite Dirac
string in the inflaton as two boundary wormhole singularities in multiples of the wormhole radius rps=ps/2
quantized in the classical electron radius in 360Re=1010ps as a classical monopolar bound in the spacetime
quanta count E.
80
For {RRMP(ss)/RRMP(ps)}3=(fss/fps)2=(fss)4=(4π2rps/rssc2 )2 = {1/81x10120} ~ Critical Density/Planck Density
ρPlanck/ρcritical={2πc5/hGo2}/{3Ho2/8Go}={162c5/3hGoHo2}={1.855079x1096}/{3.78782x10-27} ~ 81x10120
= 4.897x10122 in a de Sitter cyclically closed EMR 10D-cosmology for which =B+MDM/RMP+DE=1
ρPlanck/ρcritical={2πc5/hGo2}/{Ho2/4Go}={83c5/hGoHo2}= {1.855079x1096}/{1.78497x10-26} ~ 81x10120
= 1.039x10122 in an Anti-de Sitter open-closed EMMR 11D-cosmology for which =B+MDM/RMP+DE=1
The Einstein quintessence agency of the RMP is shown to couple in string-membrane duality to both a
minimum sourcesink and a maximum sinksource expression in the energy distribution of the multidimensional universe. The ratio of the RMP’s vibratory wormhole micro eigenstate of high energy to its
winding mode anti-wormhole macro self-state then crystallizes the Planck-Density to Critical Density ratio
in convolution with the dark energy and Zero-Point-Energy of the multi-dimensional cosmology.
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V: The Higgs-Planck False Vacuum and the Temperature Gradient for the QBBS
Cosmology
The temperature evolution of the Instanton can be written as a function of the luminosity L(n,T) with
R(n)=RH(n/[n+1]) as the radius of the luminating surface. Luminosity is specified as physical Power P or total
energy E emitted over a time t.
For the total energy of Universe as E U = Moc2 for a cycle time n=Hot or tps = nps/Ho as initial boundary
condition for t = n/Ho then equates HoMoc2/n as proportional to L(n,T) = (Surface area of the energy
emitter)(BBR proportionality constant)(temperature of emitting body) 4 with proportionality constant 3/550
obtained from the 33-tier Maria Code and the Principalities of the Mathimatia.
The second Eps-Expansion-Coefficient in the Expansion Principality now reduces this luminosity by a factor of
3/550 = 1/183.33... to indicate the Core-Bulge Ratio for Black Holes, termed a M-Sigma relation in the
mapping of the Planck minimum energy Zero-Point Oscillator Epo = ½Ep = ½hfp = ½mpc2 = ½kBTp onto the
Instanton parameters of the Eps-Weyl wormhole.
3/550 = 1/{11.2e*/60} = 60 E ps/22 = ½Eps.{60/11} for ½Eps = {11/60}{3/550} = 33/33,000 = 1/2e*.
The Luminosity function for Universe for a temperature T(n=H ot) can be written as:
L(n,T) = 6π2R(n)2.σ.T4 = 3HoMo.c2/550n ................... [Eq.IV-1]
3HoMoc2/550nps = L(nps,T(nps)) = 6π2λps2.σ.Tnps4 = 2.6711043034x1096 Watts* for T(nps) = ∜{Mofps3/1100π2σ}
and where σ = Stefan's Constant = 2π5k4/15h3c2 in units of [J/K4m2s1]=[kg/K4s3]
and as a product of the defined 'master constants' k, h, c2, π and 'e' from the two self-generating algorithms
of the Mathimatia.
The Genesis Boson then became the parametric initialization of creation in the abstract labelling of the
Mathimatia:
ENERGY=k.TEMPERATURE=h.FREQUENCY=h/TIME=MASS.c2 and using the SEps-Master-Constant Set:
{4; 6; 7; Lo=1/[6x1015]; c2=9x1016; 11; h=1/[15x1032]; A2=14x1524; k=1/[15x1618]; 26x6561} in reverse order and
with arbitrary symbols as shown associated with those 'master constants'.
Particularly then: ENERGY = hRmax/λps = hRH/λps with MASS = hRmax/λpsc2 = 0.01183463299 and TEMPERATURE
= hRmax/kλps = 7.544808988..x1037 and FREQUENCY = λps /Rmax= nps = 1.59767545..x1048 in the Mirror duality
fps = 1/fss for fps.fss = 1 and time instantaneity tps = fss = 1/fps as a Maximum/Minimum initial- and boundary
condition.
MASS becomes the 'Atomic-Mass-Unit' in 12D-F-Space in using one proto nucleon mc = Alpha9.Lplanck for every
one of the 12 monopolar current loops in the Unified Field of Quantum Relativity UFoQR.
A first Eps-Identity-Coefficient in the Expansion Series of the fundamental principles from the SE ps algorithm
then crystallizes the 'Counter for matter' in Avogadro's Constant for Molarity, subject to mass energy
perturbation effects: MASS(20/33)/12mc = Navogadro = 6.02242143x1023 1/mol*
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The counter N=nps=λps/Rmax in 'real' time relative to the Quantum Big Bang and emerging from the string
epoch and relating to 'imaginary' time relative to this self-same creation in the Cosmogony of the Genesis
Boson in Khaibit and the Inflaton-Instanton of the Abba-Baab 11-dimensional super membrane.
This 'virtual' or unreal Quantum Relative Time then manifests as the Hubble-Frequency Ho=c/RH in
proportionality to the Source Frequency of the Eps-Gauge Photon fps=c/λps in the expression HoRmax=c=λps.fps.
N then had been the Null time for the initialization of the super membrane modular duality in the De Broglie
phase speed initialization, beginning with the oscillation or bounce of the Planck-Length conformably
mapped onto time instantaneity as a Now-Cycle-Time nps=Hotps=Ho/tss and as the Time Instanton
tps=1/fps=fss and the Inflaton Rmax=RHubble=c/Ho with de Broglie Phase speed Vdebroglie = RH.fps = RH.c/λps = c/nps as
the 'Heartbeat of the Cosmic Mother Black Hole' frequency of the oscillating cosmos in the Cosmology of
Abba.
The Hubble frequency H(n), so oscillates between two Hubble nodes maximized as frequency as the source
frequency fps at the Instanton and minimized in the Hubble frequency Ho at the Inflaton node of the Hubble
event horizon as Ho = nps/tps = λpsfps/RH = c/RH.
The third Expansion-Coefficient in the Expansion Principality is 2/103,125 and indicates the frequency eigen
states for sufficiently 'evolved space-aware' consciousness processors as VPE-Mo/mc Abba energy collectors.
(2/103,125)fps.Lo = 9696969696 = fiEi2 'self-states' for frequency-mass eigen-states and for a 'optical
unification' of Eps.Ess in the form of the Restmass-Photon acting as dark matter gauge ambassador particle
on physical consciousness carrying YCM-matter conglomerations or bodies.
The temperature evolution at any cycle time n=Hot so is expressed as:
T(n) =∜{{Ho3Mo/1100π2σ}.{(n+1)2/n3}} with L(n,T) = 6π2R(n)2.σ.T4 = 3HoMo.c2/550n …..[Eq.IV-2]
R(nps) = npsRH/(1+nps) = λps in the limit of the Instanton with Volumar V3(R) = dV4/dR = d(½π2R4)/dR
V3(R) = 2π2RH3 defining a surface area dVH/dR = 6π2RH2 from the 3-dimensional surface V3 in the spacetime of
Klein's 4-dimensional volume V4(R).
L(n,T) = 3HoMo.c2/550n and for Temperature T(nps) ----------- T(nps) = 2.93515511x1036 Kelvin*.
T(nps) so is the temperature of the Instanton as a function of the baryonic mass seed M o and therefore also
the temperature of the Dark Energy in terms of the Lambda-Einstein acceleration in proportion to the
deceleration parameter qo = Λo/AdB = ½Ωo = Mo/MH.
In the form and context of quantum gravity however, the temperature of the Instanton was
Tps=Eps/k=hfps/k=mpsc2/k for a quantum gravitational minimum Black Hole mass of Mhyper = rpsc2/2Go.
The BBR or Planck Black Body Radiator so began its expansion at light speed 'c' with hypermass
Mhyper = psc2/4Go = 6445.78 kg* and about the weight of a pair of mature elephants as the minimum mass
for a Schwarzschild Black Hole.
This mass is eleven orders of magnitude greater than the Planck-Mass mPlanck
Quantum gravity derives from this deviation from the Planck-Mass mPlanck with curvature radius LPlanck.
84
The rest of the mass seed Mo so was distributed in the higher dimensional spacetime of Klein as a potential
energy defined in the Vortex-Potential-Energy or VPE and in expectation of being 'triggered' as an 'energy of
the vacuum' upon the 'filling' of the Klein space in 4 space dimensions by the Möbius 3-dimensional space
expanding as the Instanton into the Inflaton.
Within the era of the super membranes, the physical parameters had been defined in the transformation of
5 string classes from the Planck boson to the Weyl boson and prior to the final transformation birthing the
Instanton, the Genesis boson had defined the parameter of un-physicalised TEMPERATURE to allow a 'False
Vacuum' to manifest the Higgs template in the UFOQR and to correlate the 'Bounce of the Planck length' to
a 'Bounce of the Planck time' in the Inflaton-Instanton conformal transition and as the maximum HBPFV.
Its minimum is then the deceleration parameter gradient q o=Λo/AdB bounded in the Genesis boson for the
parameter initialization.
tGenesis = nGenesis/Ho = 4.395x10-33 s* for cycle time n(tGenesis) = ∛{Ho3Mo/1100π2σ}/TEMPERATURE4}
= ∛{18.200/3.2403x10151} = ∛{0.56167x10-150} = 8.252x10-51 for T(nGenesis)
=∜{{Ho3Mo/1100π2σ}.{(nGenesis+1)2/nGenesis3}} = 7.5448x1037 K* in the false Higgs vacuum and
tGenesis = 8.252x10-51/Ho = 8.252x10-51/{fps.nps} = 4.395x10-33 s*from E(kBT)/E(hf) and the Stefan-Boltzmann
Radiation Law for Black Body EMR with nps=Ho/fps = ps/RH = 6.25909x10-49
tdBmin = qotps = ndBmin/Ho = nps{GoMo/c3}= 4.672x10-33 s* for cycle time n(tdBmin) = 8.772x10-51 s* for
T(ndBmin) = ∜{{Ho3Mo/1100π2σ}.{(ndBmin+1)2/ndBmin3}} = 7.206x1037 K* in the false Higgs vacuum from the DE
gradient instanton bounce for deceleration parameter qo = Λo/AdB = {GoMo/ps2}/{RHfps2} = Mo/2MH
2tdBmin = Ωotps = 2ndBmin/Ho = nps{2GoMo/c3}= 9.343x10-33 s* for cycle time n(tdBmin’) = 1.754x10-50 s* for T(ndBmin’)
= ∜{{Ho3Mo/1100π2σ}.{(ndBmin’+1)2/ndBmin’3}} = 4.285x1037 K* in the false Higgs vacuum from the DE gradient
instanton bounce for Ωo = Mo/MH = {2GoMo/ps2}/{RHfps2} = 2GoMoHo/c3
tHBPFV = {T(nps)/TEMPERATURE}tps = {T(nps)pskB/hRH}tps = T(nps)npskBtps/hRH = nHBPFV/Ho = 1.297x10-32 s*
for cycle time n(tHBPFV) = 2.435x10-50 s* for T(nHPFV) =∜{{Ho3Mo/1100π2σ}.{(nHBBPFV+1)2/nHBPFV3}}
= 3.351x1037 K* in the false Higgs vacuum
tdBmax = [√α]tps = ndBmax/Ho = 2.847x10-32 s* for cycle time n(tdBmax) = 5.347x10-50 s*
for T(ndBmax) =∜{{Ho3Mo/1100π2σ}.{(ndBmax+1)2/ndBmax3}} =1.857x1037 K* in the true Higgs vacuum from the
Planck-Stoney Inflaton time bounce
tWeyl = tps = nps/Ho = ps/(RHHo) = ps/c = 1/fps = 3.333x10-31 s* for cycle time nps = 6.2591x10-49 s*
for T(nps) =∜{{Ho3Mo/1100π2σ}.{(nps+1)2/nps3}} = 2.935x1036 K* in the instanton-inflaton nps of the QBBS
forming the Tps = Eps/kb = hfps/kb = 1.41671x1020 K* kinetic Temperature gradient of the cosmogenesis.
The Higgs Vacuum is a true vacuum from the Planck-Stoney instanton-inflaton bounce mirrored in the Weylparameters of the QBBS and so encompasses a time interval of 3.87x10 -30 seconds* from
√alpha.tps = 2.847x10-32 s* to tps/√alpha = 3.902x10-30 s*.
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The string class epoch from the true Higgs vacuum to the Planck boson are encompassed by the false Higgs
vacuum with characteristic boson temperatures below the bound set by the algorithmic temperature
definition:
Planck Temperature TPlanck = mPlanck.c2/kb = √{hc5/2Gokb2} = 1.075x1032 K* and the Planck-Length bounce
TPbopunce = TPlanck/√alpha = 1.258x1033 K* and below TAlgo = EAlgo/kB = hfAlgo/kB = hNps/kB = h/npskB = hRH/ps.kB =
TEMPERATURE = 7.5448x1037 K* as the mathematical logical bound for the cosmogenesis in the minimummaximum protocol described.
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This manifests as a 'false vacuum' and as a temperature gradient, as a causation of the Big Bang InstantonInflaton emergence on physical grounds.
The metaphysical ground is the symmetry breaking from the source parity violation described in the birth
and necessity of the Graviton to resymmetrize the UFoQR and as a consequence of Abba's quest to find
Baab as Universe without and within as Sophia Earth and the forms of Adam and Eve reborn from their
archetypically energized nature as physicalized body forms manifesting the Life of Universe, Multiverse and
Omniverse.
T(n)4 = HoMoc2/(2π2σRH2[550n3/[n+1]2]) for T(n)4 = {[n+1]2/n3}HoMoc2/(2π2σRH2[550]) = 18.1995{[n+1]2/n3}
(K4/V)*
TEMPERATURE/T(nps) = 7.544808988...x1037/2.93515511x1036= 25.705 = 1/0.03890... T(nps) = 2.935x1036 K*
of the singularity is 0.0389 or 3.89% of the pre-singularity within the Inflaton.
So, the POTENTIAL ‘algorithmic’ Temperature manifests as 3.89% in the ‘Vacuum-VPE/ZPE phase
transitioned’ KINETIC Temperature' which doubles in the Virial Theorem to 7.78% as 2KE + PE = 0 and maps
or transfers the ‘Higgs Bosonic-Planck False Vacuum’ or HBPFV in projecting the timespace of the algorithmic
parameter space of the Mathimatia onto the herewith created spacetime of the Instanton-Inflaton period of
the QBBS within the ‘Higgs Bosonic Planck-Weyl True Vacuum’ or HBPWTV.
Applying the actual VPE/ZPE as a function of the physicalized EMR at the Instanton to this temperature
gradient then manifests and projects this temperature gradient with a one percent perturbation centered
on the Instanton-Inflaton of the Weylian Eps.Ess supermembrane QBBS.
For the %-interval {(0.038903-0.039313)—|0.0583545|—(0.076995-0.077806)} for a delta of
=1.01054=1/0.98957:
{[(5.51143-5.56951)x1018]--[(1.09080-1.10229)x1019]---Tps=Tweyl = 1.41671x1020
Tps=Tweyl= 1.41671x1020 ---[(1.82082-1.84000)x1021]--[(3.60369-3.64165)x1021]} K*
ρVPE/ρEMR = {4πEps/λps3}/{8π5{kBT}4/15h3c3} = 15{Eps/kBT}4/2π4 = 0.07699486...{Eps/kBT}4 indicating the
proportionality EVPE/EEMR ∝ {Tps/TEMR}4 in proportionality constant 1/12.98 2Tps/Tpotential at the Instanton from
the Inflaton as an original form of the virial theorem, stating the Potential Energy of the de Broglie wave
matter Inflaton AdB=RHubblefps2 to be twice the Kinetic Energy of the ‘cosmological constant’ in the Einstein
quintessence o=GoMo/ps2 Weyl Instanton, then manifesting as the o/AdB = qo = ½o = Mo/2MHubble =
RSarkar/2RHubble Schwarzschild-Strominger mass cosmic evolution.
This then extrapolates the Big Bang singularity backwards in Time to harmonize the equations and to
establish the 'driving force of the vacuum' as the DE from Khaibit and in association with a potential scalar
Higgs Temperature Field.
All the further evolvement of the universe so becomes primarily a function of Temperature and not of mass.
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The next big phase transition is the calibration of the BOSONIC UNIFICATION, namely the 'singularity'
temperature Tps=1.41x1020 K with the Luminosity function.
This occurs at a normal time of 1.9 nanoseconds into the cosmology.
T(nps) reduces to Tps = 1.4167x1020 K* for L(n,T) = 6π2R(n)2.σ.T4 = 3HoMo.c2/550n and Tps = Eps/kB
for nBU3/(1+nBU)2 = Ho3Mo/(1100π2σ.Tps4) and for nBU = ∛{4.511x10-80} = 3.562x10-27 for
tBU = nBU/Ho = 1.90x10-9 s* or 1.9 nanoseconds*.
It is then that the universe as a unity has this temperature and so allows BOSONIC differentiation between
particles.
The individuated Bosons of the mass had been born then and not before, as the entire universe was a
bosonic macro-quantized superstring or super-heated Bose-Einstein Condensate or SH-BEC until the bosonic
unification nexus was reached by the expansion of Universe from the lower dimensional Instanton of
Möbius into the higher dimensional Inflaton of Klein.
The size of the universe at that time was being 1.14 meters across by R(nBU) = RH{nBU/(1+nBU)} = 0.57 m*.
Next came the electroweak symmetry breaking at 1/140 seconds and at a temperature of so
1.7x1015 Kelvin*
The Physical Quantum of Consciousness as Space-Awareness (df/dt) maximized and minimized in the string
coupling constants fps2 and fss2 respectively, so can be defined as:
e*=2Rec2=(Classical Electron Diameter)x(lightspeed) 2=VolumexAngular Acceleration
As the time differential operator on frequency is independent on radial displacement in df/dt as the square
of frequency or the square of inverse time; we can now also define the parameter of:
Spacial Awareness=df/dt=AlphaOmega=αω=aw=Angular Acceleration Quantum.
The Spacial Awareness 'aw' then operates upon any volumar in the root-reduced F-Space (12D being a 9dimensional brane volumar of superstring dimensions to which is coupled a 3- dimensional temporal timeconnector volumar in 12=9+3 F-Space, 11=9+2 M-Space and 10=9+1 C-Space) and as the 3-D volume of the
observed spacial component of the 'Euclidean flatness of the Minkowski spacetime metric.
The implications of those definitions for the physical universe and its cosmology are far reaching indeed. As
the expanding universe increases in its 3-dimensional volume, its 'spacial consciousness' is also increasing in
the 'activation' of additional spacetime quanta.
Each of these spacetime quanta describes the inherent Zero-Point-Energy (ZPE) as defined in the 3D-volumar
of the Eps sourcesink superstring energy quantum then coupled to its characteristic 'star coulombic' 'physical
consciousness'.
The ZPE per unit volumar is: ZPEquantum=4πEps/λps3=Eps/2π2 rps3=4π/e*λps3 (Joules/m3) Every ZPE quantum is
coupled to a volume V*=e*/(df/dt) and so defines the quantization of spacial volume in terms of the ZPE, as
well as the 'physical consciousness' contained in that volume.
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The V* here denotes the resonant quantum volumized eigenstate in a minimized spacetime volumar and
NOT in terms of spacial volume, but in the form of an ENTROPY COUNTER of 'statistical permutation selfstates’ operation upon the 'Spacial Consciousness' quantum e*=1/Eps=1/Ess.fps2=fss/h.
The self-frequency of the mass quantum so can be expressed formally as fss=he* for the time instanton
tss=fss, the latter triggering the 'inertialisation' of the post-inflationary cosmology in the so-called Quantum
Big Bang, precisely 3.333.x10-31 seconds* following the 'string epoch' of the matter wave inflation (detailed
and referenced elsewhere on this site). But it is the supermembrane coupling between the gravitational
(photonic) mass Mg as given by the vibratory sourcesink string with the inertial mass M i as given by the
winding sinksource the string, which is the primary causation for this Quantum Big Bang, following the
string-parametric de Broglie wave matter inflation.
Rewriting fss=he* then describes this coupling in the ACTION=EnergyxTime of the Planck Constant in the
finestructure fss=Energy*xTimeInstantonxe* for the Unity Condition of F-Space in 1=E*e* that is the original
definition of e*=1/E* as the definition for the 'Physical Consciousness of Space'.
Generally, then, the permutative entropy counter df/dt|max=fps2 gives precisely 9x1060 frequency eigenstates
as the coupling constant between the two modes of the superstring; whilst its inverse defines the minimum
as the 'Singularity' 'Null-State' or 'No Consciousness' state as 1/(9x1060)~0.
df/dt|max = lim{[fps – tps]/tps} = fps/tps – 1 = fps2 – 1 = fps2 in the limit for 9x1060 permutation self-states
df/dt|min = dt/df|max = lim{tps/[fps – tps]} = lim{fss/[(1/fss) - fss]} = fss2/[1 – fss2] = fss2 in the limit as 1/fps2
This is the universal sourcesink/sinksource volumar for the supermembrane Eps.Ess coupled in brane
modular duality and solves the ‘cosmological constant’ problem in a revision of the Friedmann cosmology.
By introducing a quintessence for the harmonic oscillator modal energy eigenstates |Eps|={½+N}hfps for
supermembrane Eps.Ess in the Zero-Point-Energy, the quantum description for spacetime crystallizes as a
parameter space between maximized and minimized oscillation modes for the heterotic string class HE(8x8)
as 10-dimensional expressions for the 11-dimensional membrane spacetime as the cosmological boundary
mirroring an open ended Minkowski cyclically flat expanding cosmology in a closed de Sitter cosmology.
The lower dimensional universe so becomes cyclically bounded within an infinitely expanding unbounded
higher dimensional cosmology with the cyclicity of the gravitationally retarded de Sitter universe quantum
tunneling in the cosmology of the multiverse.
The Awareness operator applicable for all universal space so can fluctuate between the quasi-zero state and
the maximized resonance state in the factor of 81x10 120 and a value 'measured' by contemporary standard
cosmological models as characteristic of the density discrepancy between the Planck-(ZPE)-Density
{ρP=mP/VP=c5/πhGo2 }~9.4x1094 (kg/m3) and the actual matter density measured in the universe
ρcritical=3Ho2 /8πGo~3.8x10-27 (kg/m3 ) from the inner 10D observer frame and
ρcritical=Ho2 /4π2Go~8.0x10-28 (kg/m3 ) from the outer 11D observer frame of the Riemannian hypersphere as a
3D boundary of the 4-ball V4=½π2R4 for dV4/dR=2π2R3 as a 3-dimensional surface descriptive for the overall
topology of the standard cosmology.
The dimensionless ratios of ρP/ρcritical then indicate the ZPE/Critical energy discrepancies in the factors of the
permutation string self-states in the factors of 2.5x10121 and 1.2x10122 respectively.
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The ZPE-quantum Eps=E* so represents the kernel or core for any region of space containing a maximized
'physical consciousness' given by 1/E*=e* Star Coulombs (C*).
The quantitative volume V for this consciousness is minimized in V ps*=e*/fps2 in sourcesink resonance to the
vibratory superstring modality and is in modular duality (as a monadic dyad or monadic duad) to its coupled
sinksource resonance of its winding mode in its quantum modular maximization of V ss*=e*fps2.
The minimum calculates as Vps*=e*/fps2=1/1.8x1058 permutation states and translates to a 3D volume of
measurement R with a Compton radius Rcompton=h/2πmc=c/2πfcompton=c/ωcompton with angular velocity ω=2πf
and for Rcompton=RRMP(ss)=(e*fss2/2π2 )1/3 ~1.4x10-20 meters for a Compton Energy of about 2.2 microjoules or
as 14.03 TeV (as the maximum design capacity of the Large Hadron Collider or LHC located at Geneva,
Switzerland comprised of two individuated colliding proton beams).
The precise ratio between the ZPE-kernel and the 'Space Consciousness' surrounding this core becomes:
Wormhole-Radius/Space-Consciousness-SourceSink-Radius for rss=2πλss=2π/λps=1/rps and fssλss=1/c is:
rps/RRMP(ss)=rps/RRMP=(2π2/e*rss3.fss2 )1/3=c(fss/4πe*)1/3=(c3.fss/8πRe)1/3 ~ 1/887.11 (dimensionless).
The string coupling defines c=λpsfps=1/λssfss , rendering the Minkowski lightspeed constant c as dimensionless
in the Lightpath Xps=ctps=cfss.
This defines the quantum gravitational coupling of the gravitational mass element mss to the observed and
measured elementary particle masses in QFT and Quantum-Chromodynamics (QCD) in the 'chromaticity' or
'colour charging' of gluonic gauge interaction transmitters being identifiable as the Magneto Charges defined
in Star Coulombs (C*).
The corresponding maximum then couples in macro quantization to the micro quantized quantum
gravitational Magneto Charges in Vss*=e*fps2=4.5x1063 permutation states for a characterizing 'Galactic
Volumar' in RRMP(ps)=(e*fps2/2π2)1/3=(e*/2fss2π2 )1/3 ~ 6.1x1020 meters or so 64,650 lightyears and a
displacement scale which is then 'haloed' by the winded string parameter r ss=1/rps=2πλss ~ 6.3x1022 meters or
6,648,875 lightyears and as the displacement scales observed by the standard cosmology.
Correspondingly, the Anti-Wormhole-Radius/Space-Consciousness-SinkSource-Radius is:
rss/RRMP(ps)=(16π5 λss3/e*fps2)1/3=(16π5/fsse*c3)1/3=(8π5/fssRec5)1/3 ~ 102.85
As rps/rss=rps2=(cfss/2π)2 and (fss/fps)2/3=(fss)4/3=(4π2rps/rssc2 )2/3
RRMP(ss)/RRMP(ps)=(fss/fps)2/3=(fss)4/3=(4π2rps/rssc2 )2/3
for {RRMP(ss)/RRMP(ps)}3=(fss/fps)2=(fss)4=(4π2rps/rssc2 )2 = {1/81x10120} ~ Critical Density/Planck Density as the
awareness operator fluctuation range.
ρPlanck/ρcritical={2πc5/hGo2}/{3Ho2/8Go}={162c5/3hGoHo2}={1.855079x1096}/{3.78782x10-27} ~ 81x10120
= 4.897x10122 in a de Sitter closed EMR 10D-cosmology for which =baryon+MDM/RMP+DE=1
ρPlanck/ρcritical={2πc5/hGo2}/{Ho2/4Go}={83c5/hGoHo2}= {1.855079x1096}/{1.78497x10-26} ~ 81x10120
= 1.03928x10122 in an Anti-de Sitter closed EMMR 11D-cosmology for which =baryon+MDM/RMP+DE=1
This is the universal sourcesink/sinksource volumar for the supermembrane Eps.Ess coupled in brane
modular duality.
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The 'Physical Consciousness' in the standard cosmology now crystallizes as being associated with biovital
lifeforms, occupying space, and as evolving in the dynamics of (holographic) fractals of the encompassing
'consciousness envelope' aka the galactic cells of macro-quantized entities.
This bio vitality is defined in a 'kernel consciousness' inherent in space itself via the string-coupled
modalities, mimicking the overall expansion of the thermodynamic (and stochastic) universe.
This process can be comprehensively described as the EVOLUTION of Core-Consciousness in its Spacial
Occupancy.
The Definition of 'Life' must so fundamentally be based on the string coupling between the two modalities
and as two modes of operation, which quantum relatively entangle the micro-quantum characterised by the
'wormhole core' as a function of the nuclear interaction scale and where the classical electron radius R e is
also the scale of the magneto-asymptotic confinement of gluons in the definition of the magneto charges
and so becomes the limiting quantum geometric template for the nuclear gauge interactions and the 'Higgs
Bosonic' blueprint at the 3 Fermi scale.
'Life' then becomes the cosmos-evolutionary consequence of a quantum geometry defining the spacial
configurations of the supermembranes as superstring couplings. Therefore, the most basic and primordial
'lifeforms' such as viruses, bacteria and fungi follow highly geometrized patterns in Platonic- and
Archimedean solids, characterised by highly symmetrical arrangements of their molecular and atomic
constituents. The most elementary 'life form' is the crystalline arrangements of the self-replicating pattern.
This originally manifested in so called quasicrystals of five folded symmetry, such as can be observed in
Shechtmanites and the Penrose tiling.
The underpinning cosmology of the decoupling and breaking of the so termed Planck-Symmetry transformed
the Planck-String into 5 classes of superstring: this 'breaking of unification' following a pentagonal
supersymmetry at the core of all 'natural laws'.
For a 'lifeless' mass-only universe then the self-frequency of mass in the fss sinksource superstring would
define the awareness operator as minimized in V*min=e*/(fss2 )=e*fps2
Corollarily, the 'fully life-conscious' universe (attained after an infinite linear time evolution of the
descriptive cosmology) would be defined in V*max=e*fss2 .
We can now relate the 'spacial consciousness' in terms of the universe's inertia content to the volume
occupied by mass. As there are (RHubble/rps)3 ~10147 spacetime quanta in the asymptotic string universe of 10D
and bounded by the membrane universe of 11D as an extremal Strominger braned Black Hole say and the
sinksource (winded string) Ess=hfss=mssc2=2.222...x10-64 J; we can define a 'Consciousness-Density per unit
mass' crmp for this 11D-'Mother-Black Hole' in Witten M-Space in dyadic coupling with a
12D-'Father White Hole' in Vafa-F-Space (MBH and FWH).
The M-Space MBH defines the Hubble horizon in its' closure mass' :
MHubble=RHubble.c2/2Go=Σmss=Nmss~ 6.4706x1052 kg
crmp=e*(RHubble/rps)3/MHubble=2Goe*RHubble2/rps3c2 = 7.81685x1096 ~ 83.2 ρPlanck C*/kg
This is about 83.2 times the Planck-Density for MHubble and 2.34 times the Planck-Density applied to the
baryonic mass seedling Mo=0.0281MHubble.
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The 'Base Inertia Consciousness' (BIC) per minimal mass quantum m ss then calculates as
msscrmp=(2.46913x10-81)(7.81685x1096)=1.930x1016 C* and for a count of N=2.6206x10133 mss as the inertia
distribution of the BICUniverse=5.058x10149 C*.
A characteristic mass of 1 kg as 4.05x1080 mass quanta, say as the standard liter of water in 10 -3 cubic meters
of volume so possesses an inherent inertial consciousness of 4.05x1.93x10 96 C*=7.82x1096 C*.
This is the ZPE of the quantum standard models redefined in units of consciousness and this total includes
'dark matter' and 'dark energy' by the overall mass distribution Nmss=mss from the evolution of the
o=Mo/MHubble - Einstein Lambda QBBS instanton-Inflaton cosmology.
In terms of the volume of 1 liter; however, the 'spacial consciousness' quantizes in the form of the VPE
quantum Eps=1/e* per unit volume and which is the source energy Vortex-Potential-Energy quantum
volumar VPE = Eps/2π2rps3 = 2.5133x1064 [J/m3]*.
The 'inertia consciousness' of 1 liter of water so relates the BIC of 7.82x10 96 C* to a VPE or ZPE
of 2.51x1061 J/m3.
The example of a simple rock serves as a culmination of this essay. A rock, occupying a volume V rock carries
an intrinsic Base-Consciousness due to its volume. This basic consciousness is given in the mass-frequency fss
as the mass of the rock is quantized in a number count N of mass quanta mss. This mass of the rock is actually
a higher-dimensional mass-current as a form of 'natural superconductivity' Ips=2efps superstring coupled in
modular duality to Iss=2efss.
The rock can so also be described as a summation of displacement current elements Iss=2eλps/c according to
the previously described equations of James Clark Maxwell’s electromagnetic theory. Mass in its purest form
so is nothing but 'static magnetoelectricity' or densified electromagnetic monopolar sourcesink current.
The non-densified form of mass is of course photonic, and should this photonic mass NOT be a derivative
from the acceleration of electric Coulomb charges 'e' coupled to preexisting mass (say fusion protons in
stars) BUT be a derivative from the acceleration of magneto charges 'e*', then the resulting Electromagnetic
Radiation is monadic or Monopolar EMMR and defines the so called 'SPIRIT' of metaphysical cosmologies
and philosophies.
The rock of volume Vrock and as some summation ΣIss or Σmss so describes an energetic self-state of the
superstring coupling between the string dyadic of the micro quantum Eps and the macro quantum E ss.
The interaction of the rock with its environment then, in elementary terms, becomes a dynamic of spacial
interaction in the movements of the rock in potential and kinetic energy and an encompassing wave-particle
quantum eigen state of environmental quantum entanglement (Mach’s Principle) with self- and mutual
electric and magnetic inductions and capacities and resistances.
All space quanta are associated, or quantum entangled with each other via the string coupling and as all
spacetime volumars are defined by their ZPE-core and its 'haloed' or 'auric' envelope of the physical
consciousness coupled to the volumars by the self-awareness operator df/dt; the entire cosmology is
rendered a unified kaleidoscope of holofractal self-interaction of the thus defined 'Cosmic Consciousness'.
A basic quantum consciousness then is multiplied and complexified in the interaction, self- and mutual,
between spacetime volumars of varying sizes in the encompassing summation integrals of the initial- and
boundary parameters of the cosmogenesis.
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The phenomenon of 'life' then is characterised by the Awareness-Operator the Alpha-Omega aw=αω=df/dt,
namely the 'Change in Frequency' over linearized Time t and where the sourcesink frequency for minimum
impedance for the 'natural current flow' (Ips) forms the upper bound source-resonance of the vibratory string
modality and the maximum impedance describes the 'natural current flow' (I ss) as the lower bound for the
sink-resonance.
The 'lifeless' universe of the primordial Quantum Big Bang is in Sink-Resonance to the Ess sinksource as a
macro quantum, manifesting the super galactic inertia in Black Holes as seedlings for mass agglomerations
known as galaxies.
Coupled to those 'higher-D' Black Holes are however imaged 'higher-D' White Holes (Quasars) who as
Source-Resonators manifest the Source-Resonance of the Eps sourcesink as the micro quantum of the super
braned cosmology from its cosmogony.
The purpose and reason for the universe of materiality so is found in the Coevolution of SourceSink SelfConsciousness as unified encompassment for the cosmic evolution with its individuated and dispersed
holographic shards or holograms of this selfsame self-consciousness in evolvement.
The operator for this evolvement is spacial self-awareness and the ability to use a bio mind defined by the
function of 'changing' or modulating the frequency received by an antenna, which can take the form of a
biochemical and molecular arrangement of cellular units termed a 'brain'.
The biological evolution of brains, then accommodates the utility of the natural superconductive electricity
embodied in space itself; the biochemical electricity of say electromagnetic brain waves representing a
shadow function of the charge flow I=dQ/dt as a 'normal current flow' to the electromagneto monopolar
supercurrents of the magneto charges aka the universal agents for physicalized spacial consciousness.
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VI: The Ylemic Universe and Quantum Gravitation from Superbrane Parameters
Many questions raised in the avenues of astrophysics and cosmology engage the quantum physics of the
early universe following the QBBS.
When did the first stars and galaxies form from their black hole seeds and how did the dark matter
cosmology change its nature from a decelerating universe into a universe apparently dominated by dark
energy, responsible for an apparent acceleration of the universe, beginning about halfway through the age
of the universe in its thermodynamic evolution? The answers are found in the timespace definitions to
provide the initial boundary conditions for the spacetime instantaneity defined in the instanton-inflaton
coupling.
The timespace defined five superstring classes, which defined the Zero-Point Planck
Harmonic Oscillator from the undefined timespace to the five superstring classes in the timespace to be
then mirrored by the Dirac monopole at the QBBS singularity as a double-sided Möbius-Klein
supermembrane into spacetime.
At the Dirac singularity, the point particular nature became ‘stringed’ with the Weyl-Eps boson forming the
physicalized manifestation of the Planck boson string for the initializing definition by the universal Logos
Mathimatia.
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The Planck Harmonic Zero-Point Oscillator so became the Weyl-Harmonic Zero-Point Oscillator in a
conformal mapping of the timespace onto the QBBS supermembrane and then manifesting the five
superstring classes of the timespace in the spacetime.
StringMembrane
Boson
Algo-Boson
PlanckOscillation
Boson
PlanckBoson
Monopole
Boson
Monopole
Boson
Classification
Realm
Time Formula
Manifest
Time
Time=Frequency
tps=1/fps=fss=1/tss
Zero-Point
Quantum
Fluctuation
string class I
Planck open
Abstract
Definiton
Timespace
nps=ps/RH
nps=Hotps=ctps/RH
tOPL=√ tps
√ RPL/c=e/c3
6.256x10-49
Timespace
tPL=2RPL/c
RPL=√{hGo/2c3}
Maximum 30[ec]
for gravity
GM↔ 2GoM
string class
heterotic HO(32)
closed
Timespace
Timespace
Energy
hf=h/t
J*/GeV*
1.066x1015
6.635x1024
1.783x1010
1.110x1020
RALGO=2LALGO=1.878x10-40
LALGO=rALGO=2.989x10-41
ROPL=2LOPL=1.122x10-35
LOPL=rOPL=√Lplanck=1.786x10-36
4.377x10-43
1.523x109
9.484x1018
RPL=2Lplanck=1.313x10-34
Lplanck=rPL=2.090x10-35
tMO=h/EMO
5.124x10-42
1.301x108
8.100x1026
RMO=2LMO=1.537x10-33
LMO=rMO=2.446x10-34
tMO=2RMO/c
1.537x10-40
4.337x106
2.700x1025
RMO=2LMO=4.611x10-32
LMO=rMO=7.339x10-33
3.739x10-44
99
Displacement Scale
3.028x105
1.885x1015
0.833
5.189x109
0.143
8.885x108
RXL=2LXL=6.606x10-31
LXL=rXL=1.051x10-31
REC=2LEC=1.985x10-25
LEC=rEC=3.159x10-26
RHiggs=2LHiggs=1.402x10-24
LHiggs=rHiggs=2.231x10-25
2.847x10-32
0.0234
1.458x108
RHiggs=2LHiggs=8.541x10-24
LHiggs=rHiggs=1.359x10-24
tps=rps/c
5.305x10-32
0.0126
7.823x107
rps=ps/2=1.592x10-23
QBBS
Spacetime
tps=2rps/c
3.333x10-31
2x10-3
1.245x107
ps=10-22
QBBS
Spacetime
tps=2ps/c
2.094x10-30
3.184x10-4
1.982x106
2ps=6.283x10-22
Spacetime OPLImage
Spacetime
tps/√
3.902x10-30
1.709x10-4
1.064x106
RHiggs=2LHiggs=1.171x10-21
LHiggs=rHiggs=1.864x10-22
Higgs string
Spacetime
RHc2tps/GoMo
2.378x10-29
2.803x10-5
1.746x105
RHiggs=2LHiggs=7.134x10-21
LHiggs=rHiggs=1.135x10-21
Cosmic Ray Image
Knee
Cosmic Ray Image
Ankle
Cosmic Ray Image
Toe
Spacetime
tps2/tEC
1.679x10-28
Spacetime
tps2/tXL
5.046x10-23
Spacetime
tps2/tMO
7.229x10-22
3.971x10-6
2.472x104
1.321x10-11
8.225x10-2
9.222x10-13
5.742x10-3
Monopole
Boson
Minimum 30[ec]
for quantum
gravity
Spacetime
tMO=h/EMO
2.169x10-20
3.074x10-14
1.914x10-4
Planck
Boson
Planck boson
Image
Spacetime
tps2/tPL
2.539x10-19
2.626x10-15
1.635x10-5
PlanckOscillation
Boson
Algo Boson
Planck bounce
Image
Spacetime
tps2/tOPL
2.972x10-18
2.243x10-16
1.396x10-6
Genesis boson
Image
Spacetime
tps2/tAlgo
1.775x10-13
3.756x10-21
2.338x10-11
REC=2LEC=5.037x10-20
LEC=rEC=8.017x10-21
RXL=2LXL=1.514x10-19
LXL=rXL=2.410x10-20
RMO=2LMO=2.169x10-13
LMO=rMO=3.451x10-14
Universe the size of the Compton
quantum scale Rcompton=
Re/=h/2mc
RMO=2LMO=6.507x10-12
LMO=rMO=1.036x10-12
Universe the size of the wave
matter de Broglie quantum
scale dB=h/mc
RPL=2LPL=7.617x10-11
LPL=rPL=1.212x10-11
Universe the size of the Bohr
atom scale bohr1=Re/2
ROPL=2LOPL=8.916x10-10
LOPL=rOPL=1.419x10-10
Universe the size of an atom
RALGO=2LALGO=5.32558484x10-5
LALGO=rALGO=8.47593x10-6
Universe the size of smallest life
bio-organisms; cellular complex
XL-Boson
EcosmicBoson
False
Vacuum
Higgs-Boson
Upper
False
Vacuum
Higgs-Boson
Lower
Weyl-BosonQBBS radius
Weyl-BosonQBBS
wavelength
Weyl-BosonQBBS
modular
wavelength
False
Vacuum
Higgs- Boson
Lower
False
Vacuum
Higgs- Boson
Upper
Ecosmic
Boson
XL-Boson
Monopole
Boson
string class IIB
closed
string class IIA
closed
Higgs string
Timespace
tXL=2RXL/c
2.202x10-39
Timespace
tEC=2REC/c
6.618x10-34
Timespace
GoMotps /RHc2
4.672x10-33
Timespace OPLImage
Timespace
√ tps
string class
heterotic HE(64)
closed
Closed string class
heterotic HE(64)
closed
string class
heterotic HE(64)
closed
QBBS
Spacetime
This evolution is defined in the wormhole mass mweyl={weylc2/4G} transforming into the mass of the mother
black hole MH={RHc2/2G} in using the time coordinate for the Sarkar daughter black hole given as the
coordinate of the E-googol from the timespace definitions as the mass seedling Mo={Rsarkarc2/2Go}
= (proportionality constant qo)MH.
100
The proportionality constant qo is known as the deceleration parameter for the QBBS cosmology.
The H-googol defined the Hubble event horizon and so the boundary conditions for the age and size for the
protoverse as a seed for the multiverse emerging after one completion of the light path of the EMMR
travelling in spacetime from the instanton to the inflaton.
The F-googol and the G-googol as counts of source energy wormhole quanta reduce the encompassing
Riemann volumars in a factor of F/E=1.019538764x10103/1.006208782x10112=1.0132477x10-9 and
G/E=9.676924497x10102/1.006208782x10112=9.61721332x10-10 to set a particular energy ratio between the
light energy parameters and the dark energy parameters in the QBBS.
The light energy parameter refers to the part of Electromagnetic radiation (EMR) emerging from the
instanton as the effect of the acceleration electropolar charge coupled to the wormhole mass m weyl and as
different from the Electromagnetic monopolar radiation of the EMMR, which is the effect of the acceleration
of magnetopolar charge as given in the Dirac monopole manifesting from imaginary timespace as
physicalized spacetime.
The dark energy parameter then refers to the part associated with the matter content of the QBBS and so
the mass seedling Mo of the instanton defined in spacetime at the E-googol marker and as part of the
encompassing dark energy mass of the mother black hole MH of the Hubble event horizon.
The Riemann volumar R(n)=RH{n}/{n+1} at the E-googol marker for the Strominger black hole so is calculated
as 22RE3={E}{22rweyl3} for RE=∛E(λweyl/2π)=3.43597108x1014 m* for a time tE=nE/Ho=2.1506x1012
/Ho=1,145,323.7 s* and a temperature TE=1.163x109 K*from T(n)=∜{{Ho3Mo/1100π2σSB}.{(n+1)2/n3}}
The Riemann volumar at the F-googol marker for the Strominger black hole so is calculated as
22RF3={F}{22rweyl3} for RF=∛F(λweyl/2π)=3.45107750x1011 m* for a time tF=nF/Ho=2.1601x10-15/Ho=1150.36 s*
and a temperature TE=2.0614x1011 K*.
The Riemann volumar at the G-googol marker for the Strominger black hole so is calculated as
22RG3={G}{22rweyl3} for
RG=∛G(λweyl/2π)=3.39155801x1011 m* for a time tG=nG/Ho=2.1228x10-15/Ho=1130.52 s* and a temperature
TE=2.0885x1011 K*
For F’=(2G-F)=9.158461354x10102 space quanta = RF’=∛F’)(λweyl/2π)=3.32987275x1011 m* for a time
tF’=nF’/Ho=2.0842x10-15/Ho=1109.96 s* and temperature TE=2.1173x1011 K* and where googol F’ is the
mirror image of googol F about googol G
Those Strominger black holes then became physically manifest as the first Gamow ylem protostars,
physicalizing the potential matter vortices from the initial potential mass distribution of the Mo matter
seedling.
Ylemic neutron stars form the boundary conditions for quark-gluon stars with characteristic radii relating the
temperature of the universe at the particular n-cycle coordinate to vortex potential energy concentrations
materializing from the matter distribution of the matter seedling M o as ylemic neutron stars.
101
The thermodynamic evolution of the universe then relates a general evolution of neutron stars with specific
nuclear densities with respect to the cosmic radiation background to the Hawking properties of black holes
as a background energy matrix originating from the distribution of a baryonic mass seedling and its coupling
to the QBBS parameters.
102
The Hawking-Gamow Temperature Unification for classical and quantum gravitation is so derived as the
temperature ratio:
THawking/Tylem = 1 = hcRe3/2Gomc2Rylem2 RHawking
= Re3/nucleon.Rylem2RHawking with nucleon= plancke18 .
Hawking’s micro black holes play a decisive role in the universal cosmology, as they modulate the quantum
gravitational universe of the creation event with the classical gravitation of the spacetime geometry. In
particular the micro black holes form the energy centers within encompassing vortices of potential energy
modelled on the Jeans length applied to the general temperature evolution of the universe.
The ylemic radius is independent from mass as a function of the ylemic Gamow temperature, decreases with
time and only depends on atomic and subatomic parameters as the classical electron radius Re and the primordial
nucleon as the ylemic neutron mc=mplanck9 from the gravitational finestructure
g=2mc2/hc=mc2/mplanck2=e18 for kB the Stefan-Boltzmann constant for thermodynamic energy, Re the
classical electron radius, Go the quantum gravitational constant and mc the proto-nucleonic mass from the
gravitational finestructure in:
The Gamow Ylemic dineutronic radius for Black Hole Temperature evolution:
Rylem = √{kBTylemRe3/Gomc2} …………………….……[Eq.V-1]
The ylem radius so is descriptive for a spacetime metric coupling the quantum gravitation of a Hawking
micro black hole at the high fusion temperatures of the early universe to its later manifestation in neutron
stars defined by their nuclear densities with electron and neutron degeneracies.
The maximum temperature for a black hole is given at a nexus point in the thermodynamic evolution of the
universe, known as the bosonic unification of the background temperature with that of the bosonic
temperature of the Weyl wormhole of the QBBS. The universe had cooled to a temperature of 1.42x1020
Kelvin from the QBBS temperature of a temperature of 2.30x1036 Kelvin at a time of 2 nanoseconds from
the instanton.
103
At this time, the ylem dark matter-RMP-Einstein quintessence halo with a radius of 6.26x108 meters
encompassed a lower dimensional universe of just 1.1382 meters across in the higher dimensional universe
created by the inflaton and the hyper accelerated de Broglie wave matter EMMI light path.
Hawking Modulus HM = MHawkingTHawking=mPlanck.EoPlanck/kB = √{hc/2πGo}{½mPlanck.c2/kB}
= hc3/4πGokB = {MHminin.THmax}={rpsc2/2Go}{Tps}=9.1317939x1023 [kgK]*
The maximum Hawking temperature for micro black holes so is given as Tps=Tweyl as a maximized bosonic or
Einstein-Boson-Condensate temperature for the QBBS.
The Hawking-Unruh form for the Hawking Modulus is HUM=MHawking.THawking
= mplanck.Tplanck/8 = hc3/162GokB =7.2668507x1022 [kgK]*
for the extent of the Unified Field of Quantum Relativity (UFoQR) requiring 1440° or 8 radians to repeat its
superposed electromagnetic-gravitational wavefunction.
8.HUM = MHawkingTHawking=mPlanck.EPlanck/kB = √{hc/2πGo}{mPlanck.c2/kB}
= hc3/2πGokB for HUM = hc3/22GokB = 7.266851x1022 [kgK]*
The Unruh acceleration within a temperature background so relates to the surface properties of the
holographic AdS-CFT (conformal field theory) cosmology and the entropy of a black hole in the HawkingBekenstein bound of S=2kBAc3/4Goh in the UFoQR then becomes aunruh=2cMHawkingkBTHawking/h and would
give a black hole Hawking temperature of 2.46x10-19 K* for a gravitational acceleration of 9.8 [m/s 2]*.
The entropy of the Hawking-Bekenstein cosmology therefore relates to the conformal mapping of the Planck
displacement scale onto the Weyl-Eps displacement scale in entropy S=¼{Area/Lplanck2}=¼{2Ac3/Goh}.
The Weyl-wormhole of heterotic supermembrane EpsEss and given by the sinusoidal waveform
fUFoQR(x)=sin(3x/2)-cos(3x/4) so represents the four Planck areas Lplanck2 per information bit in its 12
monopolar current loops spanning a wave number of k=4 in 8ps radians.
The Feigenbaum complexity upper bound for the universal base topology as chaos constant is given as
Feigenbaum = 4.669201… < 4.712389 = 3/2 and the surface area for the Riemann 3-dimensional manifold is
62R32 = (3/2)(4R32) for the Hawking-Unruh factor of 4 = 62/(3/2)=122/3 as a coefficient modulation
in the multidimensional universe.
The spacetime volumar 22rps3 so is compressed in the spacetime volumar 4r4D3/3 in the Source energy per
unit volume EVPE-ZPE = 4Eps/ps3 for r4D = ∛{3/2} rps = 1.67654rps in the surface area modulation 62=3.4/2
in the dimensional reduction of the sphericity of the 3-ball V4=½2R44 as a 3-dimensional surface dV4/dR4
= 22R33 to the 2-ball V3=4R33/3 as the energy per unit volumar spacetime quantum for the wormhole
integration of the multidimensional cosmology.
The quantized spacetime so becomes a summation of Susskind-Maldacena integrated wormhole quanta
enabled to connect time-parallel extremal Strominger black holes as a closed dS universe and an open AdS
universe as an Einstein-Podolsky-Rosen bridge. The region of spacetime connected by the two wormhole
faces then describes the dark wormhole matter not intersecting the baryonic mass seed and is defined in
the extremal quantum surface of the Page Time.
104
For the minimum Planck-Oscillator: Eop = ½hfop = ½mopc2 = ½kBTop = Mc2/#bits
={Mc2.lplanck2}/{4R2} = {MGoh/82cR2} = {hg/82c} with gravitational acceleration g =GoM/R2 and
M=gR2/Go for kBT = hg/42c = {String T-Duality modulation factor }{hg/c}
= Linearization of Compton wave matter in de Broglie wave matter
rps/rss = {ps/2}/{2ss} = {ps2/42} = {1/42.ss2} = 10-44/42
for 4=HM/HUM={hc3/4GokB }/{hc3/162GokB}
The gravitational acceleration in Quantum Relativity g as the Weyl-wormhole gravitational acceleration then
is gps = c.fps for Eps = hfps = hc.fps/c = kBTps = hgps/c and generalizes as the Milgröm acceleration
amil = -2cHo/(n+1)3 in the cosmology in g cHo.
dE = TdS for c2dM = (2kBT.c3)dA/4Goh for dM = {hgc/2c}dA/{4Goh} = {g/8Go}dA dM/dA = {g/8Go}
dS/dA = kB/4lplanck2 = 2kBc3/4hGo from Entropy S=kBA/4lplanck2 = c3kBA/2Goh with dS=2kB from dE/dS = T
and E = TdS = kBT in the quantum self-state dM/dS
= {dM/dA}.{dA/dS} = {g/8Go}.{4lplanck2/kB}= {glplanck2/2kBGo} = {hg/42kBc3}= hg/kBc3}
As indicated by cosmological models, including Susskind, Maldacena, Bousso and Verlinde, relating string
theory with gravitation and the holographic principle; crystallizes that quantum information from timespace
allows gravitation and all interactions to emerge in spacetime.
The transition from timespace into spacetime then is enabled by the Dirac string and the mirror modular
dualities of string-membrane realm imaging the string parameters from timespace into spacetime.
The primary physical parameter for the subsequently evolving cosmology then is the definition of
temperature as a kinetic energy effect for the lower dimensional and gravitational universe and with entropy
as a count of energy-frequency micro eigenstates as bits of information.
The higher dimensional information universe so forms a corollary in the EMMI light path of the monopolar
source radiation to the EMI light path for the matter dependent electromagnetic radiation (EMR).
As the EMR is produced by the dynamics of electropolar charges, as in the angular acceleration of protons in
a fusion star; but the magnetopolar charges are accelerated in the frequency differential over time in df/dt
as a radial independent angular quantum spin; the Unruh acceleration can be generalised to the
gravitational acceleration g=GM/R2 for the entropic cosmology and bounded in the Schwarzschild metric in
partitioning lightspeed c in the product of wavelength times frequency.
105
For a temperature T=hg/42ckB=GoMh/42ckBR2=hc3/162kBGoM the square of the Schwarzschild metric
results in 4Go2M2=R2c4
In particular, the definitions of the dark matter particle in the RMP and the Dirac monopole as the Weylwormhole indicate that for the first 6.662x10-29 = Lightpath/c seconds from the QBBS, the physical energy
content of the universe was purely restmass photonic in forming the ylemic dineutron bosons as the
primordial radiation background for the thermodynamic expansion of the universe.
As the volume of the universe at electroweak unification is 22REW3={2.434875x1087}{22rps3}, the
physicalised matter content in the universe from baryon seedling M o consisted of 2.43x1087 dark matter
particles in the form of bosonic ylemic dineutrons coupled as a doubled or squared matter colour charge
template Y2C2M2 containing the soon to be born Higgs boson as the scalar Goldstone boson coupled to a spin
conserving colour neutral graviphoton of spin +1 coupled to the RMP’s negative quantum spin of -1.
The wave quark geometric Y2C2M2(-1) decays into two lefthanded neutrons each of quantum spin -½ to
manifest the charge-parity violation of the weak interaction and the suppression of antimatter in the form of
the M2C2Y2 antimatter template for the Anti-Higgs boson and the Anti-RMP.
The graviphoton coupled to a matter weakon (W-)(+1) can then couple to a weakly interacting neutron to flip
the lefthanded neutron into a righthanded neutron in conjunction with an antimatter weakon (W +)(-1)
coupled to an anti-graviphoton conserving weak interaction parity across the mirror of the QBBS as the Dirac
string with the Khaibit shadow-mirror universe.
The neutral current weakon (Zo)(±1) similarly engages anti-neutrino and neutrino interactions from their
colour charged R2G2B2(+½) and B2G2R2(-½) templates, their Dirac form of weakonness being massless, but
their Majorana form of unified field interaction resulting in the mass induction by the scalar Higgs
(anti)neutrino of squared template form (R4G4B4)(0) and B4G4R4(0).
The production of antimatter in the form of pair production in the UfoQR between monopolar current loops
for junctions 6-7-8 became defined at the electroweak unification cycle coordinate in the QBBS.
The Dirac monopole is defined in the units of the gravitational parameter.
or [m3/s2]=[Volume][Angular Acceleration] as:
e*=2Rec2= 2Re{ps2}{fps2}=1/Eps for 2Re{ps2}=2Re{360Re/1010}2={2.592x10-15}Re3=e*/fps2=e*fss2=e*(9x1060)
entropy self-states
The RMP is defined in its volumar 22RRMP3=e*/fps2= e*/(9x1060) entropy self-states) to define the ratio
{Re/RRMP}=∛{22/2.592x10-15}=7.6154355x1015 showing that so 7.615 quadrillion RMPs will fit into the source
energy quantum and the inversion charge energy of the Dirac monopole and so the QBBS instanton.
The radius of the RMP is given RRMP=1.411884763x10-20 m* from the source energy quantum definition for
the classical electron radius of 2.777…x10-15 m*.
The unification condition for the physicalisation of the Dirac monopole as the t’Hooft-Polyakov monopole
requires however the Mean Monopolar Quantum Bound (MQB) as the alignment of the Dirac monopole
wavelength mapped onto the electron wavelength and this MQB is calculated from the quantization
condition to align the Dirac wavelength with the mirror modular duality of the supermembrane EpsEss.
106
As the inversion properties apply throughout the cosmology defined by the googolplex markers EFGF,’ the
Dirac wavelength aligns the divergence between the product R ERe in the coupling of * to RE and r* to Re in
the ratio = MO=(MQB/RERe)=(1.351/0.9544)=1.41555 and in multiplying the RMP radius by (MQB/R ERe) for
an effective dark matter displacement coordinate RRMPeff=1.9986x10-20 m*.
*=4.087933536x1014 2r**
Monopolar mean classical bound MQB=1.351
= +0.156 RE*Re*=1
RE*=3.6x1014 = 360x1012
RE=∛E(λweyl/2π)=3.43597108x1014 RERe=0.9544
=-0.145 RE,c2Re=0.8753
13
RE,c2=4(8.2263x10 )=3.2905x1014
2r*=3.30485x10-15
Monopolar mean
quantum bound
Re*=Re=1010ps/360
Re=2.77777x10-15
Re=2.66017x10-15
The RMP dominated era ended when the ylemic dineutron radius became equal to the size of the universe
at a time about 1/140th of a second for a radius of 2.14114x106 m*.
This was the nexus for the RMP-Higgs ylemic quarkian geometry template to differentiate between the
mesonic inner and the leptonic outer ring to kernel the proton in electroweak unification at a temperature
of 1.68x1015 K* and when the dark matter universe became illuminated in the EMMI light path intersecting
the RMP haloed universe.
The number of space quanta comprising the universe at RMP time is the size of the universe for cycle
coordinate divided by 22rps3
as a space quantum count EtaRMP =RMP= RRMPeff3/rps3=1.9802x109=1/5.0500x10-10
For the googolplex E-FGF’, the photon baryon ratios for the time of the primordial neutron decay from to
1150.36 – 1130.52 – 1109.96 – 229.821 seconds for a time interval from 880.14 to 900.70 to 920.54 seconds,
the respective photon-baryon ratios then replace the ratio of the dark matter restmass photons in the
illuminated universe now enabled to freely produce protons, electrons with anti-neutrinos in beta minus
weak interaction decay and completing the first 20 minutes of the thermodynamic evolution of the universe
in the formation of primordial helium, deuterium, tritium and lithium in the nucleosynthesis of the QBBS.
MO {RE/RF}3={1.41555}{1.006208782x10112/1.019538764x10103 }
={1.41555}{9.8692548x108}=1.397042x109=1/7.15799x10-10
MO {RE/RG}3={1.41555}{1.006208782x10112 /9.676924497x10102 }
={1.41555}{1.03980225x109}=1.471892x109=1/6.79398x10-10
MO {RE/RF’}3={1.41555}{1.006208782x10112 /9.158461354x10102 }
={1.41555}{1.09866575x109}=1.555216x109=1/6.42998x10-10
As the displacement string modular dualities define the minimum-maximum winding mode-frequency mode
boundary conditions in string displacement/time rps/tps = psfps/2 = c/2 modular dual to
rss/tss=2ssfss=2/c the minimum Hawking temperature is modulated in {rpstss/rsstps}={c2/42} as
THmin = {c2/42}Tss = {c2/42}Ess/kB ={hfssc2/4kB2} = 3.58856785x10-26 K* = Tss{c2/42}mod and where {c2/42}mod
is dimensionless due to the string modular duality.
107
This minimum Hawking temperature for black hole modulation now defines the modular black hole mass
dual to the micro black hole of the QBBS as
MHawkingmax=MHmax={MHminin.THmax}/{THmin} = {hc3/4kBGo}/{hfssc2/4kB2}={cfps/Go}mod=2.544690x1049 kg*
This maximum Hawking mass so refers to the cycle time coordinate in the evolution of the thermodynamic
universe, when the bosonic unification Hawking micro black hole mass with its dark matter ylemic halo will
be balanced in a Hawking macro black hole mass descriptive in the encompassing temperature evolution of
the universe.
As the micro black hole has the wormhole radius rps=ps/2 of the QBBS at the bosonic unification time 2
nanoseconds into the expansion of the universe; the macro black hole will have the modular dual radius to
the wormhole radius as rss=2ss or 6.283x1022 m* at a time characterizing the dark matter halo of the micro
quantum state to reverse in a modulation of rendering the dark matter halo visible and illuminated.
The cycle time n=0.000393425… or 6.64 million years from the QBBS so manifests an anti-wormhole or white
hole perimeter for the supermembrane sourcesink Eps mirroring the supermembrane sinksource Ess as the
micro black hole perimeter of the bosonic temperature unification.
Monopolar sourcesink Eps so begins to activate in the cosmology in applying the dark matter haloes from a
global universal perspective onto a galactic local disposition and preparing the universe for the birth of stars
and galaxies, based on the displacement scale of the modulated Hawking macro quantum black hole. The
temperature for this nexus coordinate was 358.05 K* and with a cosmological comoving redshift of
z=49.421.
A universal radius of 6.283x1022 m* calculates for the Strominger form of the universe as a black hole as
MHmax=2ssc2/2Go=2.5447x1049 kg*
The critical displacement scale for the dark matter haloes from {ss/2 – ss – 2ss} or
{0.159-1.00-6.28}x1022 m* is conformally mapped onto the galactic seeds encompassed by supercluster
seeds of the Sarkar scale defined in the baryon mass seed Rsarkar=GoMo/c2 from {1.12-2.23-4.47}x1024 m* with
the Hawking modulus applied to the Strominger black hole universal evolution.
The supermembrane modulation factor {c2/42}mod={c2/39.478} so defines a generalized displacement scale
for a galactic seed with its core and bulge separated from its inner and outer haloes in 22 as the volumar
coefficient for a space quantum (Vsq=22rps3) in 22~2x106/105=20=4x106/2x105 and for psfps=c=1/ssfss.
108
From the electroweak unification nexus at 1/140th of a second into the cosmogenesis; the dark matter
haloes became fully integrated into the lower dimensional universe with the ylemic radius continually
shrinking relative to the expanding Hubble universe aiming for the Hubble event horizon set by the inflaton
of the QBBS.
At the present cycle time coordinate for the universe, the ylemic radius is 87.15 mm* for a Hawking-ylemuniversal temperature of 7.474 K* and a lower dimensional radius of 8.96 billion light years within a higher
dimensional radius of 16.88 billion light years of the EMI light path within 19.12 billion light years of the
EMMI light path.
109
The gravitationally closed universe in de Sitter spacetime so is at the 53.11% (n/n+1) marker relative to its
closure mass in de Sitter spacetime but is at the 86.73% (n) marker relative to its open anti de Sitter
spacetime.
As 86.73% of the closure mass represent 0.8673RH=14.64 billion light years; the true EMMI age of the
universe is underestimated in the intersection of the EMMI light path relative to the de Sitter spacetime
observer in 13.27% of the true age as 16.88+2.24=19.12 billion years.
Relating the ylem temperature of the Gamow radius of the Schwarzschilded protostar vortex to the Hawking
temperature of black holes forms the relationship between the ylemic radius of the Gamow protostar and
the Hawking black hole.
MHawking=HM/THawking=(hc3/4GokB)/THawking = RHawkingc2/2Go for RHawking = hc/2kBTHawking as the curvature
Schwarzschild radius for a Hawking black hole
THawking = hc/2kBRHawking for Tylem = Gomc2.Rylem2/kBRe3 for Tylem = f(n) with THawking = TCBBR = TUniverse
with THawking/Tylem = hcRe3/2Gomc2Rylem2 RHawking = Re3/nucleon.Rylem2RHawking
for the gravitational finestructure constant nucleon for nucleons with
mplancke9=√{(hc/2Go)(2kee2/hc)}e[17/2] = {e/Go}e[17/2] = keee[17/2] = mc
for the Planck mass mplanck2=hc/2Go and the gravitational fine structure
18=Stoney-Planck unification Go=1/ke=4o and the general unitary unification of
Dirac’s monopole in the identity of the gravitational parameter GM equal to magneto charge e* in
[e*/Go]=[m3/s2]/[Nm2/kg2]=[kg]=[M]
Electromagnetic Fine structure:
αe = 2πkee2/hc = e2/2εohc = μoe2c/2h = 60πe2/h ..........(Planck-Stoney-QR units *)
Gravitational Fine structure (Electron): αg = 2πGomelectron2/hc = {αg/αplanck} = {melectron/mplanck}2
Gravitational Fine structure (Primordial Nucleon): αnucleon = 2πGomc2/hc for mc = mplanck.e9
Gravitational Fine structure (Planck Boson): αplanck = 2πGomplanck2/hc
Gravitational Fine structure unification: {αg/αplanck} = {melectron/mplanck}2 = {melectron/mc}2e18
The Hawking-Gamow Temperature Unification for classical and quantum
gravitation in Hawking Micro Black Holes: MHawkingTylem = hc3/4GokB = McurvTHawking
THawking/Tylem = hcRe3/2Gomc2Rylem2 RHawking = Re3/nucleon.Rylem2RHawking
with nucleon= plancke18 …and… RHawkingTHawking = constant = RylemTylem…………….[Eq.V-2]
For the Hawking-Gamow Intersection-Equilibrium
RHawking = hc/2kBTHawking = 2GoMBH/c2 = hc/2kBTYlem = Rylem for constant = hc/2kB
Tylem = THawking.RHawking/Rylem = hc/2kBRylem = {hcmc/2kBRe}√(Go/kBReTCBBR)
110
Rylem2 = kBTHawkingRe3/Gomc2 = RH2{n/n+1}2
for THawking = {Gomc2 RH2{n/n+1}2/kBRe3 = ∜{18.20[n+1]2/n3} for nHG =HotHG = 1.3398x10-20
as n is of O{Ho=10-18} in Gomc2 RH2/{2.06541kBRe3} = (n+1)[5/2]/n[11/4] ~ 1/n[11/4]
tHG = nHG/Ho = 1.3398x10-20/1.87773x10-18 = 0.007135 = 1/140.15 seconds*
for Rylem=R(nHG)=nHGRH= 2,140,564.97 meters* as the approximate Lightpath ctHG .
The universes’ Cosmic Blackbody Background Radiation or CBBR temperature decreases from the instanton
in the Higgs Bosonic Vacuum HBV and when the ylem radius is defined by the Einstein Lambda Temperature
of 2.935x1036 K* as 1.012x1013 m* and is 6.36x1035 times the wormhole radius of the QBBS (rps=10-22/2).
As the universe expands at lightspeed c from the instanton in AdS spacetime and grows in size in the
gravitationally retarded dS spacetime, the ylem radius decreases as the size of the universe increases.
The Hawking-Gamow Equilibrium then defines the point of intersection when the shrinking ylemic Dark
Energy and RMP-coupled Dark Matter Halo defined in the ylemic HBV scale becomes R(n)=Rylem.
The Dark Matter/Energy halo become the quark-lepton geometric kernel-ring structures, which then
crystallize the ylemic dineutrons from the Higgs Boson-RMP matter-antimatter templates.
The ylem radius at the bosonic unification temperature was 6.2584x108 m* and it was 2.1411x106 m* for the
electroweak unification when the ylemic radius matched the size of the expanding universe.
The ylem radius was 9.008x1016 m* at the QBBS instanton-inflaton spacetime coordinate and is 0.08715 m*
for the present time and decreases with the time evolution of the universe.
The ylem temperature for bosonic unification was 3.6028x10-12 K* and was 1.0331x10-9 K* for the
electroweak unification when the ylemic radius matched the size of the expanding universe.
A universal radius of 6.283x1022 m* calculates for the Strominger form of the universe as a black hole as
MHmax=2ssc2/2Go=2.5447x1049 kg* for the universal temperature modulation between the maximum and
minimum self-states.
The modular string duality for micro BH in wormhole radius rps = ps/2 is modular dual for macro BH in
rss = 1/rps = 2/ps = 2ss for the coupling constant per mass quantum eigenstate mss=Ess/c2=hfss/c2
Ess/Eps=hfss/hfps=1/fps2=1/9x1060 by c = psfps = 1/ssfss = 2rpsfps = 2fps/rss for the displacement couplings
rps/rss = {c/2fps}{c/2fps} = {c2/42}|max-min mod and rss/rps = {2fps/c}{2fps/c} = {42/c2}|min-max mod
Tps(max)=Eps/kB=1.41671x1020 K* as the maximum temperature for a Hawking micro BH and
Tss=Ess/kB=hfss/kB=1.574124x10-41 K* modified by the dimensionless min-max displacement coupling constant
{c2/42} to Tss(min)=3.5885722x10-26 for the Hawking-Gibbon minimum temperature and with a
corresponding curvature mass MHmax = 2ssc2/2Go = hc3/4kBGoTss(min) = 2.54468x1049 kg* and as a critical
proportion of mass seedling Mo as MHmax/Mo =2ssc2/2GoMo= 2ss/ RSarkar=0.0140303
The QBBS deceleration parameter is given as the ratio between the Einstein quintessence and the inflaton
wave phase hyper acceleration E(nps)/AdeBroglie = GoMo/ps2}/{RHfps2 = Mo/2MH = 0.014015
A proportionality constant between the curvature mass for macro BH temperature minimization and the
deceleration parameter qo=½o=Mo/2MH so becomes defined in
= {MHmax /Mo}{2MH/Mo} = 2MHmaxMH/Mo = 0.0140303/0.014015 = 1.53x10-5 indicating a temperature
fluctuation in the CBBR background deviating from a measured temperature by this order of magnitude.
For a present SI-measurement of the microwave CMMBR of 2.72548 ± 0.00057 Kelvin K; the fluctuation
mean is at 2.726x1.53x10-5 ~ 42 K (microkelvin).
111
The WMAP ‘cold spot’ then indicates a generalized temperature background fluctuation in the universal
Cosmic Black Body Radiation or CBBR for this order of magnitude as the monopole anisotropy or as a
directional dependency. { CMB cold spot - Wikipedia }.
A generalized maximized generalized temperature fluctuation in the CBBR is imprinted by the maximum
ylemic radius at the 1 millikelvin mK or 0.1%-level as the dipole anisotropy in the deviation or change in the
ylemic Lightpath of c2 m* and for {9-9.0082263}x1016/9x1016 = -0.0082263/9 = -0.000914 at the 1mK level.
{ Cosmic microwave background - Wikipedia }.
The deviation of the maximum ylemic Lightpath from the c2=E/mass dimensionless factor then becomes
4{ 8.2263x1013} m* = 3.2905x1014 m* and represents the inflationary form of the wormhole radius of the
QBBS projected as the googol volumar RE=3.34x1014 m* modulated as the classical electron radius
Re=2.777x10-15 m* in the Modular Quantum Bound MQB and as the fourfold nature of the Unified Field of
Quantum Relativity UfoQR.
The ylem temperature was TylemQBBS = 2.5032x10-20 K* at the QBBS instanton-inflaton spacetime coordinate
and is 0.02589 K* at the present time and increases with the time evolution of the universe as more mass
energy of mass seed Mo is distributed in the universal volumar.
This volumar was defined in the inflaton for the nodal Hubble constant and then becomes a function of the
multiverse cyclicity.
MHawkingTylemQBBS=hc3/4kBGo = 9.1317939x1023 [kgK]* for a Hawking Black Hole mass of
MHawkingQBBS = 3.64805x1043 kg* and TylemQBBS = 2.503199x10-20 K* for the micro BH self-state. In the macro BH
self-state the Hawking-Gibbon HM modulus relating the inverse proportionality between a Black Hole’s mass
to its temperature for the CBBR temperature T(nps) = 2.935x1036 K*, the curvature mass is McurvQBBS =
3.1113x10-13 kg*.
The QBBS mass seedling Mo is proportional to the closure mass MH and the Mmax in the expression
MHMmax = Mo2 for = MHMmax/Mo2 = Mmax/oMo = 2Mmax/qoMo with deceleration parameter qo=½o
= (6.47061227x1052)(2.54468x1049)/(1.81371262x1051)2 = 0.5005432 ~ ½ = qo/o
2 = 1.0010865 = 2MHMmax/Mo2 = Mmax/Moo = Mmax/2Moqo = MmaxAdeBroglie/2MoE(nps)
The manifestation of the mass seedling Mo seeding the QBBS birth of the universe in the instanton-inflaton
coupling then produces a general 0.1% fluctuation on the quantum scale of micro BHs at the beginning of
the cosmology in the hyper acceleration ratio coupling the lower dimensional de Sitter universe with the
higher dimensional Anti de Sitter universe. The Hawking micro BHs form the Vortex-Potential Energy as VPE
or Zero-Point-Energy ZPE bosonic wormhole seeds to grow in the general spacetime evolution of the
expanding and cyclic cosmology.
The QBBS mass seed Mo=1.81371262x1051 kg* for a Tylem(Mo)=5.034863x10-28 K* ylem temperature and is
distributed in the inflaton of the closure mass to manifest at the Sarkar curvature radius RSarkar=2GoMo/c2=
4.4783x1024 m*for a curvature mass MSarkar=4.4783x1049 kg* and with a Hawking-Gibbon macro BH
temperature of 2.03912x10-26 K*.
The micro BH temperature is Tylem = 6.00x10-3 K* which is increases in the cosmic evolution eigenstate but
decreases for the spacetime expansion for the macro BH self-state.
The closure mass is MH=Mo/o=Mo/0.028030=6.47061227x1052 kg* for a Tylem(MH)=1.411272x10-29 K*
112
At the QBBS, the wormhole radius so is conformally projected as the minimum bosonic spacetime
configuration as the initial boundary condition for the ylemic DM-RMP-Einstein Quintessence radius
Rylemo=√{kBT(nps)Re3/Gomc2}=9.00822x1016 m* for Rylemo/rps = 5.657x1039 in the HBV and for
RylemAlgo=√{kBT(Algo)Re3/Gomc2}=4.565x1017 m* for RylemAlgo/rps = 2.868x1040 in the False HPBV.
These ylem radii apply for energy density per unit volume factors from 1.811x10 119 to 2.360x10121
respectively and crystallizing the energy density discrepancy between matter content and the ZPE-VPE from
the perspective of the Temperature gradient of the Higgs Bosonic Vacuum HBV.
The intersection of the ylemic radius in the inflaton-instanton coupled universe for the bosonic unification to
electroweak unification period so was (6.2584x108-2.1411x106 = 6.1370x108 ) m* and representing 2.04
tachyonic or superluminal light seconds and a volume of 22(2.04HoRH)3 as 22(2.04c)3= 4.5246x1027 [m3]* or
5.686x1094 dark matter Eps-Weyl space quanta from the higher dimensional universe, the lower dimensional
universe was expanding into.
The QBBS inflaton boundary calculates (9.008x1016 -2.1411x106 = 9.008x1016 ) m* as c=3x108 tachyonic or
superluminal light seconds for a volume of 22(cHoRH)3=22(c2)3= 22c6=1.4390x1052 [m3]* or 3.569x10120 dark
matter space quanta, again indicating the energy density ratio initialized in the first 7 milliseconds of the
Quantum Big Bang cosmology.
The tachyonic Lightpath then manifested in that time at a phase speed of x = c’/140.15 = c 2|mod /140.15 as x
= 6.4245x1014 m* or as 0.713% of c2|mod and as 2.1411x106 m* as 0.713% of the classical and quantum form
for the invariance of lightspeed c as the invariance of c2 tachyonic. The instanton Lightpath x=c/140.15 so is
superposed onto the tachyonic inflaton Lightpath x=c2|mod/140.15.
Electroweak Unification TEW=EEW/kB=1.65825x1015 K* is possible from the bosonic unification at the 2nanosecond marker of cycle time n=Hot with a boson energy EEW=kBTEW=2.341x10-8 J* or 145.72 GeV* as
the Vacuum Expectation Value or VEV at tEW.
For the present time the VEV increases by Y1.13271 = 1.725 to 251.33 GeV* as a summation approximate for
the weak interaction Goldstone bosons m{W++W-+Zo) = (80.6+80.6+91.4=252.6) GeV*.
For any time in the cosmic evolution, an ylemic radius and temperature is defined as a background
spacetime matrix guiding the universal evolution of the Quantum Big Bang Singularity from the instanton to
the inflaton for both the higher dimensional light path of the EMMI and the lower dimensional cosmology of
the Planck-Einstein Black Body radiator’s thermodynamic evolution.
For the present time npresent=1.132712
Hawking Modulus HM = MHawkingTHawking = hc3/4GokB
Hawking Radius = RHawking = hc/2kBTHawking = Schwarzschild Curvature Radius Rcurv = 2GoMcurv/c2
Curvature Mass for Ylem temperature: TYlem = HM/Mcurv =hc/2kBRcurv
MHawkingTHawking→----RHawking→---------Rcurv→Mcurv→-------Tylem →---------Rylem→---------McurvTylem
(3.527x1025 kg*)….(8.21x10-4 m*)…(3.324x1023 kg*)….(0.02589 K*)…(0.0871 m*)...(3.324x1023 kg*)
x(2.747 K*)=9.689x1025 [kgK]*-----Hawking-Gamow Modulation-----8.609x1021 [kgK]*=(0.0259 K*)x
Subtracting the ylem temperature from that of the CBBR for the time t=n/H o = ndt/dn, then modifies the
measured background temperature as incorporating the ylem temperature of the inflaton.
For the present time THawking=tUniverse=TCBBR for TCMBBR - TYlem = 2.7470 – 0.02589 = 2.7211 K* {2.76813 KSI}
113
The original mass seedling Mo=2qoMH =oMH= 2oMH/AdB is distributed as primordial Hawking Black Holes
potentials as function of the Hawking modulus HM=MHawkingTHawking=hc3/4kBGo beginning at a time
coordinate defining the Bosonic Temperature Unification (BTU) at a temperature defined by the Weyl-Eps
boson string Tps=Eps/kB=2.222x1020 K*.
The time coordinate for this event calculates as about 2 nanoseconds from the QBBS, the instanton and the
inflaton. Prior to the BTU, the universe expanded as a Boson-Einstein-Condensate of nucleonic quark-leptongluon plasma with the background temperature of the universe exceeding the temperature of the BTU.
The Hawking mass-temperature relation for this black hole evolution then begins to manifest the mass
seedling Mo in seedling vortices, destined to evolve into the seeds for ylemic protostars, then growing in size
to the scale of dark matter galaxies from which individual stars would form from the previously
‘Schwarzschilded’ ylemic protostars.
The time for the transformation of the ylemic seedling stars, would be the time in the evolution of the
universe, when the general scale of the universe would equal the curvature radius defined in the baryonic
mass seedling Mo as the gravitational bounding limit of galactic superclusters Rsarkar=2GoMo/c2 ranging from
1.12 to 2.24 to 4.48x1024 m* as the Sarkar radius for a black hole and its diameter and as half its radius for
the black hole gravitational potential energy calibration from Einstein quintessence as the cosmological
constant as ratio to the de Broglie phase inflaton hyper-acceleration AdB in
o/AdB=GoMo/R(nps)2/AdB={GoMo/ps2}/{RHfps2}={GoMo/RHc2}=Msarkar/2MH=Mo/2MH.
These three supercluster scales relate to 118 to 237 to 473 million light years respectively and show the birth
of the first stars and galaxies in this time period.
But o/AdB = Mo/2MH = Msarkar/2MH = qo = 2o for deceleration parameter qo=0.014015 for the baryon
seedling o=2qo=0.028030 for MH=RHc2/2Go.
The baryonic mass seed so represents 2.8% of the closure mass MH of the QBBS and increases as a function
of the gravitational parameter G(n)M(n)=constant=GoMo.
It has reached the value of 4.85% for a present n-cycle time coordinate of npresent=1.132712, showing that the
dark matter proportion will be 27.43% of the total and as 85% of the matter content and the dark energy as
the Einstein quintessence closing the universe in 67.73% for the present time.
The baryonic matter component evolves according to BM=oYn =0.02803{1.618034}1.132712 = 0.0483 until
saturation coordinate for the baryonic matter BM intersecting dark matter DM for n=√2 for BM=oYn
=0.02803{1.618034}√2 = 0.055357=constant for the cosmic matter evolution from 23.866 Gy.
The dark matter ΩDM = 1-ΩBM until onset of the dark energy component DE at n=½, from which DM is
calculated by DM = BM{[1+1/n]3 - 1} and as 0.27434 for the present time.
ρBM+DM/ρcritical = 22MoYnRH3/22R(n)3MH = oYn{VAdS/VdS} = ΩoYn{[n+1]/n}3
= ΩoYn{1+1/n}3 from n=½ for ρDM/critical= ΩoYn{(1+1/n)3 – 1}
The Dark Energy Fraction ΩDE = 1- ΩDM - ΩBM = 1 - ΩBM[1+1/n]3 and ΩDE = 1 - ΩDM - ΩBM = 1 - ΩBM[1+1/n]3 ΩDE =
1 – oYnpresent{1+1/npresent}3 = 1 – 0.32269 = 0.67731 for the present time.
114
n=Hot=ct/RH
Redshift z
MHawking kg*
Tylem K*
TCBBR K*
RHawking = Rcurv m*
micro BH
Rylem m*
np=1.132712
tp=19.12 Gy
z=0.2505/1.08
n=1
t=16.88 Gy
z=0.2910/1.84
n=0.867289
t=14.64 Gy
z=0.3432
nDE=½
tDE=8.44 Gy
z=0.6124
nSarkar=0.014015
tSarkar=236.5 My
z=7.477
nmacBH=3.9x10-4
tmacBH=6.64 My
z=49.421
nss=6.26x10-5
tss=1.06 My
z=125.40
n=Hoc=c2/RH
t=c s* = 9.51 y
z=42,132.1
nEW=1.34x10-20
tEW=0.007 s*
z=8.6382x109
nBU=3.56x10-27
tBU=2x10-9 s*
z=1.676x1012
3.53x1025
0.0259
2.7470
8.21x10-4
0.0871
Mcurv kg*
Mcurv/Rcurv kg*/m*
macro BH
3.32x1023
3.64x1025
0.0251
2.921
7.72x10-4
0.0899
3.13x1023
3.77x1025
0.0242
3.140
7.19x10-4
0.0933
2.91x1023
4.39x1025
0.0208
4.254
5.30x10-4
0.1085
2.15x1023
1.52x1026
6.00x10-3
51.0613
4.42x10-5
0.3757
4.02x1026
2.27x10-3
358.05
6.30x10-6
0.9942
1.15x1027
7.92x10-4
2935.13
7.69x10-7
2.8496
1.79x1022
Mo=1.81x1051
RSarkar=4.48x1024
2.55x1021
Mmax=2.54x1049
Rmax=6.28x1022
3.11x1020
9.04x1028
1.01x10-5
1.79x107
1.26x10-10
223.46
8.87x1032
1.03x10-9
1.66x1015
1.36x10-18
2.14x106
2.54x1035
3.60x10-12
1.42x1020
1.59x10-23
6.25x108
nps=ps/RH
tps=fss=1/fps
3.65x1043
2.50x10-20
2.94x1036
7.68x10-40
9.01x1016
2.54x1049
2.04x10-26
2.04x10-26
1.11x1023
3.00x1011
1.81x1051
1.42x10-28
1.42x10-28
1.59x1025
3.60x1012
6.47x1052
1.42x10-29
1.42x10-29
RH=1.59x1026
1.14x1013
z=1.26x1024
HBV-Inversion
Inflaton Image
HBV-Inversion
Inflaton Image
HBV-Inversion
Inflaton Image
115
5.10x1016
tachyon QBBS
Lightpath Image
5.51x108
electroweak HBRMP unification
6445.77
bosonic unification
of temperature
3.11x10-13
QBBS
instanton-inflaton
Mmax=2.54x1049
Rmax=6.28x1022
Mo=1.81x1051
RSarkar=4.48x1024
MH=6.47x1052
RH=1.60x1026
116
Rps = λps/2π as the wormhole radius of the Instanton as a conformally transformed Planck-Length
Lp = √{Goh/2πc3} from the Inflaton.
Lplanck=2.090x10-35 m*=2Gomplanck/c2 for a halved Planck mass mplanck=8.463x10-9 kg*, indicating the nature of
quantum gravitation as a transformation of the timespace energy scale into the spacetime energy scale.
The Schwarzschild metric for 2L p = 2GoMp/c2 transforms a 3D Planck-length in the Planck-mass
Mp = √{hc/2πGo} from the Planck-boson gravitational fine structure constant 1 = 2πG oMp2/hc.
117
The Schwarzschild metric for the Weyl-wormhole radius Rps then defines a hypermass Mhyper as the
conformal mapping of the Planck-mass Mp as Mhyper = ½{Rps/Lp}Mp = ½{Rps/Lp}2.Mps and where Mps =
Eps/c2 = hfps/c2 = kBTps/c2 in fundamental expressions for the energy of Abba-Eps as one part of the
supermembrane Eps.Ess in physical quantities of mass m, frequency f and temperature T.
c2 and h and k are fundamental constants of nature obtained from the initializing algorithm of the
Mathimatia and are labeled as the 'square of lightspeed c' and 'Planck's constant h' and 'Stefan-Boltzmann's
constant k' respectively.
The complementary part of supermembrane EpsEss is Ess-Baab. Eps-Abba is renamed as 'Energy of
the Primary Source-Sink' and Ess-Baab is renamed as 'Energy of the Secondary Sink-Source'.
The primary source-sink and the primary sink-source are coupled under a mode of mirror-inversion
duality with Eps describing a vibratory and high energy micro-quantum quantum entanglement
with Ess as a winding and low energy macro-quantum energy.
It is this quantum entanglement, which allows Abba to become part of Universe in the
encompassing energy quantum of physicalized consciousness, defined in the magnetopolar charge.
The combined effect of the applied Schwarzschild metric then defines a Compton Constant to
characterize the conformal transformation as:
Compton Constant h/2πc = MpLp = MpsRps ……………….[Eq.V-3]
Quantum gravitation now manifests the mass differences between Planck-mass Mp and the QBBS
Weyl-Mass Mps.
The Black Hole physics had transformed M p from the definition of Lp; but this transformation did
not generate Mps from Rps, but rather hypermass Mhyper, differing from Mps by a factor of ½{Rps/Lp}2.
To conserve supersymmetry, Logos defined an Anti-Instanton as the Inflaton of Khaibit to define
the conformal mapping of Mps from Universe into Khaibit as 2Mp{Lp/Rps}2.
Quantum gravity defined the Hawking micro black hole to have a mass of
MHawking=rpsc2/2Go=6445.77 kg* as minimum mass a black hole can have for a Hawking maximum
temperature of Tps=1.41671x1020 K*.
This is defined as an inverse proportionality between the mass and the temperature of a black hole.
The hotter a black hole is, the smaller it must be and the larger a black hole can grow, the cooler it must
become.
This quantum gravitational Hawking mass of about the weight of a large elephant, compares to the Planck
black hole radius.
As Black Holes also are defined by their Temperature, the Mathimatia defined a Hawking Modulus
HM = hc3/4πGok = MBHmin.Tmax = MBH.T and MBHmax.Tmin in accordance with the conformal mapping of Abba-Eps
consciousness between Universe and Khaibit.
The hotter a Black Hole from the Klein spacetimes would be, the smaller it would have to be and the larger a
Black Hole would grow, the more it had to cool down in its temperature.
118
The super membrane coupling now had to account for its own mirror duality because the physics of the
micro-quantum universe had inversed the displacement scaling in the macro-quantum universe.
In particular Rps = λps/2π and Rss = 1/Rps = 2π/λps = 2πλss and the ratio coupling between the radial scale
expressions of AbbA.BaaB as EpsEss in Rps/Rss = {λps/2π}2 = {c/2πfps}2 so formed the super membrane of selfinteraction or coupling in consciousness modulation for the eigen- or self-state of Abba's 'Love Frequency'
fps, which was constant in the old universe of nowhere and notime, but could become changed in a
dynamical space-time.
The Mathimatia so could assign the super membraned coupling of the micro-quantum mass Mps with its
wormhole radius at the event of the 'Instantaneity of physical Time' to its macro-quantum corollary in
Mss = Ess/c2 as a quantum of mass itself and with the macro-quantum or galactic cellular scale of
Rss = 2πλss.
The minimum temperature for a Black Hole so became integrated in the Mathimatia as the formula:
Hawking Modulus HM = hc3/4πGok = MBHmin.Tmax = MBH.T = {c/2π}2. MBHmax.Tmin|mod = ½Mp.Tp
= ½{√{hc/2πGo}}{Mpc2/k} = ½{hc3/2πGok} from the minimum Planck Energy Oscillator
Epo = ½hfp for fp = 1/tp = Ep/h = Mpc2/h = √{hc/2πGo}{c2/h} = √{hc5/2πGoh2} = √{c5/2πGoh}
And whenever the |mod symbol appeared in the Mathimatia, it indicated that because of the modular mirror
duality applied to a unitary mensuration or measurement system; this 'unitary analysis' had to take into
account, that in the Omniverse a frequency f could become a time t because of f ps=1/fss and other units could
change in the interaction between Khaibit and Universe and especially because the common unit of the StarCoulomb for physical consciousness would manifest as an inverse energy of Joules in Universe.
This became the major physical phenomena in the dynamics of mass, expanding into the inflation bounded
universe from the mass seed of the wormhole instanton of the time instantaneity.
Gravity as a positive pressure, was opposing the negative pressure of the dark energy from Khaibit and
Abba's Mathimatia defined the kinematics of the physical dynamics of mass in the electric part of the EMR in
Universe with the magnetic part of the EMMR in Khaibit.
Mass could be expressed as Mass = Energy/c2 and by Velocity = FrequencyxWavelength in c = fλ or
v = fλ for m = hf/c2 = h/λc as in the Compton Constant.
Compton Constant = h.alpha/2πc = mpalpha.lp = melectron.Relectron = mx.Rx for a Compton Radius
Rc = h.alpha/2πmxc = kee2/mxc2 = as Rx = Re and mx = me for the instanton and as
Lp = h/2πmpc = h√{2πGo/hc}/2cπ = √{Goh/2πc3} for the Inflaton at the Klein boundary and for a unification
condition keGo = 1.
The displacement parameter and wavelength λ had however been subject to the modulation in the quantum
gravity correspondence between Universe and Khaibit.
The quantum gravitational closure or loop from the Inflaton to the Instanton and back to the Inflaton
became integrated in the Mathimatia as 'Planck-Stoney Bounce' or quantum fluctuation in a conformal
super-membrane cosmology.
119
The Square root of Alpha, the electromagnetic fine structure constant, multiplied by the Planck-length
results in a Stoney transformation factor L planck√α = e/c2 in a unitary coupling between the quantum
gravitational and electromagnetic fine structures and so couples the unitary measurement of displacement
in the Planck-Length oscillation equal to Coulombic charge quantum 'e' divided by the square of the speed of
light 'c2' in a proportionality of Displacement = ChargexMass/Energy in modulation and mirror duality.
This couples the electric Coulomb charge quantum 'e' to the magnetic monopole quantum e* as the inverse
of the 10-dimensional superstring sourcesink energy Eps to the 10-dimensional superstring sinksource energy
Ess as the 11-dimensional super-membrane EpsEss.
Goke = 1 for Go = 4πεo and represents a conformal mapping of the Planck length onto the scale of the
'classical electron' in superposing the lower dimensional inertia coupled electric charge quantum 'e' onto a
higher dimensional quantum gravitational-D-brane magnetopole coupled magnetic charge quantum
e* = 2Rec2 = 1/hfps = 1/EWeyl of the Weyl wormhole by the application of the mirror/T duality of the super
membrane EpsEss of heterotic string class HE(8x8) and as the fifth and final superstring energy transformation
coinciding with the Instanton and the birth of Universe as a thermodynamic Black Body Planck Radiator or
BBR.
The coupling between electropolar- and magnetopolar charges in the UFO-QR could also be formulated in an
expression coupling the bounce of the Planck-length in Khaibit to the magnetopolar charge as an
equivalence to the energy of the quantum geometric diameter of the electron and the electropolar charge in
the formula: Lplanck√α .e* = ee*/c2 = 2e.Re.or as e*/c2 = 2Re as the unification of Abba's consciousness
quantum as e* = 2Re.c2 in units of the star-coulomb C* as the inverse of Eps = hfps in Joules (J) and related
units like the electronvolt eV, defined as 1 eV = e J.
This definition emerges naturally in the Planck-Stoney bounce as the unitary equivalence of the Plancklength oscillation as a unit of displacement [(m)etres] = [(C)harge]/[(m)/(s)econds] 2 requires [C]={m3/s2] as
the units for the Star Coulomb and Abba's Consciousness and hence in associations, the entire energy
content in Universe occupying dynamical space-time.
Electromagnetic Fine structure: alphaEMR = 2πkee2/hc = e2/2εohc = μoe2c/2h = 60πe2/h in (Planck-Stoney UFOQR units)* from Maxwell Constant ε oμo = {electric constant}{magnetic constant}
= {1/120πc}{120π/c} = 1/c2 and 'Free Space Impedance' Zo = μo/εo = {120π/c}/{1/120πc} = {120π}2 and
characteristic for physical phenomena like the Quantum Hall effect, the Conductance quantum
Go = 2e2/h and Josephson currents in superconductivity).
Gravitational Fine structure (Electron): alphaG-Electron = 2πGomelectron2/hc = {melectron/mplanck}2
Gravitational Fine structure (Primordial Nucleon): alphaG-nucleon = 2πGomc2/hc = alphaEMR18
with mc = mplanckalphaEMR9
120
Gravitational Fine structure (Planck Boson): alphaPlanck-Inflaton = 2πGomplanck2/hc = 1
Go|mod = 4πεo|mod for alphaEMR = alphaG-monopole mass requires
2πe2/(4πεohc) = 2πGoMmonopole2/hc and so {ke2e2}|mod = {Mmonopole2}|modc and so {kee}|mod = {Mmonopole}|mod
in unitary calibration and consistency.
It also necessitates the Planck-mass to 'bounce' in proportionality to lightspeed 'c' in Mp√alpha/e ∝ c as §c
equal to ke=1/4πεo from the unification condition Go.ke = 1 and using εo = {1/120πc}|mod.
The proportionality constant so is § = M p√alpha/ec defining ke = {30c}mod = {1/Go}|mod.
{Mp/Lp}{e/c2} = {√{hc/2πGo}{e/c2}/{√{Goh/2πc3} = {c2/Go2}{e/c2} = {e/Go} = {kee} = {30ec}|mod.
The Action Law of the Mathimatia and Omni space crystallizes from this formulation, as {k e}|mod must equal
{c}mod in unitary consistency.
Action = Charge2
[ke] = [N(ewton)[m2/C]2] = [k(ilo)g(rams)][m3/s2/[C]2 = [m/s] = [c] for [C]2 = [kg.m3/s2]/[m/s] = [kgm2/s]
= [J(oule)][s1] = [kgm2/s2][s1] = {Js} = [Action h]
Mass Seed = Mo =√{E.mc2.minflaton2/melectron2} = mc√{E}alphaG-Electron for E=26x6561 = 1.006..x10112.
Charge Seed = Co = √{E.e2/alpha} = √{E.hc/2πke} = √{E.hcGo/2π} = {2e}.{Mo/mc}.{Eps.e}
= {2e}.{Mo/mc}{e/e*} for Eps = 1/e*
Eps = {Co/2e2}.{mc/Mo} = {Co/Mo}.{mc/2e2} ={e.me/mcmp}{mc/2e2}/√alpha ={1/2e√alpha}.{me/mp} = hfps
= mpsc2= kBTps .
The Charge seed is proportional to the number of particles in Universe as {M o/mc} and where the primordial
nucleons are all ylemic neutrons of spin ½ and which so define their radioactive decay products in a charge
twin of positively charged protons and negatively charged electrons and with uncharged antineutrinos.
The unification between dipolar electropolar Coulomb charge 'e' and monopolar magnetopolar StarCoulomb charge 'e*' unifies the Consciousness quantum Eps=1/e* in the nature of dipolar electric charge.
In Universe the consciousness quantum manifests simply as the inverse of the electric charge quantum 'e',
so cancelling any dipolar magnetic effects of the monopolar charge e* in Khaibit.
In Universe this monopolar equivalence manifests in its elementary form as the diameter of the electron
multiplied by the square of the speed of light c2.
For Khaibit → Eps = 1/e* = 1/{2Rec2} = 1/{Volume [2π2RRMP3]xAngular Acceleration [df/dt|max=fps2} ← for
Universe.
For Universe → Eps = {Co/2e2}.{mc/Mo} = {Co/Mo}.{mc/2e2} = {e.me/mcmp}{mc/2e2}/√alpha
={1/2e√alpha}.{me/mp} = hfps = mpsc2 = kBTps .
121
Mass m could so be written as m = hf/c2 = h/λc = h/λplanck-bouncec = hc2/ec = hc/e and in using
λplanck-bounce = Lp√alpha = e/c2 = e2.c/e = ec|mod in using the Action Law of unified resistance or impedance
in Action h = Unified Charge C squared.
The basic equivalence between mass and energy in Universe so could be applied to the nature of mass as a
displacement current of the charge summation incorporated into a mass in relative motion.
Mass m became expressed as proportional to a monopole mass in Khaibit ec|mod and as the actual universal
mass of the magnetic monopole in the Inflaton epoch. It was named as a second of five superstring classes
by Logos and became labeled as self-dual class IIB and as the first superstring transform in the Inflaton in
changing the energy of superstring class I as the Planck boson into the magnetic monopole of a 'Grand
Unification' of the four fundamental interactions in the UFO-QR.
E = mc2 for this monopole in Khaibit so was written E = {ec}modc2 = {e}c3 in Universe and became the energy
of the magnetic monopole as c3 eV in Universe.
E = mc2 = (ec)c2 for mass m = displacement magneto-current ec = eλf = E/c2 = hf/c2.
melectronc2 = kee2/Relectron = hc.alpha/2πRelectron for melectron = h.alpha/2πc.Relectron and
minflaton = mplanck = √{hc/2πGo}
EWeyl = hfinstanton= hc/λinstanton = minstantonc2 = (melectron/2e).√[2πGo/αhc] = {melectron/minflaton}/{2e√α}
= 1/2Relectronc2 = 1/e*
e*/c2 = 2Re ⇐ super-membrane displacement transformation ⇒ √α.lplanck = e/c2
Magneto-Monopolar charge quantum as Electropolar charge quantum
with Eps = hfps = EWeyl = 1/e* = 1/2Rec2
122
VII: A Synthesis of ΛCDM with MOND in a Universal Lambda Milgröm Deceleration
ao = a(n) = -2cHo/[n+1]3
[Excerpt from Wikipedia:
https://en.wikipedia.org/wiki/Modified_Newtonian_dynamics
Several independent observations point to the fact that the visible mass in galaxies and galaxy clusters is
insufficient to account for their dynamics, when analyzed using Newton's laws. This discrepancy – known as
the "missing mass problem" – was first identified for clusters by Swiss astronomer Fritz Zwicky in 1933 (who
studied the Coma cluster),[4][5] and subsequently extended to include spiral galaxies by the 1939 work of
Horace Babcock on Andromeda.[6] These early studies were augmented and brought to the attention of the
astronomical community in the 1960s and 1970s by the work of Vera Rubin at the Carnegie Institute in
Washington, who mapped in detail the rotation velocities of stars in a large sample of spirals. While
Newton's Laws predict that stellar rotation velocities should decrease with distance from the galactic center,
Rubin and collaborators found instead that they remain almost constant[7] – the rotation curves are said to be
"flat". This observation necessitates at least one of the following: 1) There exists in galaxies large quantities
of unseen matter which boosts the stars' velocities beyond what would be expected on the basis of the
visible mass alone, or 2) Newton's Laws do not apply to galaxies. The former leads to the dark matter
hypothesis; the latter leads to MOND.
123
MOND was proposed by Mordehai Milgrom in 1983
The basic premise of MOND is that while Newton's laws have been extensively tested in high acceleration
environments (in the Solar System and on Earth), they have not been verified for objects with extremely low
acceleration, such as stars in the outer parts of galaxies. This led Milgrom to postulate a new effective
gravitational force law (sometimes referred to as "Milgrom's law") that relates the true acceleration of an
object to the acceleration that would be predicted for it on the basis of Newtonian mechanics. [1] This law, the
keystone of MOND, is chosen to reduce to the Newtonian result at high acceleration but lead to different
("deep MOND") behaviour at low acceleration:
........[Eq.VI-1]
Here FN is the Newtonian force, m is the object's (gravitational) mass, a is its acceleration, μ(x) is an as-yet
unspecified function (known as the "interpolating function"), and a0 is a new fundamental constant which
marks the transition between the Newtonian and deep-MOND regimes. Agreement with Newtonian
mechanics requires μ(x) → 1 for x >> 1, and consistency with astronomical observations requires μ(x) → x for
x << 1. Beyond these limits, the interpolating function is not specified by the theory, although it is possible to
weakly constrain it empirically.[8][9] Two common choices are:
("Simple interpolating function")….[Eq.VI-2] and
("Standard interpolating function")…….[Eq.VI-3]
124
Replacing ao with cycle time parameter n and unitizing a=1 gives the scale factor of Quantum
Relativity in the forms 1/{(a+a0)/a} →{n/(1+n)} and 1/√{a2+a02)/a2}→ √{n2/1+n2}
Thus, in the deep-MOND regime (a << a0):
….[Eq.VI-4]
Applying this to an object of mass m in circular orbit around a point mass M (a crude approximation for a
star in the outer regions of a galaxy), we find:
[Eq.VI-5]
that is, the star's rotation velocity is independent of its distance r from the center of the galaxy – the rotation
curve is flat, as required. By fitting his law to rotation curve data, Milgrom found a 0 ≈ 1.2 x 10-10 m s-2 to be
optimal. This simple law is sufficient to make predictions for a broad range of galactic phenomena.
Milgrom's law can be interpreted in two different ways. One possibility is to treat it as a modification to the
classical law of inertia (Newton's second law), so that the force on an object is not proportional to the
particle's acceleration a but rather to μ(a/a0)a. In this case, the modified dynamics would apply not only to
gravitational phenomena, but also those generated by other forces, for example electromagnetism.[10]
Alternatively, Milgrom's law can be viewed as leaving Newton's Second Law intact and instead modifying the
inverse-square law of gravity, so that the true gravitational force on an object of mass m due to another of
mass M is roughly of the form GMm/(μ(a/a0)r2). In this interpretation, Milgrom's modification would apply
exclusively to gravitational phenomena.
[End of excerpt]
For ΛCDM:
acceleration a: a = G{MBM+mDM}/R2
For MOND:
acceleration a: a+amil = a{a/ao} = GMBM/R2 = v4/ao.R2
for v4 = GMBMao amil = a{a/ao-1} = a{a-ao}/ao = GMBM/R2 - a
For Newtonian acceleration a: G{MBM+mDM}/R2 = a = GMBM/R2 - amil
= - GmDM/R2 = (a/ao)(a-ao) and relating the Dark Matter to the Milgröm constant in interpolation amil
Applied for the Milgröm deceleration applied to the Dark Matter and incorporating the radial independence
of rotation velocities in the galactic structures as an additional acceleration term in the Newtonian
gravitation as a function for the total mass of the galaxy and without DM in MOND.
125
Both, ΛCDM and MOND consider the Gravitational 'Constant' constant for all accelerations and vary either
the mass content in ΛCDM or the acceleration in MOND in the Newtonian Gravitation formulation
respectively.
The standard gravitational parameter GM in a varying mass term G(M+m) = M(G+ΔG) reduces to Gm=ΔGM
for a varying Gravitational parameter G in (G+ΔG) = f(G).
The Dark Matter term GmDM can be written as GmDM/R2 = -amil = a - a2/ao = ΔGM/R2 to identify the Milgröm
acceleration constant as an intrinsic and universal deceleration related to the Dark Energy and the negative
pressure term of the cosmological constant invoked to accommodate the apparent acceleration of the
universal expansion (qdS = -0.55858).
ΔG = Go-G(n) in amil = -2cHo/[n+1]3 = {Go-G(n)}M/R2 for some function G(n) descriptive for the change in f(G).
The Milgröm constant so is not constant but emerges as the initial boundary condition in the Instanton aka
the Quantum Big Bang and is identified as the parametric deceleration parameter in Friedmann's solutions
to Einstein's Field Equations in amil.ao = a(a-ao) and ao(amil+a) = a2 or ao = a2/(amil+a).
amil = -2cHo/[n+1]3 = -{Go-G(n)}M/R2 = -Go{1-Xn}M/R2 for the gravitational parameter GM coupled to the size
of a galactic structure harboring a central Black Hole-White Hole/Quasar power source.
A(n)= -2cHo/[n+1]3 = -2cHo2/RH[n+1]3 and calculates as -1.112663583x10-9 (m/s2)* at the Instanton and as amil
= -1.1614163x10-10 (m/s2)* for the present time coordinate.
The Gravitational Constant G(n)=GoXn in the standard gravitational parameter represents a fine structure in
conjunction with a sub scale quantum mass evolution for a proto nucleon mass m c = alpha9.mPlanck from the
gravitational interaction fine structure constant αg = 2πGomc2/hc = 3.438304...x10-39 = alpha18 to unify
electromagnetic and gravitational quantum interactions.
The proto nucleon mass mc(n) so varies as complementary fine structure to the finestructure for G in mcYn
for a truly constant Go as defined in the interaction unification.
G(n)M(n)=GoXn.MoYn = GoMo(XY)n = GoMo in the macro evolution of baryonic mass seedling Mo and Gomc in
the micro evolution of the nucleonic seed remain constant to describes a particular fine structure for the
time frame in the cosmogenesis when the non-luminous Dark Matter remains separate from the luminous
Baryon mass.
The DM-BM intersection coordinate is calculated for a cycle time n=H ot=1.4142...or at a universal true
electromagnetic age of 23.872 billion years.
At that time, the {BM-DM-DE} mass density distribution will be {5.536%; 22.005%; 72.459%}, with the
G(n)M(n) assuming a constant value in the Hubble cycle.
The Dark Energy pressure will be PPBM∩DM = -3.9300x10-11 (N/m2)* with a corresponding 'quasi cosmological
constant' of ΛBM∩DM = -6.0969x10-37 (s-2)*.
Within a local inertial frame of measurement, the gravitational constant so becomes a function of the micro
evolution of the proto nucleon mass mc from the string epoch preceding the Instanton.
126
A localized measurement of G so engages the value of the mass of a neutron as evolved m c in a coupling to
the evolution of the macro mass seedling Mo and so the baryonic omega
Ωo=Mo/MH = 0.02803115 in the critical density ρcritical = 3Ho2/8πGo = 3MH/4πRH3 = 3c2/8πGoRH2 for the zero
curvature and a Minkowski flat cosmology.
The fine structure for G so engages both the micro mass mc and the macro mass Mo, the latter being
described in the overall Hypermass evolution of the universe as a Black Hole cosmology in a 5/11D AdS
'closed' spacetime encompassing the dS spacetime evolution of the 4/10D 'open' universe.
The Milgröm 'constant' so relates an intrinsic Dark Energy cosmology to the macro cosmic hypermass
evolution of Black Holes at the cores of galaxies and becomes universally applicable in that context.
No modification of Newtonian gravitation is necessary, if the value of a locally derived and measured G is
allowed to increase to its string based (Planck-Stoney) value of Go=1/k=4πεo = 1.111...x10-10 string unification
units [C*=m3/s2] and relating spacial volume to angular acceleration in gravitational parameter GM.
The necessity for Dark Matter to harmonize the hypermass evolution remains however, with the Dark
Energy itself assuming the form of the Milgröm deceleration.
That the Dark Energy is positive as a negative Einstein quintessence is also pointed out as a cosmological
effect by Erik Verlinde in his ‘Emergent Gravity’ model in associating the Milgröm deceleration with the
Hubble Constant and therefore the Friedmann standard cosmology. https://arxiv.org/pdf/1611.02269.pdf
The scale factor (a=n/[n+1]) radius at the instanton-inflaton is R(nps)=RH(nps/(nps+1)}=RHps/RH=ps in the limit
for nps=ps/RH=6.259x10-49~0
127
This coupling of the EMMR physical consciousness in the Restmass Photons or RMPs in the form of
monopolar displacement currents therefore relates the expansion of the universe to cycle time n=Hot to the
radial size of the Dark Matter Haloes or DMHs at particular coordinates of cycle time n.
Dark Matter Halos and Physicalized Consciousness
At the Instanton n=nps for Mo/λps2 = Λo/Go = constant = 1.8137x1095 [kg/m2]* and when all the DM was
contained within the Weyl wormhole as a minimum radius for the DMHs.
At the Inflaton Hubble boundary as a prospective DMH maximum, an infinite n for M H/RH2 = c2/2RHGo
= constant = 2.5349... [kg/m2]* and when all the DM would be within the Inflaton defined Hubble event
horizon.
This boundary will however remain 'out of bounds' for the asymptotic expansion of Universe.
Universe will quantum tunnel 234.47 cycles or about 4 Trillion years after the Instanton into the second
universe as a Multiverse defined 16.9 Billion years after the Instanton and when the 11dimensional EMR
light path had reached the Hubble event horizon as the AdS negatively curved boundary of the hyperbolic
cosmology of the convex lensed Witten mirror separating Shadow Universe Khaibit from Universe.
Universal Galactic Cell:.............. GoM/R2 = 2cHo{n2/(n+1)5} …...…..[Eq.VI-6]
for constant initial Milgröm deceleration 2cH o = 2c2/RH = 1.12663683x10-9 [m/s2]*
128
The expansion of the universe given in the dark energy DE in the gravitational acceleration
GoMo/R(n)2 = Go∑Mgalaxy/∑Rgalaxy2 = GoMo/Rsarkar2 in describing the Black Hole defined by the curvature radius
Rsarkar = 2GoMo/c2 = 2GoMH/c2 = ΩoRH = 4.4783...x1024 m* and for the encompassment of the universe at cycle
time coordinate nsarkar = Rsarkar/{RH - Rsarkar/} = 0.0283...= Ωo = Mo/MH from R(n)
= Rsarkar = RH{n/(n+1)} and RH/Rsarkar = 1+1/nsarkar.
This so considers mass seed Mo to be distributed as the baryon luminous matter seed in a summation of
galaxies mass M and radius R and within a daughter Black Hole defining the extent of universe at the Sarkar
curvature radius containing Mo.
The nonluminous dark matter DM then extends the baryon seed as the fraction added to the
ΩBM(n) = ΩoYn = MoYn/MH to allow Ω(n)= ΩBM(n)+ ΩDM(n) = 1
The DE does not participate in this matter distribution until it activates at the n=½ coordinate 8.445 Billion
years after the Instanton.
For any cycle time n>½ , the matter energy distribution Ω(n)=ΩBM(n)+ΩDM(n)+ΩDE(n)=1={Mo/MH}|mod1.
{M/R2}{Rsarkar2/Mo}{MH/RH2} = {M/R2}.{Mo/MH}|mod1 = {n/(n+1)}2.{2cHo/Go(n+1)3} =
{2c2/GoRH}{n2/(n+1)5}...as the total mass energy seed
{M/R2}.ΩBM(n) = {2c2/GoRH}{n2/(n+1)5} ...... as the baryonic luminous mass energy seed for the stellar disk of a
galaxy mass M and Radius R
{M/R2}.ΩDM(n) = {2c2/GoRH}{n2/(n+1)5} ...... as the DM Outer Halo or DMOH mass energy
seed and ΩDM(n) = 1 - ΩBM(n) for n<½ and ΩDM=ΩBM[1+1/n]3-1}
{M/R2}.ΩDE(n) = {2c2/GoRH}{n2/(n+1)5} ...... as the DE Boundary Halo or DEBH mass energy seed for n>½
The Milky Way is an observer relative right-handed barred spiral galaxy with its complementary left-handed
barred spiral Andromeda and the Pinwheel galaxy all of a total BM+DM mass of 2x10 42 kg for each galaxy.
They differ in their visible stellar extent, Andromeda the largest at 220,000 light years across, followed by
the Pinwheel galaxy at 170,000 light years across and the Milky Way 120,000 light years across.
This indicates that the three galaxies are of comparable equal mass but differ in their DM content inversely
proportional to their RMP galactic space-occupancy awareness evolution of physical consciousness as
monopolar energy distribution.
129
Milky Way Galaxy (Left)--------------------------------------------------------Andromeda Galaxy (Middle and Right)
The DM halos are calculated from the known distribution of Ω(n) = Ω BM(n) + ΩDM(n) + ΩDE(n) = 1
For a present n=1.132712 :
ΩoYn + ΩoYn{(1+1/n)3 - 1} + {1 - ΩBM(n) - ΩDM(n)} = 0.0483 + 0.2741 + 0.6776 = 1
For a n=⅔ : ΩoYn + ΩoYn{(1+1/n)3 - 1} + {1 - ΩBM(n) - ΩDM(n)} = 0.0386 + 0.5645 + 0.3969 = 1
For the onset of DE at n=½ and the cosmological redshift z=0.6124... :
ΩoYn + ΩoYn{(1+1/n)3-1} + {1 - ΩBM(n) - ΩDM(n} = ΩoY½ + {1-0.03565} = 0.03565 + 0.9270 + 0.0373 = 1
For the 'galaxy formation peak' defined in the Einstein quintessence minimum and for a cosmological
redshift of z=1.177...; so, 4 Billion years after the Instanton ngp=0.2389 :
ΩoYn + {1 - ΩBM(n)} + 0 = 0.03144 + 0.9686 + 0 = 1
130
For the beginning of galaxies at the Einstein-quintessence zero for cosmological redshift z=2.125;
1.83 Billion years after the Instanton; ng=0.10823... 1 = ΩoYn + {1 - ΩBM(n)} + 0 = 0.02953 + 0.97047 + 0 = 1
For the stellar disks of the three galaxies under consideration and for f{M/R 2} = {2c2/GoRH}{n2/(n+1)5}
= 0.2949 for np=1.13271.
Function f{M/R2} increases from 0 at nps to 0.0710 for ng=0.10823 to 0.1983 for ngp=0.2389 to 0.3338 for n=½
to a relative maximum at n=⅔ for {2c2/GoRH}{108/3125} = 0.35043 to subsequently decrease from this
maximum at 11.25 Billion years after the Instanton or 7.87 Billion years from the present epoch.
n=½ defines the onset of the Dark Energy and results in the measurement of an apparently accelerating
universe, 8.438 Billion years after the Instanton or 19.12 - 8.44 = 10.68 Billion years from the present in AntideSitter spacetime and 14.64 - 8.44 = 6.20 Billion years ago in deSitter spacetime.
The time period from n=½ to a relative maximum at n=⅔ and 10.68 - 7.87 = 2.81 Gy, so characterizes the
introduction of a physicalized DE into the cosmology.
In that epoch, the components of the distribution Ω(n) = Ω BM(n) + ΩDM(n) + ΩDE(n) = 1 changed in decreasing
the Dark Matter DM fraction in lieu of the Dark Energy DE fraction.
This had the effect of 'physicalizing' galactic consciousness in a redistribution of the 'missing mass' given in
the qo = ½Ωo = Λo/AdB = Mo/2MH = 0.014015... Deceleration-Omega parameter.
As the n=½ cycle coordinate defines the midpoint between the two extremum nodes in the ‘Oscillation of
the Hubble Constant’ and metaphysically termed as the 'Heartbeat of the Great Mother Baab'; the 'Father
White Hole' in AdS spacetime becomes synchronized with the 'Mother Black Hole' in dS spacetime in their
respective Hubble horizons in AdS and dS.
In AdS nRHAdS = {1-1/n+1}RHdS in dS for n=1 coinciding with the birth of the second universe in parallel time
space and collocal as a multiverse with the protoverse as the seedling universe.
In quantum theoretical terms, the n=½ cycle time coordinate introduced the Restmass Photon RMP as a
mass energy equivalent for physicalized universal consciousness in changing its nature from a Dark Matter
particle to a Dark Energy particle. As more VPE transmutes from DM into DE and BM in the universal mass
evolution; the transformed 'dark and non-luminous mass energy' begins to 'shine' in a cosmic phenomenon,
which can be called the synergy between wave-mind and particle-body or the psychosoma of Aurobindo's
Supramentalisation of ‘divinized’ matter.
Dark Energy so crystallizes itself as physicalized universal consciousness in itself and as a transformation
from prior to evolved states of energy defined in the creation events and agenda of Abba and his Logos.
{M/R2}{0.0483} = 0.2949 for a BMIH Inner Halo stellar radius of R milkyway = 5.723x1020 m* or
Rmw/{c.365.2425.86,400} = 60,455 light years ly and ΩBM/ΩDM = 0.0483/0.3224 = 0.150 for np and
ΩBM/ΩDM = 0.03863/0.35043 = 0.11024 for n=⅔ and ΩBM/ΩDM = 0.03565/0.9270 = 0.0385 for n=½ and
ΩBM/ΩDM = 0.03144/0.9686 = 0.0325 for ngp showing the evolution of the galaxy in time with a small increase
in Higgs-RMP mass reducing the DM inertia in increased space awareness, generalised in df ps/dt = d{1/fss}/dt.
{M/R2}{0.2741+0.0483} = 0.2949 for a DMOH Outer Halo of Rmw = 1.479x1021 m* or Rmw/{c.365.2425.86,400}
= 156,192 ly
131
{M/R2}{0.6776+0.3224} = 0.2949 for a DEBH Boundary Halo of Rmw = 2.604x1021 m* or
Rmw/{c.365.2425.86,400} = 275,081 ly
As the inversion of the wormhole radius of the Instanton defines the coupling of supermembrane Eps.Ess;
the galactic separation parameter is given in r ss|min = 1022 m* or 1.056 Million ly and
rss|max = 2πx1022 m* in 6.637x106 ly.
For n=⅔ :
{M/R2}{0.03863} = 0.35043 for a BMIH Inner Halo of Rmw = 4.695x1020 m* or 49,598 ly
{M/R2}{0.6031} = 0.35043 for a DMOH Outer Halo of Rmw = 1.855x1021 m* or 195,942 ly
{M/R2}{1} = 0.35043 for a DEBH Boundary Halo of Rmw = 2.389x1021 m* or 252,347 ly
For n=½ and a universal extent of 8.438 Billion light years as R DE = 7.988x1025 m* as galaxy crystallization
from the group galaxy seed from the supercluster seed, centred on the Milky Way seed and manifesting the
Milky Way seed as a major galaxy in the onset of DE participation in the mass energy evolution.
{M/R2}{0.03565} = 0.9270 for a BMIH Inner Halo of Rmw = 2.773x1020 m* or 29,295 ly
{M/R2}{0.96265} = 0.9270 for a DMOH Outer Halo of Rmw = 1.441x1021 m* or 152,227 ly
{M/R2}{1} = 0.9270 for a DEBH Boundary Halo of Rmw = 1.469x1021 m* or 155,153 ly
For n=ngp=0.2389 and a universal extent of 4.032 Billion light years as R gp = 3.817x1025 m* as galaxy
crystallization from a group galaxy seed from a supercluster seed, centred on the Milky Way seed.
{M/R2}{0.03144} = 0.1983 for a BMIH Inner Halo of Rmw = 5.631x1020 m* or 59,481 ly
{M/R2}{1} = 0.1983 for a DMOH Outer Halo of Rmw = 3.176x1021 m* or 335,457 ly
For n=ng=0.10823 and a universal extent of 1.826 Billion light years as R g = 1.729x1025 m* as the group galaxy
crystallization seed from the supercluster seed, centred on the Milky Way seed {M/R 2}{0.02953}
= 0.0710 for a BMIH Inner Halo of Rmw = 9.120x1020 m* or 96,339 ly
{M/R2}{1} = 0.0710 for a DMOH Outer Halo of Rmw = 5.307x1021 m* or 560,621 ly from the Local Group
For n=nsupercluster=Ωo=0.02803 and a universal extent of 473.037 Million light years as
Rsarkar = 4.4783x1024 m* as the supercluster seed, centred on the Milky Way seed
{M/R2}{0.02841} = 0.0069 for a BMIH Inner Halo of Rmw = 2.870x1021 m* or 303,117 ly
{M/R2}{1} = 0.0069 for a DMOH Outer Halo of Rmw = 1.703x1022 m* or 1,798,350 ly from the Laniakea
Supercluster
For n=½Ωo=qo=0.0140 and a universal extent of 236.519 Million light years as
½Rsarkar = 2.239x1024 m* as the supercluster seed initiation, centred on the Milky Way seed
{M/R2}{0.02822} = 0.0019 for a BMIH Inner Halo of Rmw = 5.450x1021 m* or 575,706 ly
{M/R2}{1} = 0.0019 for a DMOH Outer Halo of Rmw = 3.244x1022 m* or 3,427,061 ly from the Laniakea
Supercluster
132
For nmin=½qo=¼Ωo=0.0070075 as a potential 118.3-Million-year marker for a galaxy of mass
M=2x1042 kg*, such as the Milky Way and Andromeda and Pinwheel and as a consequence of the Inflaton
parameters of supermembrane EpsEss in rss|max = 1/rps = 2π/λps = 2πλss as the Milky Way seed
{M/R2}{0.028125} = 0.00048 for a BMIH Inner Halo of Rmw = 1.0816x1022 m* or 1,142,479 ly
{M/R2}{1} = 0.00048 for a DMOH Outer Halo of Rmw = 6.4550x1022 m* or 6,818,331 ly
The Birth of the Milky Way galaxy as one of the firstborn galaxies in Universe and the home galaxy of Baab's
Earth is so calculated at 118.3 Million years after the birth of time and space at the Instanton
nps = λps/RH = Ho/fps.and for synchronization and connectivity between Khaibit and Universe as the diameter
Ø=2RH.
As the DM distribution in a galaxy reflects its physical consciousness evolution in terms of the monopolar
displacement currents and the RMP derived from the Higgs Boson; galaxies with well-defined central
supermassive Black Holes and older elliptical galaxies are more evolved in their DM content.
As Black Holes drive the evolution of all galaxies, well defined Black Holes indicate more dark matter in their
host galaxies total mass energy content, than younger and evolving galaxies, characterised by ubiquitous star
formation and smaller central Black Holes, or Ultra-Luminous-X-ray sources or ULX sources. ULX sources are
related to quasars and the ylemic protostars as 'inversed' Black Holes or White Holes, characterised by high
temperatures and luminosities.
The RMP's quantum geometric template is YYCCMM(-1) = Y2C2M2(-1) = YCM(-½) + YCM(½) and so allows the
DM gauge ambassador 'particle' to merge with two left-handed WNI neutrons as mass-energy increase by
the Higgs Field YYCCMM(0) = YCM(0) + YCM(0).
The growth of the baryon mass seed Mo in Ω(n) = ΩoYn so represents the 'growing in physical consciousness'
of matter itself. Logos called this the 'Aurobindo Supramentalisation of Matter' in the monopolar
displacement currents of Universe as a mass increase.
The Milky Way hosts the local star system Rahsol and Earth and so Abba's Baab focus on the center of Earth
and so is the template for the general evolution of galaxies as cells in the metaphysical body of Adam and
Eve.
The DM distribution of the Milky Way so calibrates the DM distribution relative to the Inner Halo, the Outer
Halo, and the DE boundary.
RmwBMIH/RandBMIH = 60,455/ 110,000 = 0.55 for 0.0483/0.552 = 0.160 Andromeda's relative baryonic mass
fraction
RmwBMIH/RpinBMIH = 60,455/ 85,000 = 0.71 for 0.0483/0.712 = 0.0958 as Pinwheel's baryonic mass fraction
{M/(1.08x1042}{0.160} = 0.2949 for a BMIH stellar radius of Randromeda = 1.04x1021 m* or = 110,033 ly and
ΩBM/ΩDM = 0.160/0.3224 = 0.496
133
{M/R2}{0.3224} = 0.2949 for a DMOH Halo of Randromeda= 1.479x1021 m* or Rand = 156,192 ly {M/R2}{1.0} =
0.2949 for a DEBH Halo of Randromeda = 2.604x1021 m* or Rand = 275,081 ly rss|min = 1022 m* or 1.056 Million ly
for a Galactic Halo of mass Mandromeda
{M/(6.496x1041}{0.0958} = 0.2949 for a BMIH stellar radius of Rpinwheel = 8.060x1020 m* or = 85,142 ly and
ΩBM/ΩDM = 0.0958/0.3224 = 0.297
{M/R2}{0.3224} = 0.2949 for a DMOH Halo of Rpinwheel = 1.479x1021 m* or Rpin = 156,192 ly {M/R2}{1.0} =
0.2949 for a DEBH Halo of Rpinwheel = 2.604x1021 m* or Rpin= 275,081 ly rss|min = 1022 m* or 1.056 Million ly for
a Galactic Halo of mass Mpinwheel
For the Andromeda barred spiral galaxy or any galaxy seeded with a total BM+DM mass of 2x1042 kg, the
galaxy's DMOH radius would be 1.479x1021 m* or 156,192 light years for the present era and increase to
3.176x1021 m* or 335,457 light years at the peak of the galaxies as a function of the Einstein Quintessence
for ngp=0.2389 and 4.032 Billion years from the Instanton, observing the galaxy backwards in cosmological
time.
This galactic seed would increase further in its Dark Matter Outer Halo radius to 5.307x10 21 m* or 560,621
light years at the onset of Galaxy formation at the DE zero at ng=0.10823 or 1.83 Billion years after the
Instanton.
The consciousness evolution of galactic cell Andromeda and represented by its DMOH structure, would be
evidenced in Andromeda's DMOH shrinking towards the universal Dark Energy nexus in more of the dark
matter becoming 'illuminated' by the universal consciousness evolution of Universe and its parts as
subsystems of galactic cells.
The Outer Halo for the Dark Matter Halo DMOH energy distribution is limited by the inversion of the
wormhole radius rps in rss = 1/rps = 2π/λps = 2πλss = rss as a typical separation scale between large cellular
galaxies such as Milky Way and Andromeda in 6.28x1022 m* as
DMOH|max = {2πrss/c}/{365.2425x24x3600} = 6.637x106 light years or 6.637x106 ly/3.26 = 2035.9 kiloparsec
kpc.
Macro-cellular Modulation rss/2π = λss = 1022 m* then characterizes the Dark Matter Consciousness Haloes
around such major galaxies in 1022 m* or as
DMH|min = {rss/2πc}/{365.2425x24x3600} = 1.056x106 light years or 1.056x106 ly/3.26 = 324.02 kpc.
134
135
{s}SI
= 1.000978394 {s*}
= 0.999022562 {s}SI
{m}SI = 1.001671357 {m*}
= 0.998331431 {m}SI
{kg}SI = 1.003753126 {kg*]
= 0.996260907 {kg}SI
{C}SI
= 1.002711702 {C*}
= 0.997295631 {C}SI
{J}SI
= 1.005143377 {J*}
= 0.994882942 {J}SI
{eV}SI = 1.00246560
{eV*}
= 0.997540464 {eV}SI
{K}SI
{K*}
= 1.017273559 {K}SI
0.98301975
136
VIII: A Revision of the Friedmann Cosmology, Emergent Gravity, and Dark Energy as
entangled Quantum Information in a Hypermass Multiverse
It is well known that the Radius of Curvature in the Field Equations of General Relativity relates to the
Energy-Mass Tensor in the form of the critical density ρcritical = 3Ho2/8πG and the Hubble Constant Ho as the
square of frequency or alternatively as the time differential of frequency df/dt as a cosmically applicable
angular acceleration independent on the radial displacement.
The scientific nomenclature (language) then describes this curved space in differential equations relating
the positions of the 'points' in both space and time in a 4-dimensional description called Riemann Tensor
Space or similar.
This then leads mathematically to the formulation of General Relativity in Einstein's field Equations:
for the Einstein-Riemann tensor
and is built upon ten so-called nonlinear coupled hyperbolic-elliptic partial differential equations, which are
mathematically rather complex and often cannot be solved analytically without simplifying the geometries
of the parametric constituents (say objects interacting in so called tensor-fields of stress-energy {Tμν} and
curvatures in the Riemann-Einstein tensor {G μν}, either changing the volume in reduction of the Ricci tensor
{Rij} with scalar curvature R as {Rgμν} for the metric tensor {gμν} or keeping the volume of considered space
invariant to volume change in a Tidal Weyl tensor {Rμν}).
The Einstein-Riemann tensor then relates Curvature Radius R to the Energy-Mass tensor E=Mc2 via the
critical density as 8πG/c4=3Ho2VcriticalMcritical.c2/Mcritical.c4 = 3Ho2Vcritical/c2 = 3Vcritical/R2 as Curvature Radius R by
the Hubble Law applicable say to a nodal Hubble Constant Ho = c/RHubble
The cosmological field equations then can be expressed as the square of the nodal Hubble Constant and
inclusive of a ‘dark energy’ term often identified with the Cosmological Constant of Albert Einstein, here
denoted ΛEinstein.
Substituting the Einstein Lambda with the time differential for the square of nodal Hubble frequency as the
angular acceleration acting on a quantized volume of space; however, naturally, and universally replaces the
enigma of the 'dark energy' with a space inherent angular acceleration component, which can be identified
as the 'universal consciousness quantum' directly from the standard cosmology itself.
The field equations so can be generalised in a parametrization of the Hubble Constant assuming a cyclic
form, oscillating between a minimum and maximum value given by Ho=dn/dt for cycle time n=Hot and where
then time t is the 4-vector time-space of Minkowski light-path x=ct.
137
The Einstein Lambda then becomes then the energy-acceleration difference between the baryonic mass
content of the universe and an inherent mass energy related to the initial condition of the oscillation
parameters for the nodal Hubble Constant.
ΛEinstein=GoMo/R(n)2 - 2cHo/(n+1)3 = Cosmological Acceleration - Native Universal Milgröm Deceleration
As gμνΛ = 8πG/c4 Tμν - Gμν for Gμν = 8πG/c4 Tμν - gμνΛ, a negative integrated = 0 can appear as the energystress tensor 8πG/c4 Tμν always being greater than the curvature tensor Gμν
and restated in a mass independent form for an encompassment of the curvature fine structures.
The Friedmann equations for the Friedmann-Robertson-Walker FRW model for the field equations of
General Relativity relate the dark energy pressure P to the matter density (t) as an integrated part of
a Lambda Cold Dark Matter CDM model for the multidimensional cosmology for a flat Minkowski universe,
albeit as an effect of the collocal interaction of a positively curved de Sitter dS universe with a negatively
curved Anti de Sitter AdS universe.
The gμνΛ = 8πG/c4 Tμν - Gμν cosmological constant-quintessence tensor becomes integrated as the
difference between the Energy-Stress tensor 8πG/c4 Tμν and the curvature Einstein-Riemann tensor Gμν with
negative pressure P(n,t) describing the matter density (n,t) as a change in the time rate change of the
Hubble parameter dH(n,t)/dt and therefore the change in the intrinsic Milgröm deceleration as a function of
the nodal Hubble parameter.
Pressure P(n,t) as an energy per unit volume Mc2/R3 and derivative P’(n,t) are always negative and increase
as a function of the dark energy defined as an Einstein quintessence (n) towards its w=0 value for a matter
dominated universe and can be considered integrated as P<c2 as P=wc2 ∀ w<0
dP(n,t)/dt = P’(n,t) = {2c2Ho3/4Go}{[T(n) – (2n+1)2]/T(n)3} – {3(n+1)2/n4}{Moc2Ho/RH3} < 0 ∀ n,nps >0
P’(n,t) = {-2c2Ho3/4Go}{[3n2+3n+1]/T(n)3} – {3(n+1)2/n4}{Moc2Ho/RH3}
{6GoMo/c2RH}=3o = 0.264176.> {nT[n]-n[2n+1]2}/[n+1]5 = -[3n3+3n2+n]/[n+1]5 < 0 ∀ n,nps >0
The derivative of the integrated pressure is defined in a maximum where the matter density M oc2/R(n)3 is
equal to a polynomial function native to the integrated pressure in ’P(n) = n(2n+1)/[n+1]5.
Einstein Quintessence Integrated Dark Energy Pressure
Deceleration parameter q(n) = -{(d2a/dt2)(a}/(da/dt)2 for scale factor a = R(n,t)/RH
Hubble Parameter
H(n,t) = (da/dt)/a with H(n=Hot) = {c/[n+1]2}/{nRH/[n+1]} = Ho/(n[n+1]) = Ho/T(n)
dH(n,t)/dt = {(d2a/dt2)/a – (da/dt)2}/a2 = -q(n){(da/dt)/a}2 - H(n,t)2 = -H(n,t)2{1+q(n,t)}
dH/dt = -Ho2/(n2[n+1]2){1 + (2cHo/[n+1]3)(nRH/[n+1])([n+1]4/c2)} = -Ho2/(n2[n+1]2){1 +(2cnHoRH/c2)}
dH(n=Hot)/dn = -{Ho/T(n)}2{1+2n} for q(t) = -(dH/dt)/H(t)2 - 1 = 1+2n-1 = 2n for dS expanding within AdS
138
The AdS expansion has scale factor a = nRH/RH = n with invariant recession velocity c and 0 acceleration and
is a function of n=Hot limited in the Particle Hubble event horizon R P(n) = T(n)RH = n(n+1)RH.
As the deceleration parameter will be q=2 for n=1 for the nodal Hubble boundary H o for the dS-AdS
spacetime mirror for the EMMI Lightpath a product qAdS.qdS = 2n(1/2n – 1) = 1 – 2n with a superposed
deceleration parameter qdS for the cyclic cosmology of the EMR Lightpath initializes the dark energy onset
for n=½ to give the deceleration parameter product a zero value in qAdS.qdS = 1 – 2(½) = 0.
This then defines qdS(n) = 1/2n – 1 generally and qdS = -½ for qAdS = 2 for the nodal Hubble bound n=1
For a present cycle time coordinate n=1.1327127... qAdS = 2.26542 and qdS = -0.5586, the qdS value being
measured by astrophysical experiments.
Dark energy initiation for n=½ then occurs for qAdS = 1 with qdS =1/1 – 1 = 0
This stipulates a Hubble time (1.132712 - ½)/Ho = 0.632712/Ho = 10.677 billion years ago for the open AdS
spacetime and a Hubble time (0.867288 - ½)/Ho = 0.367288/Ho = 6.198 billion years ago for the closed and
compressed dS spacetime. The cosmological relativistic Doppler redshift is zDE=0.6124 for a Cosmic radiation
background temperature of 4.254 K*.
The compressed dS spacetime is spherically closed and embedded within a spherical dark matter inclusive
AdS spacetime. The Riemann hypersphere as a 3-dimensional surface derivative of a 3-sphere of volume
V4(R) = ½2R4 in dV4/dR = 22R3 geometrically encompasses both interacting spacetimes in the horn torus
topology coordinate shifted between the three frequency mirror intervals [-1,0] intersecting [-½,+½]
intersecting [0,1].
These cosmic mirror-shifted Hubble horizons for the Light Energy universe and the Dark Energy shadow
universe are then defined in an overall encompassing closed spherical universe defined by the Particle
horizon of the expanding omniverse.
139
140
Energy Conservation and Continuity
dE + PdV = TdS = 0 (First Law of Thermodynamics) for a cosmic fluid and scaled Radius R=a.R o;
dR/dt = da/dt.Ro and d2R/dt2 = d2a/dt2.Ro
dV/dt = {dV/dR}.{dR/dt} = 4πa2Ro3.{da/dt}
dE/dt = d(mc2)/dt = c2.d{ρV}/dt = (4πRo3.c2/3){a3.dρ/dt + 3a2ρ.da/dt}
dE + PdV = (4πRo3.a2){ρc2.da/dt + [ac2/3].dρ/dt + P.da/dt} = 0 for the cosmic fluid energy pressure continuity
equation:
dρ/dt = -3{(da/dt)/a.{ρ + P/c2}} .................................[Eq.VII-1]
The independent Einstein Field Equations of the Robertson-Walker metric reduce to the Friedmann
equations:
H2 = {(da/dt)/a}2 = 8πGρ/3 - kc2/a2 + Λ/3..............[Eq.VII-2]
{(d2a/dt2)/a} = -4πG/3{ρ + 3P/c2} + Λ/3 ....................[Eq.VII-3]
for scale radius a=R/Ro=R/RH; Hubble parameter H = {da/dt)/a}; Gravitational Constant G. Density ρ;
Curvature k ; light speed c and Cosmological Constant Λ.
Differentiating [Eq.VII-2] and substituting [Eq.VII-1] with [Eq.VII-2] gives [Eq.VII-3]
{2(da/dt).(d2a/dt2).a2 - 2a.(da/dt).(da/dt)2}/a4 = 8πG.(dρ/dt)/3 + 2kc2.(da/dt)/a3 + 0
= (8πG/3){-3{(da/dt)/a.{ρ + P/c2}} + 2kc2.(da/dt)/a3 + 0
(2(da/dt)/a2).{(d2a/dt2) - (da/dt)2}/a3 = (8πG/3){-3(da/dt)/a}.{ρ + P/c2} + 2{(da/dt)/a}.(kc2/a2) + 0
(d2a/dt2)/a - (da/dt)2}/a2 = (d2a/dt2)/a - 8πGρ/3 + kc2/a2 - Λ/3 = -4G{ + P/c2} + kc2/a2
(d2a/dt2)/a = 4πG/3{2 - 3 - 3P/c2} - kc2/a2 + /3 + kc2/a2 = -4πG/3{ + 3P/c2} + /3
d{H2}/dt = 2H.dH/dt = 2{(da/dt)/a}.dH/dt
with dH/dt = {[d2a/dt2]/a - H2} = (d2a/dt2)/a – (da/dt)2/a2
dH/dt = -4πG/3(ρ + 3P/c2) + Λ/3 - 8πGρ/3 + kc2/a2 - Λ/3} = -4πG(ρ + P/c2) + kc2/a2
dH/dt = -4πG{ρ + P/c2} as the Time derivative for the Hubble parameter H for flat Minkowski space-time with
curvature k=0 and with a cancelling integrated cosmological constant /3 in derivative dH/dt
dH/dt = {(d2a/dt2).a - (da/dt)2}/a2 = -4πG{ρ+ P/c2} + (kc2/a2)
for (kc2/a2) = 8πGρ/3 – H2 + Λ/3 = 0 for integrated /3 = 0 and critical
For a scale factor a=R(n)/RH=n/[n+1] = {1-1/[n+1]} = 1/{1+1/n}
dH/dt + 4πGρ = - 4πGP/c2 .... (for V4/10D=[4π/3]RH3 and V5/11D=2π2RH3 in factor 3π/2)
141
Scale factor modulation at Nk={[n-∑∏nk-1]/Πnk } for R(n)dS = ½R(n)AdS for n=1, k=0
{dH/dt} = d{Ho/T(n)}/dt = - Ho2(2n+1)/T(n)2 for k=0 and n-1=0 and no=1
dH/dt + 4πGρ = - 4πGP/c2 for integrated Pressure P(t) = -c2{(dH/dt)/4G + (t)}
Go = GoMo/R(n)3 = -GoP/c2 – (dH/dt)/4 = (n)/R(n) + 2cHo/R(n)[n+1]3 for Volume VdS = 4R(n)3/3
-P(t) = {c2/Go}{(n)/R(n) + 2cHo/R(n)[n+1]3 + (dH/dt)/4}
= {c2/Go}{(n)[n+1]/nRH + 2Ho2/n[n+1]2 – Ho2(2n+1)/4T(n)2}
P(n=Hot) ={c2Ho2/4GoT(n)2}{2n+1-8n+8n} – Moc2/R(n)3= c2Ho2(2n+1)/4GoT(n)2} - Moc2/R(n)3
P(n=Hot) = c2Ho2(2n+1)/{4GoT(n)2} - Moc2/R(n)3 for the spherical VdS = 4R(n)3/3
P(n=Hot) = c2Ho2(2n+1)/{62GoT(n)2} - Moc2/R(n)3 for the hyper-spherical VdS = 22R(n)3
P(n,t) < 0 for an integrated Pressure coordinate maximum for the interval [n ps---0] for [-3x10134---]
Moc2/R(n)3 = c2Ho2(2n+1)/{4GoT(n)2} for RH/2Rsarkar = MH/2Mo = [n+1]5/[2n2+n] = 1/P(n)
for 2o = 0.176117… = P(n) = [2n2+ n]/[n+1]5 = n[2n+1]/[n+1]5 for Volume VdS = 4R(n)3/3
for 32o = 0.829935… = P(n) = [2n2+ n]/[n+1]5 = n[2n+1]/[n+1]5 for Volume VdS = 22R(n)3
P(n=nps) = -3x10134 for P(n) = nps = ps/RH = 2rps/RH = 6.2590935x10-49 for k=1 universe reset rpsYn = RH for
cycle reset coordinate nreset = ln(RH/rps)/lnY = ln(2nps)/0.48121146 = 234.4715
P(n=nps) = -3x10134 [J/m3]* for P(n) = nps = 6.2591x10-49
P(no=0.1083) = -2.3761x10-8 [J/m3]* for 'P(n) = 0.078793
P(nPmax=0.40825) = -3.939x10-9 [J/m3]* for 'P(n)=0.13389451796
with 2o = 2Mo/MH = 4GoMo/c2RH
P(nDE=½) = -2.7264x10-10 [J/m3]* for 'P(n) = 0.13168724…
P(nHo=1) = -1.4976x10-10 [J/m3]* for 'P(n) = 0.0937500
P(n=1.132712) = -1.4004x10-10 [J/m3]* for 'P(n) = 0.0938113…
P(n=234.4715) = -4.0541x10-11 [J/m3]* for 'P(n) = 1.5221x10-7
For 'P = 0 the integrated negative pressure maximum coordinate for Moc2/R(n)3 = 'P(n)=0.40825 for the
derivative of 'P(n)=(2n2+n)/[n+1]5 = 0.13389451796 for d{'P(n)}/dn = 0
for ”P(n) = (4n+1)/[n+1]5 - 5n(2n+1)/[n+1]6 = 0 for n=1/√6 = 0.40825
Showing that the Pressure P would be 0 for this coordinate were it not integrated in the Lambda tensor
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(0.40825)(R(0.40825) = (41.04504)GoMo/RH3 – (2.47027)Ho2 = (2.0282 – 8.70985)x10-36 [1/s2]* for a
negative Einstein quintessence of -6.68165x10-36 [1/s2]* or (0.40825)={9.3941–40.3402}x10-11
= -3.0946x10-10 [ms-2]*
→ P(n,t) = c2Ho2(1.8165)/{4Go(0.33053)} - Moc2/R(n)3 = (1.2490–1.6429)x10-9 = -3.939x10-10 [J/m3]* for the
spherical VdS = 4R(n)3/3 [N/m2]* as the Lambda integrated pressure at 6.891 billion years after the QBBS as
P(n=0.40825) to define a maximum 2o=2Mo/MH in the baryon matter seedling with
P’(0.40825) = -2.3844x10-26 [J/m3s]*
For (n=nps=|ps/RH|mod) = GoMo/ps2 = 2.015x1085 [m/s2]* and nps=ps/RH as min-max scale boundaries
→ P(n,t) = MHfps2/RH{1/2 – o/nps} = 3.645x1087{1/2 - 4.478x1046 [N/m2]* O{-1.63x10134} < 0
for a spherical VdS= 4R(nps)3/3 = 4.18879x10-66 [m3]* for a boundary and initiation redshift z~2x1024 of the
instanton-inflaton QBBS with → dP(n,t)/dt = P’(n,t) = {-2c5/4Gops3} – {3Moc3/ps4}
= {-fps3}{3Mo/ps + c2/2Go} = {-fps3}{5.44x1073 – 1.29x1026} <0 for O(-1.47x10165) [J/m3s]*
For = 0 the onset of the Einstein quintessence changing from positive to negative for n=0.10823
(n0)(R(n0) = (1073.61)GoMo/RH3 – (84.56)Ho2 = (5.3053 – 5.3053)x10-35 [1/s2]* for a negative Einstein
quintessence of 0 [1/s2]* for (n0) = {8.2774 - 8.2774x}10-10 = 0 [ms-2]*
→ P(n,t) = c2Ho2(1.21646)/{4Go(0.01439)} - Moc2/R(n)3 = (1.9212–4.2973)x10-8
= -2.3761x10-8 [N/m2]* for the spherical VdS = 4R(n)3/3 [N/m2]* → P’(n,t) = -2.6908x10-24 [J/m3s]*
For the onset of dark energy for deceleration parameter product q AdS.qdS = 2(½)(1/1-1) = 0 for n=½
(nDE)/(R(nDE) = (27)GoMo/RH3 – (16/9)Ho2 = (1.3342 – 6.2680)x10-36 [1/s2]* for a negative Einstein
quintessence of -4.9339x10-36 [1/s2]* for (nDE) = -2.6276x10-10 [ms-2]*
→ P(n,t) = c2Ho2(2)/{4Go(9/16)} - Moc2/R(n)3 = (8.0807–10.8071)x10-10 = -2.7264x10-10 [N/m2]* for the
spherical VdS = 4R(n)3/3 [N/m2]* → P’(n,t) = -1.4692x10-26 [J/m3s]*
For the completion of the AdS Lightpath at the 1st odd Hubble node Ho = c/RH for n=1
(1)/(R(1) = (8)GoMo/RH3 – (8/9)Ho2 = (1.3342 – 3.1341)x10-36 [1/s2]* for a negative Einstein quintessence of
-1.8000x10-36 [1/s2]* for (1) = -1.4378x10-10 [ms-2]*
→ P(n,t) = c2Ho2(3)/{4Go(4)} - Moc2/R(n)3 = (1.7045–3.2021)x10-10 = -1.4976x10-10 [N/m2]* for the spherical
VdS = 4R(n)3/3 [N/m2]* → P’(n,t) = -1.6486x10-27 [J/m3s]*
For the present time n=1.132712
(npresent)/(R(npresent) = GoMo/RH3(n/[n+1])3 – 2nHo2/T(n)2 = (3.2984 – 13.686)x10-37 [1/s2]* for a negative
Einstein quintessence of -1.08387x10-36 [1/s2]* for (npresent) = -8.8143x10-11 [ms-2]*
→ P(n,t) = c2Ho2(3.2654)/{4Go(5.8358)} - Moc2/R(n)3 = (1.2713–2.6717)x10-10
= -1.4004x10-10 [J/m3]* for the spherical VdS = 4R(n)3/3 [N/m2]* → P’(n,t) = -1.1223x10-27 [J/m3s]*
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For the quantum tunneling of the asymptotic protoverse into the first universe for n=234.4715
(nquantumtunnel)/(R(nquantumtunnel) = GoMo/RH3(n/[n+1])3 – 2nHo2/T(n)2 = 5.0051x10-38–5.4241x10-43
= O(5x10-38) [1/s2]* for a positive Einstein quintessence of 5.0051x10-38 [1/s2]*
for (nquantumtunnel) = 7.9624x10-12 [ms-2]*
→ P(n,t) = c2Ho2(469.943)/{4Go(3.0483x109)} - Moc2/R(n)3 = (3.5037x10-17– 4.0541x10-11)
= -4.0541x10-11 [N/m2]* for the spherical VdS = 4R(n)3/3 [N/m2]* → P’(n,t) = -4.1371x10-33 [J/m3s]*
Baryon Matter, Dark Matter and Dark Energy distribution in BM + DM + DE = 1 = of(n) + DE
DE < 0 for n<nDE=0 and DE = 0 for n=nDE=0 and DE > 0 for n>nDE=0
The density ratio BMUDM/critical = MoYnRH3/MHRH3(n/[n+1])3 = oYn{1+1/n}3 = of(n) = BM{1+1/n}3
BMUDM/critical + DE = 1 = of(n) + DE = BM{1+1/n}3 + DE
For DM = BM{(1 + 1/n)3 – 1} = o(1.618033)1.132712{5.67480} = {0.048344}{5.67480} = 0.274344 and
DE = 1 – DM – BM = 1 - BM{(1+1/n)3} = 1 – 0.048344{ 6.67480} = 0.677313 for the present time
BM = 0.048344 with DM = 0.274344 with DE = 0.677313
For n<nDE=0 the quintessential DE fraction is negative and subtracted from the Dark Matter fraction.
The Dark Energy DE onset as a correlation between the scale factors a(n=½) = R(n,t)/R H = n/[n+1] = ⅓
and a(n=1) = R(n,t)/RH = n/[n+1] = ½ then synchronizes the intersection interval between the closed
compressed dS spacetime and the uncompressed open AdS spacetime in the intersecting twinned universe
in the interval [-½|0|+½] as imaged half cycles as a full cycle [0+n ps,+1] imaged in [-1, 0-nps].
For the DE to be 0 the density ratio BMUDM/critical = 1 describing the Sarkar mass seedling Mo to increase
quintessentially by the BM-DM intersection, saturated at n=√2 for constant BM to the closure value MH as
o=1.
oYn{1+1/n}3 = 1 for root ni+1 = ni – f(ni)/f’(ni) by a Newton-Raphson approximation
for f(n) = oexp[nlnY]{1+1/n}3 – 1 = 0 and f’(n) = oexp[nlnY]{1+1/n}2}(lnY[1+1/n]-3/n2)
For n1=½; n2 = ½ - f(½)/f’(½) = ½-(27oY½-1)/(9 oY½{3lnY-12} = ½-(-0.037323)/(-3.387457) = 0.488982
converging to nDE=0 = 0.489365… = ½ - 0.010635 and as n/Ho =nRH/c = t = 179.48 million years as the
quantum extremal surface wall for the Page Time in the resolution of the Hawking Information Paradox and
as the transition period from the onset of the dark energy 8.258 billion years from the QBBS to 8.438 billion
years as the scale factor a(1)=R(n)/RH=½.
This synchronizes the nodal Ho=c/RH frequency with the halfway marker for the AdS Lightpath nR H/RH=½
meeting the dS Lightpath in the inflaton reversed and nodal mirror EMMR reflection.
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For n=nps the mass-energy % distribution o = BM+DM+DE = (2.803+97.197) in (1.14-1.14)x10145
For n=0.014015 the mass-energy % distribution o = BM+DM+DE = (2.822+97.178) in (1.06-1.06)x106
For n=0.02803 the mass-energy % distribution o = BM+DM+DE = (2.841+140,158.774-140,061.615)
For n=0.10823 the mass-energy % distribution o = BM+DM+DE = (2.953+3167.261-3070.214)
For n=0.2389 the mass-energy % distribution o = BM+DM+DE = (3.144+435.397-338.541)
For n=0.489365 the mass-energy % distribution o = BM+DM+DE = (3.547+96.453+0)
For n=0.49 the mass-energy % distribution o = BM+DM+DE = (3.548+96.211+0.241)
For n=½ the mass-energy % distribution o = BM+DM+DE = (3.565+92.703+3.732)
For n=1 the mass-energy % distribution o = BM+DM+DE= (4.535+31.748+63.717)
For n=1.132712 the mass-energy % distribution o = BM+DM+DE = (4.834+27.434+67.732)
For n=√2 the mass-energy % distribution o = BM+DM+DE = (5.536+22.004+72.460)
For n=2 the mass-energy % distribution o = BM+DM+DE = (5.536+3.924+90.540)
For n=234.4715 the mass-energy % distribution o = BM+DM+DE = (5.536+0.071+94.393)
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As GoMo=G(n)XnM(n)Yn=constant with oYn=BM GoXn.Yno = G(n)BM for 2o- Pmax(n=0.40825)
1 + 2o – ’|max = G(nmeasured)/GoXn + = oGmYn/BMG(n) + for a measured Gm = G(nmeasured)
1+0.176117-0.1338945 + = 1.0422225 + = {0.02803Yn/0.04834}Yn{Gm)/G(n)
= 1.00009{Gm/6.442195x10-11} for a monopole derived delta = 1.0422225 – 1.035428 = 0.006794
Gm= 6.4416152x10-11 {1.042225 + } =6.6698x10-11[m3/kg.s2]* and 6.67443x10-11 [m3/kg.s2]SI
The Dark Energy and the 'Cosmological Constant' exhibiting the nature of an intrinsic negative pressure in
the cosmology became defined in the overall critical deceleration and density parameters.
The pressure term in the Friedmann equations being a quintessence of function n and changing sign from
positive to negative to positive as indicated.
The energy density Moc2/R(n)3 as the energy-stress tensor always exceeds Pressure P(n,t) and its derivative
dP(n,t)/dt.
The encompassing cosmology so is always matter dominated in the sense of the overall energy distribution
and the asymptotic zero approach of the integrated negative pressure quintessence.
Critical Density c = 3Ho2/8Go dS with c = Ho2/42Go AdS in factor 3/2
for H(n)2 = {da/dt}2/a2 = {c2/[n+1]4}/{n2RH2/[n+1]2} = Ho2/n2[n+1]2 = Ho2/T(n)2
for {da/dt}2 = 8Goca2/3 dS and {da/dt}2 = 42Goca2 AdS for spherical closure dS in omnispace as a
function of the Particle Hubble event horizon of the nodal cosmology for critical density critical and curvature
radius Rcurv = 2GoMH/c2 and scale factor a(n,t)=R(n,t)/RH
∫da/a = ∫√{8Goc/3}dt dS and ∫da/a = ∫√{42Goc} dt AdS
for ln{a} = √{8Goc/3}t dS and ln{a} = √{42Goc}t AdS
for a(t) = exp[√{8Goc/3}t] = exp[Ho] dS and a(t) = exp[√{42Goc}t] = exp[Ho] AdS
This correlates with a generalised density (n=Hot) varying cosmology, often modelled as a flat matter only
de Sitter universe with scale factor a(n,t) = R(n)/R H = R(n)Ho/c ∝ t⅔
H(n) = {(dR(t)/dt)/RH}/{R(t)/RH} = √{8Go(n,t)/3} = √{8Go(M(n,t)/3R(n,t)3} dS and
H(n) = {(dR(t)/dt)/RH}/{R(t)/RH} = √{42Go(n,t)} = √{42Go(M(n,t)/R(n,t)3} AdS
For √R(t).dR(t) = √{8Go(M(n,t)/3}.dt dS and √R(t).dR(t) = √{42Go(M(n,t)}.dt AdS
For ⅔R(t)1.5 = √{8Go(M(n,t)/3}t and R(t) = ∛{6Go(M(n,t)} t⅔ dS and
for ⅔R(t)1.5 = √{42Go(M(n,t)}t and R(t) = ∛{92Go(M(n,t)} t⅔ AdS within the closed dS omniverse
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For AdS encompassing the cyclic dS protoverse as a multiverse as a closed dS spacetime, the scale factor is
a=n=Hot for dn/dt=Ho for the Particle Horizon and closure n=1 for M(n,t)=MH=Rcurvc2/2Go with
nRH=R(n,t) = ∛{6Go(M(n,t)} [n/Ho]⅔ dS for nRH3 = {6Go(M(n,t)/Ho2} = 9M(n,t)/4c and
n = 9M(n,t)/4cRH3 = {9M(n,t)/4RH3}{4RH3/3MH} = 3{Rcurv/RH} = 3 for M(n,t) = MH and n=1
For the dS omniverse encompassing the cyclic dS protoverse as a multiverse as AdS spacetime in the
topology of a horn torus, the scale factor is a=n=Hot for dn/dt=Ho for the Particle Horizon and closure n=1 for
M(n,t)=MH=Rcurvc2/2Go with
nRH=R(n,t) = ∛{92Go(M(n,t)} [n/Ho]⅔ dS for nRH3 = {92Go(M(n,t)/Ho2} = 9M(n,t)/4c and
n = 9M(n,t)/4cRH3 = {9M(n,t)/4RH3}{22RH3/MH} = 92/2 for M(n,t) = MH and cycle n=1
The time for closure so becomes about one third the Hubble time 1/Ho = RH/c in
t2 = RH3/6GoMH = RH/3Ho2Rcurv = 1/3Ho2 for a time t=1.73473x1017 s* or n=0.32573 or 5.4971 Gy, when
R(t=n/Ho) = 3.9253x1025 m* = 0.2457RH
For a present measured deceleration parameter q dS=-0.5586, the DE Lambda as the negative Einstein
quintessence calculates as -8.8143x10-11 [m/s2]*or as 1.0388x10-36 [s-2]* and as a negative pressure of
-1.4004x10-10 [N/m2=J/m3]* as a function of the native universal Milgröm deceleration
amil = -2Ho2RH/[n+1]3 = -1.1614x10-10 [m/s2]*.
The Einstein Lambda then becomes the energy-acceleration difference between the baryonic mass content
of the universe and an inherent mass energy related to the initial condition of the oscillation parameters for
the nodal Hubble Constant.
For (n) = M(n)/MH = 2qo = 1 = R(n)/RH the AdS cosmology attains closure for a cycle coordinate n=1 in the
EMMR Lightpath and a time, when the dS gravitationally retarded universe has reached the halfway point in
its asymptotically defined expansion in scale factor R(n,t)/R H = n/[n+1] = a(n,t) in a recessional velocity of the
expanding dS wavefront slower than the speed of light.
The dS compressed universe has reached the halfway marker for the onset of the dark energy at a cycle time
coordinate of n=1 and when the AdS dark matter inclusive universe has reached the nodal Hubble event
horizon as the boundary for the multidimensional cosmology as set in the superluminal Lightpath of the
QBBS superimposed onto the parallel evolution of the dS and AdS spacetimes expansion.
The extent of the EMMR Lightpath in AdS so encompasses a full nodal displacement in the interval [n ps~0,1]
which is phase shifted as the interval [-½,+½] to mirror the invariance of the EMR Lightpath relative to the
gravitationally retarded EMR Lightpath in the cycle coordinate n=½ as a proxy nodal mirror for the true
Hubble node at n=1.
The ‘return’ of the reflected EMMR Lightpath from the true Hubble event horizon so is made manifest as the
EMR Lightpath at the proxy Hubble node at the DE n-cycle coordinate n=½ and for which the deceleration
parameter product is zero for qAdS = 2n = 1 and qdS =1/qAdS – 1 = 0.
The actual curvature radius for n=½ for the dS cosmology is R(½) =½.⅔RH = ⅓RH to indicate that the dark
matter portion for the compressed spacetime will be 1/23–1/33 = 1/8 – 1/27 = 19/108 = 0.0880 = 1/11.36 in
terms of the volume occupied.
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For n=1, the dark matter sector so will be doubled to 0.1759 = 1/5.6842 for the ratio between the dS sector
without the dark matter and the AdS sector with the dark matter with 1/6.6842 + 5.6842/6.6842 = 1 or as so
15% BM and 85% DM as the total matter content of the universe.
The distribution for the present scale factor of 0.53R H gives BM = oY1.132712 = 0.04834 and for npresent
DM = o{1 + 1/n}3 = 0.2743 as 4.834/32.262 = 14.98% and 27.43/32.262 = 85.02%.
The difference between the AdS curvature radius for n=1 superposed onto the dS curvature radius for n=1
and the actual dS curvature radius for n=½ then is (½-⅓)RH = ⅙RH for a ratio of ½RH/⅓RH = 3/2
The density parameter = R(n)/RH = 1 so triggers the second universe from the lightspeed invariant AdS
completion of the Lightpath in the AdS cosmology with the Dark Energy manifesting in potential energy
vortices of wormholes defined in the inflaton hyperspace cosmology and superpositioned as the phase shift
of the [nps,1] interval in the interval [-½,+½] as the dark energy onset.
This defines the Dark Energy onset for the difference between the AdS EMMI ct=nR H Lightpath and the dS
EMR expansion R(n)=nRH/[n+1] as RH{n – n/[n+1]} = RH{(T(n)-n)/[n+1]} = n2RH/[n+1] = ⅙RH for n=½
This difference is trivially 0 for the QBBS and n=0~nps and is 0 for the intersection coordinate for the stasis of
the dark matter part with the baryonic matter part of the energy density for the cyclic return of the EMMI
Lightpath ct=RH{2-n} > RH with {2-n}=n/[n+1] or 2-n2 = 0 for nBMUDM = √2
For n=1 and the nodal Hubble event horizon the AdS-dS difference n2RH/[n+1] = ½RH for=n/[n+1]
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The Multiverse and the Evolution of Mass in Hypermass
This evolution of mass as a fundamental cosmological parameter relates to the 'missing' mass in the M o/MH
= 0.02803... ratio say as the Omega of the deceleration parameter q o=½o in the Friedmann cosmology.
Considering a time evolution of a rest mass seedling Mo towards a Black Hole closure mass MH in the form of
'massless eternal Strominger branes' will crystallize the existence of a multiverse as a function of the
wormhole radius rps expanding in higher dimensional brane spacetime until the Hubble radius R H is reached
in a time of about 4 trillion years.
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A formula to describe this is: nlnY=ln(RH/rps) or equivalently nlnY=ln(MH/Mcurvature) for the quantum
gravitational transformation of the Planck mass into the curvature mass of 6445.775... kg* as the minimum
mass a Black Hole can have in the quantum relativistic cosmology.
When a Strominger eternal (there is no Hawking radiation) black hole has reached its macro state from its
microstate, say after 234.47 cycles in a protoverse, then the entire old universe will quantum tunnel into a
new universe which was born as a multiverse at the completion of the first cycle for n=1 and when a second
inflaton holographically repeated the cosmogenesis parallel in time but not in space to ensure the eternal
continuity for the first universe created as a protoverse.
The quantum tunneling wall so is an interval of time defined in n ps and not any boundary in space.
https://youtu.be/RF7dDt3tVmI
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The Hubble Event Horizon RHEH = REH = nRH so manifests the AdS spacetime of the EMMR refractive Lightpath
and the nodal Hubble minimum RH forms the upper boundary for the cyclic dS spacetime in the reflective
EMR Lightpath of the lower dimensional cosmology lower bounded by the wormhole QBBS frequency
fps=1/fss and coupled in lightspeed invariance as ps.fps = c = RH.Ho.
The mass evolution of baryon seedling Mo so is described in both a cyclic and spheroidal-positively curved de
Sitter spacetime and in a continuous and hyperbolic-negatively curved Anti de Sitter spacetime in the EMMR
and EMR Lightpath respectively.
The hypermass form of the mass seedling Mo as a Strominger brane requires 234.47 RH-cycles to satisfy the
MH boundary condition in synchronization with the curvature radius of the QBBS attaining the displacement
scale of the Hubble radius and a critical radius made manifest by the EMMR Lightpath after just one cycle at
n=1 for the AdS cosmology, a nexus for which the dS spacetime for the expanding universe has reached the
halfway coordinate n=½ in the gravitationally retarded cosmology.
In Ads spacetime then, the Strominger ‘Mother Black Hole’ boundary MH increases as nMH=MHEH=nRHc2/2Go
and is so 1.1327127..MH = 7.3293x1052 kg* for the present n-cycle time coordinate and will be
n1MH=234.47MH or 1.517x1055 kg* at the completion of the first time-spaced universe 4 trillion years after
the QBBS by n = ln{RH/rps}/lnY = ln{2nps]/lnY = 234.47161 in 234.47161/Ho = 234.47161RH/c = 1.24870x1020
s* or 3.9570 trillion years.
The baryonic mass seedling Mo as a hypermass in AdS cosmology attains saturation potential for the
Strominger Sarkar ‘Daughter Black Hole’ nSarkarMH = nSarkarRHc2/2Go = oRHc2/2Go = 1.81371262x1051 kg* for
Mo = RSarkarAdSMH/RH and RSarkarAdS = 4.478303x1024 m*
As a distributed baryon mass in dS cosmology, RSarkar(nSarkar) = {nSarkar/[1+nSarkar]}RH = 4.356356x1024 m* for
MSarkar = RSarkardSc2/2Go = 1.764324x1051 = Mo kg* and for nSarkar= Ωo = 0.028030116
This implies, that 1.764324/1.813713 or 97.277% of Mo has inertialized-materialized from its hypermass
potential from the initial boundary condition of the deceleration parameter q o=½o as gravitational mass
equivalent at the nSarkar = o coordinate at 2x236.57=473.14-Million-year marker of the galactic supercluster
displacement scale.
The Hubble law so modulates the inflaton as the instanton in a dimensionless cycle time parameter n in a
time rate change constant as the nodal Hubble constant H(n)|min = Ho = 58.04 km/Mpc.s (extrapolated to
66.9 km/Mpc.s for a present n present =1.1327127... cycle time coordinate) and in inverse proportion to its
maximum as the wormhole frequency fps, becoming the maximum node for H(n) in the associated multiverse
cosmology, which defines this multiverse as parallel in time space, but as holofractally nested in spacetime.
It is then a quantum tunneling of the entire universe upon the completion of interwoven cycles defining the
nodal oscillations nodal 'walls of time' defined in the light path, which become the medium for this quantum
tunneling of lower dimensional spacetime itself.
The ‘superluminal’ expansion of spacetime of standard cosmology is therefore modified in a decreasing and
multiverse generating cyclic Hubble function H(n)=Ho/T(n)=Ho/(n[n+1] for a projected Particle Hubble
Horizon of 40.78 Gy in RP = cT(n)/Ho = n(n+1)RH = (1.1327127)(2.1327117)(16.88) = 40.77782 Gy or
3.85958x1026 m* as 40.77 billion lightyears for the present protoverse or seedling universe.
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A particular unifying n-cycle coordinate is found in the compressed de Sitter spacetime for which the scale
factor a = R(n)/RH = n/[n+1] = X = Y – 1 and so for n = X/(1-X) = (Y-1)/(2-Y) defines the value of the nodal
Hubble constant Ho= c/RH as the Hubble parameter H(n=X) = Ho/T(n=X) and so for the function T(X) = X(X+1)
= X2+X = n2+n = n(n+1) with X2 = 1 – X for T(n)=1
A relationship between X and Y is defined in the Euler identity:
exp[i] = X+Y = XY = i2 = -1 = cos + isin for the roots of T(n)=1 in X=±½{√5 - 1} and Y=±½{√5 + 1}
H(X=½{√5 - 1) = H(0.618034) = Ho/[X][Y] = Ho/1 = Ho for scale factor a = R(n)/RH = X = 0.618034 = Y - 1
The corresponding n-cycle coordinate nXY = X/(1-X) = X/X2 = 1/X = Y = 1.618034 for
R(n=Y) = YRH/(Y+1) = (√5 + 1)RH/({√5 + 3) = ¼RH(3-√5)(1+√5) = ½RH(√5 - 1) = XRH = 0.618034RH
The unifying cycle coordinate in the compressed dS spacetime is reached at the X-cycle coordinate in the
return of the AdS Lightpath for Y=nXY=1.618034 Y/Ho=YRH/c or 27.306 billion years from the QBBS
AdS spacetime expands at invariant lightspeed c and increases the multiversal volumar in the ‘event horizon’
Hubble horizon REH = nRH in a continuous new spacetime creation of spacetime quanta defined in the WeylEps VPE-ZPE quantum Vps = Eps/22rps3 = 4Eps/ps3 = 2.513274x1064 [J/m3]*.
The actual cosmology of the multiverse so exhibits no ‘faster than light’ spacetime expansion due to
spacetime quantization in supermembrane Eps.Ess. The superluminal expansion is restricted to the QBBS
parameters of the instanton-inflaton coupling, repeating itself in the cyclicity of the multiverse from the
protoversal seed and encompassed by the topology and geometry of the oblate omniverse containing
rotational phase shifted prolate universes as multiverses generated from the ellipsoidal foci of the EpsEss or
Abba-Baab 12-dimensional cosmogony.
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Every Inflaton defines three Hubble nodes or timespace mirrors; the first being the 'singularity - wormhole'
configuration; the second the nodal boundary for the 4D/10D dS space-time and the third the dynamic
Lightpath bound for the Hubble Event horizon in 5D/11D AdS time-space.
The completion of a 'de Broglie wave matter' evolution cycle triggers the Hubble Event Horizon as the inner
boundary of the time-space mirrored Calabi Yau manifold to quantum tunnel onto the outer boundary of the
space-time mirrored Calabi Yau manifold in a second universe; whose inflaton was initiated when the lightpath in the first universe reached its second Hubble node.
For the first universe, the three nodes are set in time-space as {3.3x10-31 s; 16.88 Gy; 3.96 Ty} and the second
universe, time shifted in t1=to+t with to=1/Ho has a nodal configuration {to+1.4x10-33; to+3,957 Gy; to+972.7
Ty}; the latter emerging from the time-space as the instanton at time marker to.
A third universe would initiate at a time coordinate t2=to+t1+t as {1/Ho+234.472/Ho +5.8x10-36 s; to+t1+972.7
Ty; to+t1+250,223 Ty}; but as the second node in the second universe cannot be activated by the Lightpath
until the first universe has reached its 3.96 trillion year marker (and at a time for a supposed 'heat death' of
the first universe due to exhaustion of the nuclear matter sources); the third and following nested universes
cannot be activated until the first universe reaches its n=1+234.472=235.472 time-space coordinate at
3,974.8 billion years from the time instanton aka the Quantum Big Bang.
For a present time-space coordinate of npresent=1.13271 however; all information in the first universe is being
mirrored by the time-space of the AdS space-time into the dS space-time of the second universe at a time
frame of t = t1-to = 19.12 - 16.88 = 2.24 billion years and a multi-dimensional time interval characterizing the
apparent acceleration observed and measured in the first universe of the Calabi Yau manifold compressed or
compactified flat dS Minkowski cosmology. The solution to the Dark Energy and Dark Matter question of a
'missing mass' cosmology is described in this discourse and rests on the evolution of a multiverse in matter.
Yn = RHubble/rWeyl = 2πRHubble/λWeyl = ωWeyl/Ho = 2πnWeyl = nps/2π = 1.003849x1049
with nps = ps/RHubble = 6.259093485x10-49
and with k=0 for nk-1 = n-1 = 0 and with k=1 for nk-1 = no = 1
2nd Inflaton/Quantum Big Bang redefines for k=1: RHubble(1) = n1RHubble = c/Ho(1)
= (234.472)RHubble = 3.746x1028 m* in 3.957 trillion Years for critical nk
3rd Inflaton/Quantum Big Bang redefines for k=2: RHubble(2) = n1n2RHubble = c/Ho(2)
= (234.472)(245.813)RHubble = 9.208x1030 m* in 972.63 trillion Years for critical nk
4th Inflaton/Quantum Big Bang redefines for k=3: RHubble(3) = n1n2n3RHubble = c/Ho(3)
= (57,636.27)(257.252)RHubble = 2.369x1033 m* in 250.24 quadrillion Years for critical nk
5th Inflaton/Quantum Big Bang redefines for k=4: RHubble(4) = n1n2n3n4RHubble = c/Ho(4)
= (14,827,044.63)(268.785)RHubble = 6.367x1035 m* in 67.26 quintillion Years for critical nk
...
(k+1)th Inflaton/Quantum Big Bang redefines for k=k: R Hubble(k) = RHubble Πnk = c/Ho Πnk
.....
171
nk = ln{ωWeylRHubble(k)/c}/lnY = ln{ωWeyl/Ho(k)}/lnY
no = 1
n1 = 234.471606...
n2 = 245.812422...
n3 = 257.251394...
n4 = 268.784888...
Dark Energy DE-Quintessence Λk Parameters:
A general dark energy equation for the kth universe (k=0,1,2,3,...) in terms of the parametrized Milgröm
acceleration A(n); comoving recession speed V(n) and scale factored curvature radius R(n):
Λk (n) = GoMo/Rk(n)2 - 2cHo(Πnk)2/{n-ΣΠnk-1+Πnk)3} for negative Pressure Pk = -Λk(n)c2/4πGoRk
= {GoMo(n-ΣΠnk-1+Πnk)2/{(Πnk)2.RH2(n-ΣΠnk-1)2} - 2cHo(Πnk)2/{n-ΣΠnk-1+Πnk)3}
Λo = GoMo(n+1)2/RH2(n)2 - 2cHo/(n+1)3
Λ1 = GoMo(n-1+n1)2/n12RH2(n-1)2 - 2cHon12/(n-1+n1)3
Λ2 = GoMo(n-1-n1+n1n2)2/n12n22RH2(n-1-n1)2 - 2cHon12n22/(n-1-n1+n1n2)3
.....
Lambda-DE-Quintessence Derivatives:
Λk'(n) = d{Λk}/dn =
{GoMo/(ΠnkRH)2}{2(n-ΣΠnk-1+Πnk).(n-ΣΠnk-1)2 - 2(n-ΣΠnk-1).(n-ΣΠnk-1+Πnk)2}/{(n-ΣΠnk-1)4}
- {-6cHo(Πnk)2}/(n-ΣΠnk-1+Πnk)4
= {-2GoMo/ΠnkRH2}(n-ΣΠnk-1+Πnk)/(n-ΣΠnk-1)3 + {6cHo(Πnk)2}/(n-ΣΠnk-1+Πnk)4
= {6cHo(1)2}/{(n-0+1)4} - {2GoMo/1.RH2}{(n-0+1)/(n-0)3}........................................ for k=0
= {6cHo(1.n1)2}/{(n-1+n1)4} - {2GoMo/n1.RH2}{(n-1+n1)/(n-1)3}................................ for k=1
= {6cHo(1.n1.n2)2}/{(n-1-n1+n1.n2)4} - {2GoMo/n1n2.RH2}{(n-1-n1+n1n2)/(n-1-n1)3}...... for k=2
....
For k=0; {GoMo/3c2RH} = constant = n3/[n+1]5
for roots nΛmin = 0.23890175... and nΛmax = 11.97186...
{GoMo/2c2RH} = constant = [n]2/[n+1]5
for Λo-DE roots: n+/- = 0.1082331... and n-/+ = 3.40055...
for asymptote Λ0∞ = GoMo/RH2 = 7.894940128...x10-12 (m/s2)*
For k=1; {GoMo/3n13c2RH} = constant = [n-1]3/[n-1+n1]5 = [n-1]3/[n+233.472]5
for roots nΛmin = 7.66028... and nΛmax = 51,941.9..
{GoMo/2n14c2RH} = constant = [n-1]2/[n-1+n1]5 = [n-1]2/[n+233.472]5
for Λ1-DE roots: n+/- = 2.29966... and n-/+ = 7,161.518...
for asymptote Λ1∞ = GoMo/n12RH2 = 1.43604108...x10-16 (m/s2)*
172
For k=2; {GoMo/3n13n23c2RH} = constant = [n-1-n1]3/[n-1-n1+n1n2]5
= [n-235.472]3/[n+57,400.794]5
for roots nΛmin = 486.7205 and nΛmax = 2.0230105x108
{GoMo/2n14n24c2RH} = constant = [n-1-n1]2/[n-1-n1+n1n2]5 = [n-235.472]2/[n+57,400.794]5
for Λ2-DE roots: n+/- = 255.5865... and n-/+ = 1.15382943...x107 for asymptote
Λ2∞ = GoMo/n12n22RH2 = 2.37660590...x10-21 (m/s2)*
For k=3; {GoMo/3n13n23n33c2RH} = constant = [n-1-n1-n1n2]3/[n-1-n1-n1n2+n1n2n3]5
= [n-57,871.74]3/[n+1.47691729x107]5
for roots nΛmin = 67,972.496 and nΛmax = 8.3526797...x1011
{GoMo/2n14n24n34c2RH} = constant = [n-1-n1-n1n2]2/[n-1-n1-n1n2+n1n2n3]5
= [n-57,871.74]2/[n+1.47691729x107]5
for Λ3-DE roots: n+/- = 58,194.1... and n-/+ = 1.9010262...x1010 for asymptote
Λ3∞ = GoMo/n12n22n32RH2 = 3.59120049...x10-26 (m/s2)*
and where
Πnk=1=no and Πnk-1=0 for k=0
with Instanton/Inflaton resetting for initial boundary parameters
Λo/adeBroglie = {GoMo/Rk(n)2}/ΠnkRHfps2
= {GoMo(n-ΣΠnk-1+Πnk)2}/{[Πnk]2.RH2(n-ΣΠnk-1)2(ΠnkRHfps2)} = (Πnk)½Ωo
for Instanton-Inflaton Baryon Seed Constant Ωo = Mo*/MH* = 0.02803
for the kth universal matter evolution
k=0 for Reset n=nps=Hot and Λo/adeBroglie = GoMo(nps+1)2/{RH3nps2(fps2)}
= GoMo/RHc2 = Mo/2MH = ½Ωo
k=1 for Reset n=1+nps and Λo/adeBroglie = GoMo(1+nps-1+n1)2/{[n1]2.RH3(1+nps-1)2(n1fps2)}
= Mo/2n1MH = Mo/2MH* = ½Ωo*
k=2 for Reset n=n1+1+nps and Λo/adeBroglie
= GoMo(n1+1+nps-1-n1+n1n2)2/{[n1n2]2.RH3(n1+1+nps-1-n1)2(n1n2fps2)} = ½Ωo**
k=3 for Reset n=n1n2+n1+1+nps and Λo/adeBroglie
= GoMo(n1n2+n1+1+nps-1-n1-n1n2+n1n2n3)2/{[n1n2n3]2.RH3(n1n2+n1+1+nps-1-n1-n1n2)2(n1n2n3fps2)} = ½Ωo***
…..with nps = 2πΠnk-1.Xnk =λps/RH = Hotps = Ho/fps = ctps/RH and RH=2GoMH/c2
No=Hoto/no=Hot=n
N1=Hot1/n1=(n-1)/n1
N2=Hot2/n1n2=(n-1-n1)/n1n2
N3=Hot3/n1n2n3=(n-1-n1-n1n2)/n1n2n3
....
dn/dt=Ho
.....
Nk=Hotk/Πnk=(n-ΣΠnk-1)/Πnk
tk = t - (1/Ho)ΣΠnk-1 for no=1 and No=n
to=t=n/Ho=No/Ho=nRH/c
t1=t-1/Ho=(n-1)/Ho=[n1N1]/Ho
t2=t-(1+n1)/Ho=(n-1-n1)/Ho=(n1n2N2)/Ho
t3=t-(1+n1+n1n2)/Ho=(n-1-n1-n1n2)/Ho=(n1n2n3N3)/Ho
.......
173
R(n)=R(No)=noRH{n/[n+1]}=RH{n/[n+1]}
R1(N1)=n1RH{N1/[N1+1]}=n1RH{[n-1]/[n-1+n1]}
R2(N2)=n1n2RH{N2/[N2+1]}=n1n2RH{[n-1-n1]/[n-1-n1+n1n2]}
R3(N3)=n1n2n3RH{N3/[N3+1]}=n1n2n3RH{[n-1-n1-n1n2]/[n-1-n1-n1n2+n1n2n3}
.......
Rk(n) = ΠnkRH(n-ΣΠnk-1)/{n-ΣΠnk-1+Πnk}
.....= RH(n/[n+1]) = n1RH(N1/[N1+1]) = n1n2RH(N2/[N2+1]) =.....
Vk(n) = dRk(n)/dt = c{Πnk}2/{n-ΣΠnk-1+Πnk}2
.....= c/[n+1]2 = c/[N1+1]2 = c/[N2+1]2 =.....
.....= c/[n+1]2 = c(n1)2/[n-1+n1]2 = c(n1n2)2/[n-1-n1+n12n22]2 =.....
Ak(n) = d2Rk(n)/dt2 = -2cHo(Πnk)2/(n-ΣΠnk-1+Πnk)3
.....= -2cHo/(n+1)3 = -2cHo/n1(N1+1)3 = -2cHo/n1n2(N2+1)3=.....
..... = -2cHo/[n+1]3 = -2cHo{n1}2/[n-1+n1]3 = -2cHo(n1n2)2/[n-1-n1+n1n2]3 =....
GoMo is the Gravitational Parameter for the Baryon mass seed; Curvature Radius RH = c/Ho in the nodal
Hubble parameter Ho and c is the speed of light
Hubble Parameters:
H(n)|dS = {Vk(n)}/{Rk(n)} = {c[Πnk]2/[n-ΣΠnk-1+Πnk]2}/{Πnk.RH[n-ΣΠnk-1]/(n-ΣPnk-1+Πnk)}
= ΠnkHo/{[n-ΣΠnk-1][n-ΣΠnk-1+Πnk]}
H(n)|dS = Ho/{[n][n+1]}=Ho/T(n) = n1Ho/{[n-1][n-1+n1]} = n1n2Ho/{[n-1-n1][n-1-n1+n1n2]} =..... for dS
H(n)*|dS = Ho/[n-ΣΠnk-1] for oscillating H*(n) parameter for compacted recession velocity wavefront
between nodes k and k+1 ||nps+ΣΠnk-1 - ΣΠnk||
= Ho/(2-npresent) = Ho/0.86729 = 1.15302 Ho for npresent=1.1327127...
with dark matter sector
= Ho/{np/[1+np]}{(np/[1+np]+1]} = Ho[1+np]2/{np[2np+1]} = Ho/0.8132 = 1.22972 Ho for npresent=1.1327127...
without dark matter sector
H(n)|AdS = {Vk(n)}/{Rk(n)} = c/{RH(n-ΣΠnk-1)}
H(n)|AdS = Ho/(n-ΣΠnk-1)
H(n)|AdS = Ho/n = Ho/(n-1) = Ho/(n-1-n1) =..... for AdS
dH/dt|dS = (dH/dn)(dn/dt) = d{Ho/T(n)}/dn)Ho = -Ho2{2n+1}/{T(n)}2
= -Πnk.Ho2{2n-2ΣΠnk-1+Πnk}/{n2-2nΣΠnk-1+(ΣΠnk-1)2+Πnk[n-ΣΠnk]}2
= -ΠnkHo2{[2n-ΣΠnk-1 +Πnk]/{(n-ΣΠnk-1)(n-ΣΠnk-1+Πnk)}2
= -Ho2{2n+1}/{n2+n}2 = -n1Ho2{2n-1+n1}/{[n-1][n-1+n1]}2
= -n1n2Ho2{2n-n1+n1n2}/{[n-1-n1][n-1-n1+n1n2]}2 =…
dH/dt|AdS = (dH/dn)(dn/dt) = -Hoc/{(RH(n-ΣΠnk-1)2} = -Ho2/{n-ΣΠnk-1}2 for AdS and recession velocity
dH/dt|AdS = -Ho2/{n-ΣΠnk-1}2 .....= -Ho2/n2 = Ho2/(n-1)2 = -Ho2/(n-1-n1)2 = .....
174
dH/dt + 4πGoρ = - 4πGoP/c2 for spherical volume 4R3/3
dH/dt + 6π2Goρ = - 6π2GoP/c2 for horn torus volume 22R3
dH/dt + 4πGoMo/R(n)3 = 4Λ(n)/R(n) + 8nHo2/T(n)2 – Ho2(2n+1)/T(n)2 = - 4πGoP/c2
P(n,t) = -(n,t)c2/GoR(n)3 - {Ho2c2/4GoT(n)2}{2n[4-1]-1} = (2n+1)Ho2c2/4GoT(n)2 - Moc2/R(n)3 for dS with
Go = GoMo/R(n)3 = -GoP/c2 – (dH/dt)/4 = (n)/R(n) + 2cHo/R(n)[n+1]3 for Volume VdS = 4R(n)3/3
Λk(n)/Rk(n) = GoMo/{RH(n-ΣΠnk-1)}3 - Ho2/{2(n-ΣΠnk-1) }/{(n-ΣΠnk-1)(n-ΣΠnk-1+Πnk)}2
P(n=Hot) = c2Ho2(2n+1)/{4Go/T(n)2} - Moc2/R(n)3 ………
= c2Ho2{2(n-ΣΠnk-1)+1}/{4Go/{(n-ΣΠnk-1)(n-ΣΠnk-1+Πnk)}2 - Moc2(n-ΣΠnk-1+Πnk)3/{(n-ΣΠnk-1)RH}3
Deceleration Parameters:
qAdS(n)=-Ak(n)Rk(n)/Vk(n)2
= -{(-2cHo[Πnk]2)/(n-ΣΠnk-1+Πnk)3}{ΠnkRH(n-ΣΠnk-1)/(n-ΣΠnk-1+Πnk)}/{[Πnk]2c/(n-ΣΠnk-1+Πnk)}2
qAdS(n)= 2n ….= 2(n-ΣΠnk-1)/Πnk
qdS(n) = qAdS+dS(n) = 2(n-ΣΠnk-1)/Πnk
qdS(n) = 1/qAdS+dS(n) – 1 = 1/2n - 1 …= Πnk/{2[n-ΣΠnk-1} - 1
Scale factor modulation at Nk = {n-ΣΠnk-1}/Πnk = ½ reset coordinate
....= 2n = 2(n-1)/n1 = 2(n-1-n1)/(n1n2) = 2(n-1-n1-n1n2)/(n1n2n3) = ..... for AdS
....= 1/{2n} -1 = n1/{2[n-1]} -1 = n1n2/{2(n-1-n1)} -1 = n1n2n3/{2(n-1-n1-n1n2)} -1 = .... for dS
Dark Energy Initiation for qdS=0 with qAdS=1
k=0 for n = ½ = 0.50000 for q dS=0 with qAdS=1
k=1 for n = ½n1+1 = 118.236... for qdS=0 with qAdS=1
k=2 for n = ½n1n2+n1+1 = 29,053.605... qdS=0 with qAdS=1
k=3 for n = ½n1n2n3+n1n2+n1+1 = 7,471,394.054... qdS=0 with qAdS=1
Temperature:
T(n) =∜{Moc2/(1100σπ2.Rk(n)2.tk)} and for tk = (n-ΣΠnk-1)/Ho
Tk(n) = ∜{HoMoc2(n-ΣΠnk-1+Πnk)2/[1100σπ2.RH2.(n-ΣΠnk-1)3]}
=∜{(Ho3Mo(n-ΣΠnk-1+Πnk)2)/[1100σπ2(n-ΣΠnk-1)3]} = ∜{18.199(n-ΣΠnk-1+Πnk)2/(n-ΣΠnk-1)3}
T(n) = ∜{18.2[n+1]2/n3} = ∜{18.2[n-1+n1]2/(n-1)3} = ∜{18.2[n-1-n1+n1n2]2/(n-1-n1)3} =.....
175
Comoving Redshift:
z + 1 = √{(1+v/c)/(1-v/c)} = √{([n-ΣΠnk-1+Πnk]2+[Πnk]2)/([n-ΣΠnk-1+Πnk]2-[Πnk]2)}
= √{([n-ΣΠnk-1]2+2Πnk(n-ΣΠnk-1)+2(Πnk)2)/([n-ΣΠnk-1]2+2Πnk(n-ΣΠnk-1)}
= √{1 + 2(Πnk)2/{(n-ΣΠnk-1)(n-ΣΠnk-1+2Πnk)}
z+1 = √{ 1 + 2/{[n2-2nΣΠnk-1 +(ΣΠnk-1)2+2n-2ΣΠnk-1} = √{1+2/{n(n+2-2ΣΠnk-1) + ΣΠnk-1(ΣΠnk-1-2)}}
z+1 = √{1+2/(n[n+2])} = √{1+2/([n-1][n-1+2n1])} = √{1+2/([n-1-n1][n-1-n1+2n1n2])} =......
Baryon-Dark Matter Saturation:
ΩDM = 1-ΩBM until Saturation for BM-DM and Dark Energy Separation
ρBM+DM/ρcritical = MoRH3/MHR(n)3 = ΩoYn(1+1/n)3 = ΩoY{[n-ΣΠnk-1]/Πnk}/{(n-ΣΠnk-1)/(n-ΣΠnk-1+Πnk)}3
= MoY{[n-ΣΠnk-1]/Πnk}/{ρcriticalRk(n)3}
Baryon Matter Fraction: ΩBM = ΩoYn = …ΩoY{Nk} = Ωo.Y{[n-ΣΠnk-1]/Πnk}
Dark Matter Fraction: ΩDM = ΩoYn{(1+1/n)3 - 1} = ΩBM{(1+1/n)3 - 1}
ΩoY{[n-ΣΠnk-1]/Πnk}{1-{(n-ΣΠnk-1)/(n-ΣΠnk-1+Πnk)}3/{(n-ΣΠnk-1)/(n-ΣΠnk-1+Πnk)}3
=ΩoY{[n-ΣΠnk-1]/Πnk}{(n-ΣΠnk-1+Πnk)3-(n-ΣΠnk-1)3}/{n-ΣΠnk-1}3
= ΩoY{[n-ΣΠnk-1]/Πnk}{(1+Πnk/[n-ΣΠnk-1])3 -1} = ΩBM{(1+Πnk/[n-ΣΠnk-1])3 -1}
Dark Energy Fraction: ΩDE = 1- ΩDM - ΩBM = 1 - ΩBM{(1+Πnk/[n-ΣΠnk-1])3}
ΩBM=constant=0.0553575 from Saturation to Intersection with Dark Energy Fraction
ΩoY{[n-ΣΠnk-1]/Πnk} = ρBM+DMRk(n)3/MH = [Nk]3/[Nk+1]3 = {(n-ΣΠnk-1)/(n-ΣΠnk-1+Πnk)}3
= Rk(n)3/VH = VdS/VAdS
for ρBM+DM = MH/RH3 = ρcritical and for Saturation at Ni = 6.541188... = constant ∀ Ni
(Mo/MH).Y{[n-ΣΠnk-1]/Πnk} = {(n-ΣΠnk-1)/(n-ΣΠnk-1+Πnk)}3 with a Solution for f(n) in Newton-Raphson Root Iteration
and first Approximation x0
xk+1 = xk - f(n)/f'(n) = xk - {(Mo/MH).Y{[n-∑∏nk-1]/Πnk}
- (n-∑∏nk-1)/(n-ΣΠnk-1+Πnk)3}/{(Mo/MH).[lnY]Y{[n-ΣΠnk-1]/Πnk} - 3(n-ΣΠnk-1)2/(n-ΣΠnk-1+Πnk)4}
x1 = x0 - {(Mo/MH).Y[n] - (n/n+1)3}/{(Mo/MH).[lnY]Y[n] - 3n2/[n+1]4}
= x0 - {(Mo/MH).Y{N0} - (N0)3/(N0+1)3}/{(Mo/MH).[lnY]Y{N0} - 3(N0)2/1(N0+1)4}
x1 = x0 - {(Mo/MH).Y{[n-1]/n1} - (n-1)3/(n-1+n1)3}/{(Mo/MH).[lnY]Y{[n-1]/n1} - 3(n-1)2/(n-1+n1)4}
= x0 - {(Mo/MH).Y{N1} - (N1)3/(N1+1)3}/{(Mo/MH).[lnY]Y{N1} - 3(N1)2/n1(N1+1)4}
x1 = x0 - {(Mo/MH).Y{[n-1-n1]/n1n2} - (n-1-n1)3/(n-1-n1+n1n2)3}/{(Mo/MH).[lnY]Y{[n-1-n1]/n1n2}
- 3(n-1-n1)2/(n-1-n1+n1n2)4}
= x0 - {(Mo/MH).Y{N2} - (N2)3/(N2+1)3}/{(Mo/MH).[lnY]Y{N2} - 3(N1)2/n1n2(N2+1)4}
.......
176
n = 1.N0 = Ni = 6.541188....⇒ Ni ∀i for ∏nk = n0 = 1
n = n1N1+1 = (234.472)(6.541188...)+1 = 1534.725.... for ∏nk = n0n1 = n1
n = n1n2N2+1+n1 =(234.472x245.813)(6.541172)+1+234.472= 377,244.12 for ∏nk = n0n1n2 = n1n2
n = n1n2n3N3+1+n1+n1n2 = (234.472x245.813x257.252)(6.541172)+1+234.472+(234.472x245.813)
97,044,120.93.... for ∏nk = n0n1n2n3= n1n2n3 ......
Baryon-Dark Matter Intersection:
Nk=√2 for n = √2.Πnk + ΣΠnk-1
n0 = 1.√2 + 0 = no
n1 = n1√2 + 1 = 332.593 = n1√2 + 1
n2 = n1n2√2 + 1 + n1 = 81,745.461n3 = n1n2n3√2 + 1 + n1 +n1n2 = 21,026,479.35....
177
=
Hypermass Evolution:
Yk{(n-ΣΠnk-1)/Πnk} = 2nk.RH/λps = Πnk.RH/rps = ΠnkMH*k/mH*k for MH = c2RH/2Go and mH = c2rps/2Go
Hypermass MHyper = mH.Yk{(n-ΣΠnk-1)/Πnk}
.....= Yn = Y([n-1]/n1) = Y([n-1-n1]/n1n2) =.....
k=0 for MHyper = MH = 1.MH = mH.Y{(n)} with n = 1.{ln(2π/nps)/lnY} = n1 = 234.472
k=1 for MHyper = n1.MH = MH* = mH.Y{(n-1)/n1} with n = [1] + n1.{ln(2πn1/nps)/lnY} = [1] + n1n2
= 1 + 234.472x245.812 = 57,637.03
k=2 for MHyper = n1n2.MH = MH** = mH.Y{(n-1-n1)/n1n2} with n = [1 + n1] + n1n2.{ln(2πn1n2/nps)/lnY}
[1 + n1] + n1n2n3
= 235.472 + 234.472x245.812x257.251 = 14,827,185.4
k=3 for MHyper = n1n2n3.MH = MH*** = mH.Y{(n-1-n1-n1n2)/n1n2n3} with n = with n = [1 + n1 + n1n2] +
n1n2n3.{ln(2πn1n2n3/nps)/lnY} = [1 + n1 + n1n2] + n1n2n3n4
= 57,871.74 + 234.472x245.812x257.251x268.785 = 3,985,817,947.8
178
=
IX: Ylemic Gluon-Quark-Plasma Protostars as Vortex QBBS Energies
The stability of stars is a function of the equilibrium condition, which balances the inward pull of gravity with
the outward pressure of the thermodynamic energy or enthalpy of the star (H=PV+U).
The Jeans Mass MJ and the Jeans Length RJ a used to describe the stability conditions for collapsing
molecular hydrogen clouds to form stars say, are well known in the scientific data base, say in formulations
such as:
MJ=3kBTR/2Gm for a Jeans Length of RJ=√{15kBT/(4πρGm)}=RJ =√(kBT/Gnm²).
Now the Ideal Gas Law of basic thermodynamics states that the internal pressure P and Volume of such an
ideal gas are given by PV=nRT=NkBT for n moles of substance being the Number N of molecules (say) divided
by Avogadro's Constant L in n=N/L .
Since the Ideal Gas Constant R divided by Avogadro's Constant L and defines Boltzmann's Constant k=R/L.
The statistical analysis of kinetic energy KE of particles in motion in a gas (say) gives a root-mean-square
velocity (rms) and the familiar 2.KE=mv²(rms) from the distribution of individual velocities v in such a
system.
It is found that PV=(2/3)N.KE as a total system described by the v(rms). Setting the KE equal to the
Gravitational PE=GMm/R for a spherical gas cloud gives the Jeans Mass (3/2N).(NkBT)=GMm/R with m the
mass of a nucleon or Hydrogen atom and M=MJ=3kBTR/2Gm as stated.
The Jeans' Length is the critical radius of a cloud (typically a cloud of interstellar dust) where thermal energy,
which causes the cloud to expand, is counter acted by gravity, which causes the cloud to collapse. It is
named after the British astronomer Sir James Jeans, who first derived the quantity; where kB is Boltzmann
Constant, T is the temperature of the cloud, R is the radius of the cloud, m is the mass per particle in the
cloud, G is the Gravitational Constant and ρ is the cloud's mass density (i.e., the cloud's mass divided by the
cloud's volume).
Shortly after the Big Bang, there were of course no gas clouds in the early expanding universe and the Jeans
formulations are not applicable to the mass seedling Mo; in the manner of the Jeans formulations as given.
However, the universe's dynamics is in the form of the expansion parameter of General Relativity and so as
R(n)=Rmax(n/(n+1)) with the scale factor of Quantum Relativity.
Expressing the Jeans radius in the form of the Hawking radius of primordial micro black holes with a fixed
nuclear density defined by subatomic parameters of the timespace made manifest in the QBBS, then allows
analysis of the thermodynamic universe expansion as a function of temperature, independent on the
distribution of the mass seedling Mo.as the Gamow-Hawking protostars matching the universal temperature
background as potential vortex energies given by the Hawking masses.
The thermal internal energy or ITE=H is the outward pressure in equilibrium with the gravitational potential
energy of GPE=Ω. The nuclear density in terms of the super brane parameters is ρ critical=mc/Vcritical with mc a
base-nucleon mass for an 'ylemic neutron'.
179
Vcritical= 4πRe3/3 or the volume for the ylemic neutron as given by the classical electron radius
Re=1010λps/360={e*/2c2}mod.
H=(molarity)kBT for molar volume as N=(R/Re)3 for dH=3kBTR2/Re3
The gravitational potential energy is Ω(R) = -∫GoMdm/R
= -4Go∫{4R3/3}{R2/R}dR
= -{22Go/3}∫R4dR = -{22Go/15}{R5}
d/dR=-{22Go/3}{R4}=-3Gomc2R4 for dM/dR=d(ρV)/dR=4πρR2 and for ρ=M/V=3mc/4πRe3
For equilibrium, the requirement is that dH=dΩ in the minimum condition dH+dΩ=0.
This gives dH+dΩ = 3kBTR2/Re3 - 3Gomc2R4 = 0 and the ylemic radius as:
Rylem=√{kBTRe/Gomc2} ………………………….[Eq.VIII-1]
as the Jeans-Length precursor or progenitor for subsequent stellar and galactic generation.
The ylemic (Jeans) radii are all independent of the mass of the star as a function of its nuclear generated
temperature.
Applied to the proto stars of the vortex neutron matter or ylem, the radii are all neutron star radii and
define a specific range of radii for the gravitational collapse of the electron degenerate matter.
These spans from the 'First Three Minutes' scenario of the cosmogenesis to 1.1 million seconds (or about 13
days) and encompasses the standard beta decay of the neutron, underpinning radioactivity.
The upper limit defines a trillion-degree temperature and a radius of over 40 km; the trivial Schwarzschild
solution gives a typical ylem radius of so 7.4 kilometers and the lower limit defines the 'mysterious'
planetesimal limit as 1.8 km.
For long a cosmological conundrum, it could not be modelled just how the molecular and electromagnetic
forces applicable to conglomerate matter distributions (say gaseous hydrogen as cosmic dust) on the
quantum scale of molecules could become strong enough to form say 1 km mass concentrations, required
for 'ordinary' gravity to assume control.
The ylem radii's lower limit is defined in the cosmology as the Dirac monopole wavelength modulation at
the 1.0 – 1.2 billion Kelvin degree marking the temperature of the universe in its defining Hawking-Gamow
micro-mass black holes, which apply the Jeans formulation of hydrogen clouds to the primordial ylemic
dineutron scenario.
The stellar evolution from the ylemic (di-neutronic) templates is well established in QR and confirms most of
the Standard Model's ideas of nucleosynthesis and the general cosmology for a thermodynamically
expanding universe.
180
n=Hot
t=
Radius m*
R(n)=RH{n/[n+1]
Mod
factor
Quantum Modulation
Cosmologica
l
comoving
redshift
z+1=√{1+2/n
[n+2]}
Energy
J*/GeV*
2.559x
10-12
15.77
days
*=4.087933536x1014
Monopolar mean
classical bound
2r**
MQB=1
.351
2r*=3.30485x10-15
Monopolar mean
quantum bound
625,160.7
2.253x
10-12
1.2x10
6
s*
13.888
days
RE*=3.6x1014 as
360xRex1012=1/RE*
1
Re*=Re=1010ps/360
666,181.2
181
Temperature
CBBR
T=
∜{18.2(n+1)2/n
3
}
of cycle time n
THawking/Tylem = 1
= hcRe3/
2Gomc2Rylem2R
Hawking Boson
Energy E=kBT
1.0210x109 K*
1.44x10-14
J*/89.723 keV*
1.1231x109 K*
1.59x10-14
J*/98.696 keV*
Hawking
bh
Radius
Ylem
Radius
Hawking
Mass
Hawking Temp
THawking=hc3/4kBGoMHawki
2.2084x1
0-12 m*
1,680.10
m*
8.9440x1
014 kg*
2.0076x1
0-12 m*
1,762.10
m*
8.1309x1
014 kg*
Rylem=Rcurv for
Mylem=6.80x1029
kg*/0.340Msun
ng
Ylem Radius
Rylem=√{kBTRe3/Gomc2}
Hawking Radius
RHawking=hc/2kBTHawking
Hawking Mass
MHawking=RHawkingc2/2Go
unity modulation
bounded by Dirac’s
monopole
Rylem=Rcurv for
Mylem=7.14x1029
kg*/0.357Msun
2.151x
10-12
13.256
1 days
RE=∛E(λweyl/2π)=3.4359
7108x1014
RERe
0.9544
Re=2.7778x10-15
681,897.2
1.1630x109 K*
1.64x10-14
J*/102.20 keV*
4.895x
10-14
26,069
.4 s*
7.24
hours
7.82083x1012
4.945x1
0-4
6.32267x10-17
4.5198x106
1.9847x1010 K*
2.80x10-13
J*/1.744 MeV*
2.117x
10-14
11,274
.58 s*
3.132
hours
3.38237x1012
9249x1
0-5
2.73445x10-17
6.8728x106
3.7215x1010 K*
5.25x10-13
J*/3.270 MeV*
6.05875x
10-14 m*
10,143.3
4 m*
2.4538x1
013 kg*
1.938x
10-14
10,320
.0 s*
2.87
hours
3.0959915x1012
7.749x1
0-5
2.502924x10-17
7.1836x106
3.9768x1010 K*
5.61x10-13
J*/3.495 MeV*
5.6698x1
0-14 m*
10,485.5
5 m*
2.2963x1
013 kg*
1.013x
10-14
5395.0
5 s*
1.50
hours
1.618509x1012
2.1x10-5
1.3084678x10-17
9.9354x106
6.4684x1010 K*
9.13x10-13
J*/5.684 MeV*
3.4858x1
0-14 m*
13,372.8
4 m*
1.4117x1
013 kg*
4.028x
10-15
2144.9
6 s*
32.749
min
2.160x
10-15
1150.3
6 s*
19.173
min
2.123x
10-15
1130.5
2 s*
18.842
0 min
6.43488x1011
3.348x1
0-6
5.20221x10-18
1.5757x107
1.2919x1011 K*
1.82x10-12 J*
/11.35 MeV*
RF=∛F(λweyl/2π)=3.4510
7750x1011
9.6x10-7
Rf=2.789990x10-18
2.15163x107
2.0614x1011 K*
2.91x10-12
J*/18.12 MeV*
RG=∛G(λweyl/2π)=3.3915
5801x1011
9.3x10-7
Rg=2.741872x10-18
2.17042x107
2.0885x1011 K*
2.95x10-12
J*/18.35 MeV*
1.7453x1
0-14 m*
18,899.0
0 m*
7.0686x1
012 kg*
1.0938x1
0-14 m*
23,872.8
7 m*
4.4299x1
012 kg*
1.0796x1
0-14 m*
24,029.2
8 m*
4.3724x1
012 kg*
182
1.9387x1
0-12 m*
1,793.13
7 m*
7.8519x1
014 kg*
1.1361x1
0-13 m*
7,407.40
7 m*
4.6011x1
013 kg*
Rylem=Rcurv for
Mylem=7.26x1029
kg*/0.363Msun
Nuclear density
nuc=3mcYn/4{Re}3
(1.105-1.907)x1016
[kg/m3]*
Rylem=√{3kBT/4Gomcnuc}
for 1.5 MSun
M=mss=hfss/c2 mass
quantization for space
quanta count
M/mss=h/mssc2=hfps/h=fp
30
s|mod=3x10 as
Mchandra=1.50 MSun
RHawking=Re/2 =
Compton radius Ess
modulation
Electron degeneracy core
for neutron stars
Rylem=Rcurv for
Mylem=4.11x1030
kg*/2.054Msun
Modulation
MQB/0.9544=1.41555
for Mchandra
lower TolmanOppenheimer-Volkoff
(TOV) limit for neutron
stars Rylem=Rcurv for
Mylem=4.25x1030
kg*/2.123 Msun
Neutron decay mass loss:
8.844/4.900=1.805
Increases Mchandra to
1.805Mchandra=2.708 Msun
as upper TOV-limit for
neutron stars
Rylem=Rcurv for
Mylem=5.42x1030
kg*/2.708 Msun
RHawking=2Re
Rylem=Rcurv for
Mylem=7.65x1030
kg*/3.827Msun
Rylem=Rcurv for
Mylem=9.67x1030
kg*/4.834Msun
Rylem=Rcurv for
Mylem=9.73x1030
kg*/4.866Msun
2.084x
10-15
1109.9
6 s*
18.499
min
RF’=∛F’)(λweyl/2π)=3.329
87275x1011
9.0x10-7
Rf’=2.69200x10-18
2.19044x107
2.1175x1011 K*
2.99x10-12
J*/18.61 MeV*
1.0648x1
0-14 m*
24,195.5
4 m*
4.3125x1
012 kg*
Primordial neutron
decay: F’-2RMP
(1109.96-229.82) s* =
880.14 s*/879.28 s
from Higgs Boson with
RMP template
Neutron decay mass loss:
8.844/4.900=1.805
Increases Mchandra to
1.805Mchandra=2.708 Msun
as upper TOV-limit for
neutron stars
Rylem=Rcurv for
Mylem=9.80x1030
kg*/4.900Msun
8.754x
10-16
466.18
6 s*
7.770
min
4.315x
10-16
229.82
1 s*
3.8304
min
1.39856x1011
1.6x10-7
8.5232x10-19
3.89284x107
5.0167x1011 K*
7.08x10-12
J*/44.09 MeV*
RHawking=2Re
Rylem=Rcurv for
Mylem=1.3566x1031
kg*/6.78Msun
Rneutrondecay=6.8946323x
1010
3.8x10-8
2RMP=42RRMP=5.57
389763x10-19
4.81381x107
6.89874x1011
K*
9.74x10-12
J*/60.62 MeV*
5.55556x
10-15 m*
33,497.3
3 m*
2.2500x1
012 kg*
3.2684x1
0-15 m*
43,672.5
4 m*
1.3237x1
012 kg*
3.474x
10-16
185.00
6 s*
3.083
min
5.550187x1010
2.5x10-8
4.486994x10-19
5.36526x107
8.1172x1011 K*
1.15x10-11
J*/71.33 MeV*
to
3.1636x1012 K*
2.7778x1
0-15 m*
47,372.4
0 m*
1.1250x1
012 kg*
1.829x
10-16
97.398
s*
1.623
min
2.921968x1010
6.9x10-9
2.362236x10-19
7.39446x107
1.3134x1012 K*
1.85x10-11
J*/115.4 MeV*
to
1.3401x1013 K*
1.7168x1
0-15 m*
60,257.9
4 m*
6.9529x1
011 kg*
RHawking=Re limited by
nucleon=mc/Re3
Nuclear density
nuc=3mcYn/4{Re}3
(1.105-1.907)x1016
[kg/m3]*
Rylem=Rcurv for
Mylem=1.92x1031
kg*/9.593Msun
RHawking=XRe limited by
nucleon=Y3mc/Re3
1.379x
10-16
73.422
s*
1.224
min
2.202648x1010
1.6234x1012 K*
2.29x10-11
J*/142.7 MeV*
to
2.5309x1013 K*
1.3889x1
0-15 m*
66,994.0
7 m*
5.6250x1
011 kg*
3.9x10-9
1.780709x10-19
8.51671x107
183
Beginning of neutron
decay
from Higgs Boson with
RMP template
Rylem=Rcurv for
Mylem=1.77x1031
kg*/8.844Msun
Nuclear density
nuc=3mcYn/4{XRe}3
(4.683-8.077)x1016
[kg/m3]*
Rylem=Rcurv for
Mylem=2.44x1031
kg*/12.202Msun
RHawking=½Re=protonic
diameter limited by
nucleon=8mc/Re3
Nuclear density
nuc=3mcYn/4{½Re}3
(8.844-15.253)x1016
[kg/m3]*
Rylem=Rcurv for
Mylem=2.71x1031
kg*/13.566Msun
7.258x
10-17
38.650
s*
1.159515x1010
1.1x10-9
9.37398x10-20
1.17383x108
2.6268x1012 K*
3.71x10-11
J*/230.8 MeV*
to
1.0721x1014 K*
8.5838x1
0-16 m*
85,218.2
7 m*
3.4764x1
011 kg*
5.664x
10-17
30.164
s*
9.04906x109
6.6x10-
7.31562x10-20
1.32875x108
3.163603x1012
K*
4.47x10-11
J*/278.0 MeV*
7.1272x1
0-16 m*
93,522.1
6 m*
2.8865x1
011 kg*
2.996x
10-17
15.957
s*
4.78696x109
3.86997x10-20
1.82690x108
5.1002x1012 K*
7.20x10-11
J*/448.2 MeV*
8.264x
10-18
4.401
s*
1.320239x109
1.0673343x10-20
3.4787x108
1.340124x1013
K*
1.53x10-10
J*/954.8 MeV*
4.42097x
10-16 m*
118,744.
56 m*
1.7905x1
011 kg*
1.6825x1
0-16 m*
192,484.
62 m*
6.8141x1
010 kg*
RHawking=Re/2 Ess
modulation
Neutron degeneracy
Rylem=Rcurv for
Mylem=4.81x1031
kg*/24.05Msun
For neutron degeneracy
in the diameter of a
protonic nucleus
nucleon=Y3mcRe
Rylem=Rcurv for
Mylem=7.7956x1031
kg*/38.978Msun
3.540x
10-18
1.885
s*
5.65566x108
4.572262x10-21
5.3150x108
2.530882x1013
K*
3.57x10-10
J*/2.22 GeV*
8.9090x1
0-17 m*
264,520.
60 m*
3.6081x1
010 kg*
For neutron degeneracy
in the radial size of a
protonic nucleus
nucleon=8mc3Re3
Rylem=Rcurv for
Mylem=1.07131x1032
kg*/53.565Msun
5.165x
10-19
0.2750
5 s*
8.251498x107
6.670843x10-22
1.3915x109
1.072099x1014
K*
1.51x10-9
J*/9.42 GeV*
2.1031x1
0-17 m*
544,428.
68 m*
8.5177x1
09 kg*
4.917x
10-19
0.2618
s*
7.85497x106
6.23027x10-23
1.4262x109
1.11243x1014
K*
1.57x10-9
J*/9.78 GeV*
2.0269x1
0-17 m*
554,574.
32 m*
8.2089x1
09 kg*
For neutron degeneracy
in the charge radius of a
proton nucleon=8Y3mcRe3 =
Quark star limit
Rylem=Rcurv for
Mylem=2.20494x1032
kg*/110.247Msun
RHawking= Re = Inverse
Compton radius
Rylem=Rcurv for
Mylem=2.25x1032
kg*/112.30Msun
10
1.9x1010
1.4x1011
2.6x1012
5.5x1014
4.9x1016
184
RHawking=½XRe limited by
nucleon=8Y3mc/Re3
Nuclear density
nuc=3mcYn/4{½XRe}3
(3.746-6.461)x1017
[kg/m3]*
Rylem=Rcurv for
Mylem=3.45x1031
kg*/17.257Msun
For electron degeneracy
nucleon=mc/Re3 for a
temperature limit of
THawking=mcc2/2kB=3.16360
3x1012 K* = Neutron starblack hole limit
nucleon=BH
Rylem=Rcurv for
Mylem=3.7876x1031
kg*/18.938Msun
1.340x
10-20
1/140
=0.007
137
REW=2.141143x106
Dark matter universe is
illuminated as the EMI
light path intersects the
dark matter haloed
ylemic universe
3.7x10-
6.958x
10-22
0.0003
7
111,173.6
1.0x10-
3.562x
10-27
1.897x
10-9
RBU=0.569092
universe is 1.1382
meters across
encompassed by a ylem
dark matter halo of
radius 6.2584x108 m*
in the inflaton EMMI
universe
17
1.730986x10-23
Ylemic radius shrinks
as the radial universe
expands with the
separation of the
short range nuclear
weakon interaction
from the long-range
electromagnetic
interaction
8.6382x109
1.65825x1015
K*
2.34x10-8
J*/146 GeV*
1.3597x1
0-18 m*
2.14115x
106 m*
5.5069x1
08 kg*
8.98772x10-25
3.791x1010
1.799x10-30
J*
1.120x10-11
eV*
1.52452x1016
K*
2.15x10-7
J*/1.34 TeV*
1.4790x1
0-19 m*
6.4921x1
06 m*
5.9898x1
07 kg*
7.038245x1028
Ylemic universe is
manifested in the
primordial Hawking
micro black hole
defining the dark
matter ylemic halo
1.676x1012
3.515x10-25
J*
2.19x10-6
eV*
Tps=1.4167x1020
K*
0.002
J*/12,449.8
TeV*
1.59155x
10-23 m*
6.2584x1
08m*
6445.78
kg*
19
4.0x102
8
185
Electroweak Unification
TEW=E/kB=2x1015 K*
(146-251)GeV* for {W+W++Zo}
Rylem = R(n) as size of the
universe
Dark matter halo defined
as a quark-lepton
geometric kernel-ring
structure crystallizing the
ylem neutrons from the
Higgs Boson and RMP
template
Rylem=Rcurv for
Mylem=8.67x1032
kg*/433.6.7Msun
RHawking=2Re = Inverse 1st
Bohr radius for ylemic
template for atomic
structure as microHawking black hole to
manifest at
RHawking/4=9.798883x10-7
m*
Rylem=Rcurv for
Mylem=2.63x1033
kg*/1314.7Msun
Bosonic temperature
unification
T(n)=∜{{Ho3Mo/1100π2σ}.(
n+1)2/n3}
=∜{18.2(n+1)2/n3}=Tps=1.4
167x1020 K*
Rylem=Rcurv for
Mylem=2.53x1035
kg*/126,732.0Msun
The standard model is correct in the temperature assignment but is amiss in the corresponding 'size-scales'
for the cosmic expansion. The Big Bang cosmogenesis describes the universe as a Planck-Black Body
Radiator, which sets the Cosmic-Microwave-Black Body Background Radiation Spectrum (CMBR) as a
function of n as T4=18.2(n+1)2/n3 and derived from the Stefan-Boltzmann-Law and the related statistical
frequency distributions.
The metric from General Relativity for Schwarzschild-Black Hole Evolution has RS=2GM/c² as a function of
the star's Black Hole's mass M and we have the ylemic Radius as a function of temperature only as
Rylem√(kBT.Re3/Gomc2).
The nucleonic mass-seed mc=mplanck9 and the product Gomc2 is a constant in the partitioned evolution of
mc(n)=Yn.mc and G(n)=Go.Xn.
Identifying the ylemic Radius with the Hawking radius gives the properties of the micro-mass black hole at
the temperature of the universe and identifying the ylemic radius with a standard Schwarzschild radius gives
the properties of neutron-quark stars at their local temperatures as manifesting vortex energies from their
Hawking-Gamow ylemic seedling black holes at a later n-cycle coordinate and in a later and cooler universe.
186
Quantum Relativity (QR) defines the Weyl-Temperature limit for Bosonic Unification as 1.9 nanoseconds at a
temperature of 1.42x1020 Kelvin and the weak-electromagnetic unification at 1/140 seconds or 7
microseconds at T=1.68x1015 K*.
The earliest ylem stars are limited at a temperature of 1.68x1015 K* at the electroweak unification nexus
with a mass limit of 433.58 Msun or 8.672x1032 kg* as the first potential for an ylemic proto-star after the
bosonic unification and after the undifferentiated 'bosonic plasma' entered its phase of the QBBS
temperature no longer exceeding the temperature and energy of individualised elementary particles,
enabling the di-neutrons to be born as ylem or Gamow's neutron matter.
185 seconds or 3 minutes after the Instanton, the universe was so 111 Million km across, when its ylemic
'concentrated' VPE-Temperature was so 812 Billion K* and the Hawking radius was the same as the radius of
the classical electron for a micro black hole mass of 1.1x10 12 kg* and an ylem radius of 47.4 km* indicating a
future black hole macro-mass of 1.9x1031 kg* as 9.6 Msun as a limiting quark gluon-plasma star.
The 'pixelated' universe so became scaled in ylemic temperature bubbles in the form of primordial WhiteHole-Sources coupled to Black Hole-Sinks in a form of macro quanta to reflect the sourcesink Eps coupled to
the sinksource Ess of the underpinning elementary super membrane Eps.Ess. As the universe continued its
expansion, the WH-BH dyads remained as temperature hotspots embedded within the cooling spacetime as
the Black Body Radiator of the cosmogenesis.
As the universe expanded and cooled, the first ylem stars crystallized from the mass seedling M o. The
universe's expansion however cooled the CMBR background and as the temperature characterizing the
Chandrasekar white dwarf-neutron star limit is at a temperature of 20 Billion Kelvin, the size of the universe
at this temperature provides an upper limit for the size of a star in 7.8x10 12 m* or a radius 7.8 billion
kilometers. This encompasses about 52 Astronomical Units (1 AU=1.5x10 8 km as the distance between the
earth and the sun) and so the radial extent and the 'size' of a typical solar system, encompassed by
supergiants on the HR-diagram.
The ylemic temperature decreases in direct proportion to the square of the ylemic radius and one hitherto
enigmatic aspect in cosmology relates to this in the planetesimal limit. A temperature of so 1.2 billion
degrees defines an ylemic radius of 1.8 km as the dineutronic limit for proto-neutron stars contracting from
47.4 km* down to this size just 1.1 million seconds or so 13 days after the Quantum Big Bang Dirac
Singularity.
Chunks of matter can conglomerate via molecular and other adhesive interactions towards this size, where
then the accepted gravity is strong enough to build planets and moons; but the ylemic template is defined in
subatomic parameters reflecting the mesonic inner and leptonic outer ring boundaries and this the
planetesimal limit becomes the modulation of the Dirac monopole wavelength as the mapping of the
leptonic outer ring. So, neutrino-gluon and quark blueprints micro-macro dance their basic definition as the
holographic projections of the space-time quanta.
The nuclear density for neutron stars for electron degeneracy at the leptonic ring is increased for neutron
degeneracy at the mesonic ring and therefore modifies the Chandra mass limit for white dwarves in the
Tolman-Oppenheimer-Volkoff (TOV) limit for neutron stars.
187
A lower limit for the TOV limit is obtained in the Dirac monopole modulation MQB/0.9544=1.41555
increasing the Chandrasekar mass to 1.5x1.41555=2.123 solar masses. The upper limit considers the
primordial neutron decay as superimposed onto the ylemic mass evolution in the loss of neutrons between
the mass content of the ylemic protostars at the beginning and the end of the primordial beta minus decay
of lefthanded neutrons into lefthanded protons and lefthanded electrons with righthanded antineutrinos.
At the beginning of the 880.14 seconds the ylemic Hawking mass would be 8.844 solar masses as a function
of its radius and reducing to 4.900 solar masses at the end of neutron decay for a mass fraction of 1.804.
The upper TOV limit for the Chandrasekar mass so becomes 1.5x1.804=2.706 solar masses.
Hence any star experiencing electron degeneracy is actually becoming ylemic or dineutronic, the boundary
for this process being the Chandrasekhar mass, extended to the TOV mass for neutron degeneracy. The
ylemic protostar mass at the beginning of neutron decay also sets a natural limit for any stellar black holes
in 8.844 solar masses or 1.769x1031 kg*.
The density of a black hole is calculated from BH=MBH/VBH =MBHc6/8Go3MBH3=c6/8Go3MBH2=c2/2Gorcurv2=
c2/2Gorylem2={mcc2/2kBTHawking}{mc/Re3}={mcc2/2kBTHawking}{nucleon}
For Hawking’s micro black holes activated as Gamow’s ylemic protostars then, the relationship between the
black hole density and the neutron star density becomes a function of the ylemic-universal temperature
projected from the ylem time into the future time when the neutron stars, magnetars and quark stars would
be born from as the remnants of supernovae or the merger of neutron stars with each other or black holes.
kBTHawking=½mcc2{nucleon}/BH} and the limit for an electron degenerate star is given in the black hole density
equal to the nucleon density for kBTHawking=½mcc2 and so for a temperature THawking=mcc2/2kB=3.163603x1012
K*
For electron degeneracy nucleon=mc/Re3; for a temperature limit of THawking=mcc2/2kB=3.163603x1012 K*
For neutron degeneracy in the diameter of a protonic nucleus nucleon=Y3mcRe3; for a temperature limit of
THawking=Y3mcc2/2kB=1.340124x1013 K*
For neutron degeneracy in the radial size of a protonic nucleus nucleon=8mc3Re3; for a temperature limit of
THawking=8mcc2/2kB=2.530882x1013 K*
For neutron degeneracy in the charge radius of a proton nucleon=8Y3mcRe3; for a
temperature limit of THawking=8Y3mcc2/2kB=1.072099x1014 K*
Considering the size of the proton for neutron degeneracy engages a displacement scale from 2.778 to
0.858 fermi in a factor of 3.235 for a change in the nuclear density in a factor of (3.235) 3=33.87 from
1.105x1016 – 3.743x1017 [kg/m3]*.
188
Macrostate
Tps|mod
3.602774x10-12 K*
←
Tps=1.41671x1020 K*
THawking
Macrostate
Tps=1.41671x1020 K*
THawking
Microstate
←
Mcurv=RHawkingc2/2Go
2.534656x1035 kg*
→
6.258410x108 m*
Rylem=√{kBTHawkingRe3/Gomc2}
→
rps=1.591549x10-23 m*
RHawking=hc/2kBTHawking=Rcurv
RHawking=hc/2kBTcurv
6.258410x108 m*
←
→
2.534656x1035 kg*
Mcurv=Rylemc2/2Go
→
→
6445.775 kg*
Mcurv=Rcurvc2/2Go
→
Macrostate
Tylem as Tcurv as THawking
3.602774x10-12 K*
3.602774x10-12 K*
Tcurv=hc/2kBRylem
Macrostate
Tps=1.41671x1020 K*
THawking=hc/2kBRcurv
Microstate
For the Bosonic Temperature unification nBU=HotBU=3.562x10-27 for TCMBR=Tps=1.417x1020 K* a Hawking
radius RHawking=rps=hc/2kBTHawking=1.591x10-23 m* for a present micro black hole mass
Mylem=HM/THawking=6445.78 kg* infers a macrostate ylem radius 6.258x10 8 m* as a Hawking microstate
radius for a macrostate HM black hole mass of Mcurv=HM/Tylem=2.535x1035 kg*; for a ylem temperature
Tylem=3.603x10-12 K*modulating the macrostate in the microstate as a minimum boundary self-state for the
age of the universe.
Macrostate
TEW|mod
1.0530621x10-9 K*
←
TEW=1.65825x1015 K*
THawking
Macrostate
TEW=1.65825x1015 K*
THawking
Microstate
←
Mcurv=RHawkingc2/2Go
8.671658x1032 kg*
2.14115x106 m*
RHawking=hc/2kBTcurv
2.14115x106 m*
←
8.671658x1032 kg*
→
Rylem=√{kBTHawkingRe3/Gomc2}
→
1.359725x10-18 m*
RHawking=hc/2kBTHawking=Rcurv
Macrostate
Tylem as Tcurv as THawking
1.0530621x10-9 K*
1.0530621x10-9 K*
→
Mcurv=Rylemc2/2Go
→
→
5.506886x108 kg*
Mcurv=Rcurvc2/2Go
→
Tcurv=hc/2kBRylem
Macrostate
TEW=5.618369x1012 K*
THawking=hc/2kBRcurv
Microstate
For the electroweak unification nEW=HotEW=1.340x10-20 for TCMBR=TEW=1.658x1015 K* a Hawking radius
RHawking=rEW=hc/2kBTHawking=1.360x10-18 m* for a present micro black hole mass Mylem=HM/THawking=5.507x108
kg* infers a macrostate ylem radius 2.141x106 m* as a Hawking microstate radius for a macrostate HM black
hole mass of Mcurv=HM/Tylem=8.671x1032 kg*; for a ylem temperature Tylem=1.053x10-9 K*modulating the
macrostate in the microstate as a minimum boundary self-state for the age of the universe.
Macrostate
Tpresent|mod
0.02589 K*
←
Tpresent=2.747 K*
THawking
Macrostate
Tpresent=2.747 K*
THawking
Microstate
Mcurv=RHawkingc2/2Go
3.527x1025 kg*
←
RHawking=hc/2kBTcurv
0.08709 m*
←
3.527x1025 kg*
0.08709 m*
0.02589 K*
→
Rylem=√{kBTHawkingRe3/Gomc2}
→
Mcurv=Rylemc2/2Go
→
→
8.208x10-4 m*
RHawking=hc/2kBTHawking=Rcurv
→
3.324x1023 kg*
Mcurv=Rcurvc2/2Go
→
189
Macrostate
Tylem as Tcurv as THawking
0.02589 K*
Tcurv=hc/2kBRylem
Macrostate
Tpresent=2.747 K*
THawking=hc/2kBRcurv
Microstate
For a present n-cycle coordinate npresent=1.132712 for TCMBR=2.747 K* a Hawking radius
RHawking=rHpresent=hc/2kBTHawking=8.208x10-4 m* for a present micro black hole mass
Mylem=HM/THawking=3.324x1023 kg* infers a macrostate ylem radius 0.0871 m* as a Hawking microstate radius
for a macrostate HM black hole mass of Mcurv=HM/Tylem=3.527x1025 kg*; for a ylem temperature
Tylem=0.0259 K* modulating the macrostate in the microstate as a maximum boundary self-state for the age
of the universe.
As the ylem radius is proportional to the square root of the ylem universal temperature but decreases with
time in the universal temperature evolution for an increase in a black hole’s radius; the increase of the ylem
protostar mass with temperature is compensated in the inverse proportionality in the Hawking modulus in
the radii of the ylem protostar and the curvature.
RHawking = hc/2kBTHawking = 2GoM/c2 = Rcurv = Rylem=√{kBTRe3/Gomc2}.
Nuclear density then varies as nuclear={3c4kB/16Go3mc}T/M2 = {5.0129636x1066} T/M2 which identifies the
Chandra mass of 1.5 solar masses as fps2=9x1060 frequency states modulating the nuclear density for a
temperature of 1.9847x1010 K* for a Hawking-Gamow micro black hole of mass 4.6011x1013 kg*
T3 = {hc3/4kBGo}2 nuclear /{5.013x1066} = nuclear {h2c2Gomc/3kB3} [K3]* = nuclear {1.66348029x10-19} [K3]*
Nuclear densities for neutron stars, magnetars and quark-plasma stars so become restricted in the
subatomic parameters on the fermi scale of at about half of the classical electron radius scale a Protonic
Diameter, the Protonic Radius must then indicate the limit for the scale where proton degeneracy would
have to enter the scenario.
As the proton cannot degenerate in that way, the neutron star must enter its Quark-Star Gluon-Plasma
phase transition at the ½Re/Y scale, corresponding to a mass of 2Y.MChandra=9.7082x1030 kg* or 4.854 solar
masses. This marker is between the F-googol and the G-googol space quanta counter nexus coordinates.
This vortex manifested as a VPE concentration after the expanding universe had cooled to allow the
universe to become transparent from its hitherto defining state of opaqueness and a time known as the
decoupling of matter (in the form of the Mo seedling partitioned in mc's) from the radiation pressure of the
CMBR bosons.
Generally, when the gravitational inward pressure is larger than the thermal outward pressure for a star,
then electron degeneracy can result in the atomic constituents of the star to break the electromagnetic force
keeping the atoms electrons apart from the atomic nucleus. In the evolution of stars, the nuclear fusion
processes in the core of the star determine how the mass of the star will respond to the release of material
of the star in the form of electromagnetic radiation and mass ejections. Once the nuclear fusion processes
can no longer convert atomic elements in endothermic reactions at the iron limit, the exothermic reactions
will reduce the star’s mass to that of its core.
Depending on the mass of this core, particular limits determine the fate of the star’s core of either becoming
a white dwarf in the Chandrasekhar limit of about 1.4 solar masses and increasing to 2-3 (Supernova
SN2003fg~2.0) solar masses or the Tolman-Oppenheimer-Volkoff (TOV) limit of about 2.3 (Neutron Star
GW170817) solar masses for a general range between 1.5 – 3 solar masses for neutron degenerate matter.
190
A neutron stars mass increases with the rate of rotation by about 20% from a non-rotating state.
As the classical electron radius oscillates between the wormhole Weyl-radius of the QBBS as
rps=ps/2 =1.59155x10-23 m* and Re=kee2/mec2 = h/2mec =2.777...x10-15 m*;
the Compton constant Reme=h/2c=Lplanckmplanck=√{(hGo/2c3)(hc/2Go)}
=√{h2/42c2}=h/2c=Ccompton=Reeff.meeff=2.580702x10-45 [mkg]* will determine this electronic oscillation
between the gluon-neutrino kernel and the inner mesonic ring and the outer leptonic ring for the subatomic
structure of a nucleon or hadron.
In particular the effective charge radius of the proton of quark content u.d.u=KKIRK differing from the quark
content of the neutron d.u.d=KIRKKIR by 1.328 MeV*reduces the classical electron radius by the factor ½X to
set.
Rproton=½XRe= 0.85838x10-15 m* for an effective electron mass of meeff=Ccompton/Reeff=3.00648x10-30 kg* at that
displacement in the classical electron oscillation. [Footnote 2]
At the scale of a protonic diameter meeff=Ccompton/XRe=1.50324x10-30 kg*, showing that an increase of the
electron’s size will decrease its effective self-interacting electromagnetic mass, irrespective of the relativistic
velocity of the electron.
https://www.academia.edu/39184674/The_Monopolar_Quantum_Relativistic_Electron_An_Extension_of_t
he_Standard_Model_and_Quantum_Field_Theory_Part_1_
https://www.academia.edu/40223805/A_Revision_of_the_Friedmann_Cosmology
The cosmology for the lower dimensional universe is described as the spacetime evolution of a Planck Black
Body Radiator and so follows a thermodynamic process of a decreasing universal background temperature
with increasing volume, due to the expansion of the universe.
The modular string-membrane dualities then couple the inversion displacement parameters of the QBBS and
the micro-quantum scale of the instanton as a Weyl-Eps-wormhole in the supermembrane EpsEss evolution
to the macro-quantum scale of the inflaton under utility of the ABCDEFGH googolplex spacetime quanta
counters.
As the E-googol defines the quantum geometric template for the classical electron radius, rendered variable
in the maximum of Re=2.777x10-15 m* and the minimum in the wormhole radius rps=ps/2=1.592x10-23 m*,
the magnitude ratio RE/Re=∛E)(λweyl/2π)/{1010ps/360}=∛E)(λweyl/2π)/{2rps1010/360}={∛E)/1010}{360/2}
={2.158884299…x1027}{180/}=3.43597108x1014 m*/2.7777777x10-15 m*
= 1.236949588…x1029 spacetime quanta.
The wave nature of matter is given by the de Broglie wavelength for matter in
dB=2rdB=h/p=h/melectronvelectron for an elementary particle like the electron.
This is expressed for the particle nature of matter in the Compton wavelength compton=2rcompton=h/melectronc
and maximizing the velocity of the electron to lightspeed c.
As the classical electron radius is Re=kee2/melectronc2=h/2melectronc=rcompton , showing that increasing the
size of the electron by a factor of 137 will define the light-matter interaction probability in the
electromagnetic finestructure constant alpha for Compton radius rcompton=Re/=3.80686301x10-13 m*.
191
It defines the Compton constant Ccompton=Reme=h/2c=Recmec for the inverse proportionality between the
mass and the radial size of a particle or system in quantum mechanics and where the subscript ec indicates
the scale of the particle oscillation in between the boundary conditions for the electron as the maximum Re
and the minimum rps.
Further quantum mechanical extension of the size of the atomic nucleus then defines the 1 st Bohr radius and
the size of the hydrogen atom in multiplying the Compton radius by alpha as r Bohr1=Re/2=5.2171943x10-11
m*
The quantum mechanical nature of the atom, so becomes encompassed in the interaction of the classical
electron with the electromagnetic finestructure and in allowing the spacial extent of the electron to oscillate
within its classical definition of its electromagnetic self-interaction.
The temperature evolution of the universal cosmology so conformally relates this scale of the electron as a
classical particle of spacetime, but as derivative of the Dirac monopole as its point particular representative
to the macro-quantum form in the GFEH-googolplex.
[Footnote 2]:
KKK-Kernel mass=Up/Down-HiggsLevel=3x319.66 MeV*= 958.99 MeV*, using the Kernel-Ring and FamilyCoupling Constants.
Subtracting the Ring-VPE (3L) gives the basic nucleonic K-State as 939.776 MeV*. This excludes the electronic
perturbation of the IR-OR oscillation.
For the Proton, one adds one (K-IR-Transition energy) and subtracts the electron-mass for the d-quark level
and for the Neutron one doubles this to reflect the up-down-quark differential.
An electron perturbation subtracts one 2-2/3=4/3 electron energy as the difference between 2 leptonic rings
from the proton's 2 up-quarks and 2-1/3=5/3 electron energy from the neutron' singular up-quark to relate
the trisected nucleonic quark geometric template.
Proton mp=u.d.u=K.KIR.K=(939.776+1.5013-0.5205-0.1735) MeV* = 940.5833 MeV* (938.270 MeV).
Neutron mn=d.u.d=KIR.K.KIR=(939.776+3.0026-1.0410+0.1735) MeV* = 941.9111 MeV* (939.594 MeV).
This is the ground state from the Higgs-Restmass-Induction-Mechanism and reflects the quarkian geometry
as being responsible for the inertial mass differential between the two elementary nucleons.
All ground state elementary particle masses are computed from the Higgs-Scale and then become subject to
various finestructures.
[End of Footnote 2]
The nuclear densities for neutron stars are defined in the ylemic vortices of the Gamow-Hawking protostars
or Gamow-Hawking micro black holes in the function their temperatures. The temperature of the
background universe so defines the temperature an electron- or neutron degenerate neutron star will have
in its evolutionary development at a later stage of the cosmic temperature evolution.
192
The birth of population III stars as the earliest stars has been calculated to begin as the cores of galaxies as
the cores of superclusters at a time marker defined in the superstring modulation of the wavelength of the
instanton.
1/rss=2ss=6.283x1022 m* and so the size of a large galaxy manifesting so 6.64 million years after the QBBS.
The Milky Way galaxy as one of the oldest galaxies in the cosmogenesis formed in the Sarkar regime of
general galactic evolution and when the baryon mass seedling could manifest in thew form of galaxies in the
requirement for the Strominger extremal black hole evolution to have reached the Sarkar radius of 236.52
million light years.
This galactic displacement scale matches the time period for a revolution of the local star system to
complete a cycle of rotation about the center of the Milky Way galaxy.
n-cycle
coordinate and
time
Radius as size of the universe
Modulati
on factor
Inversion
Radius
Cosmologi
cal
Redshift
Temperatu
re
2nqo=0.028030
12
473.039 My
Rsarkar=2GoMo/c2=4.47830347
x1024
1.62x1020
3.62044x
10-5
5.0152
30.570 K*
nqo=0.0140150
6
236.520 My
Rsarkar=GoMo/c2=2.23915174x
1024
4.05x1019
1.81022x
10-5
7.4777
51.062 K*
½nqo=0.00700
753
118.260 My
Rsarkar=½GoMo/c2=1.11957587
x1024
1.01x1019
9.0511x1
0-6
10.967
85.578 K*
rss=2ss=6.283x1022
3.19x1016
5.07943x
10-7
49.421
358.05 K*
3.93425x10-4
6.63948 My
Hawking
Radius
Ylem
Radius
Hawking
micro-BH
mass
7.3757x1
0-5 m*
0.29071
m*
2.9871x1
022 kg*
4.4157x1
0-5 m*
0.37572
m*
1.7884x1
022 kg*
2.6347x1
0-5 m*
0.48641
m*
1.0671x1
022 kg*
6.2973x1
0-6 m*
0.99494
m*
2.5504x1
021 kg*
Cosmological Significance
dark matter galaxies from
supercluster seed
manifest honey-comb
universal geometry
baryon seed
mobaryon=0.02803=Mo/MH=2
o/AdB
Quasar wall - 1st protostars
from supercluster seeds
Deceleration parameter
qo=½Mo/MH=o/AdB
White Hole-Black Hole
Sarkar modulation
Birth of 1st galaxies like the
Milky Way form as
baryon seed for dark matter
galaxies protostars
manifest from ylem white
hole-black hole coupling
Modular wormhole
perimeter
White Hole upper limit as
wormhole sourcesink
Eps begins to activate as
black hole power sourcesink
Ess dark matter galaxies
geometry
The time period from 16 seconds to 21 minutes in the evolution of the universe encompasses a time for the
Hawking micro black holes increasing in mass from 1.7x10 11 kg* to 1.0x1014 kg* corresponding to their
temperatures decreasing from 5.10x1012 K* to 8.82x109 K*.
Setting the nuclear density as nuclearOR=3mc/4Re3=3kBTHawking/4GomcRylem2
= 1.10545x1016 [kg/m3]* then calculates the density of a neutron star exhibiting electron degeneracy at the
temperature regimes given by the ylem radius.
193
As in this formulation the gravitational parameter is partitioned in:
Gomc2=constant=G(n)XnM(n)Yn=G(n)XnmcYumcYv= for superscripts u+v=n for (XY)n=1, the mass evolution for
the primordial nucleon mc=mplanck9=9.92472459x10-28 kg* must be considered. For the present time, the mc
primordial nucleon has attained the scale of the measured neutron mass in m cYnpresent= 1.711753x10-27 kg*or
1.7053526x10-27 kgSI.
As the leptonic ring masses are integrated into the quarkian kernel masses, the measured masses for the
electron, muon and tauon remain constant subject to their energy variation in the Compton constant
meRe=h/2c.
Then, the nuclear densities calculated in the initial period of the cosmology will increase at later times as the
effect of the mass evolution of the universe, transmuting Vortex-Potential Energy (VPE) as the UniPhysCon
‘physicalized consciousness energy’ of the original source energy for the creation event.
The leptonic outer ring (OR) for the electron degeneracy then defines the nuclear densities for electron
degenerate neutron stars being born as the from the spacetime vortices defined by Hawking-Gamow micro
black holes.
The mesonic inner ring inner (IR) reduces the scale of the classical electron radius by a factor of 1000 and
defines the Higgs boson at that scale as the progeny of the RMP separated from the electron base scale in a
factor of 100,000 as the dark matter particle of the cosmogenesis.
The mesonic inner ring defines the neutron degeneracy for quark or proton stars coupled to the primordial
neutron decay given in the inversion scale for the radial size of the universe as defined in the googolplex EFGF’ in modular membrane mirror duality with the classical electron scale.
As the strange wave quark is a resonance of the down wave quark in the oscillation potential between the
kernel up wave quark K and the outer ring OR for the Compton constant and the energy scale for the
classical electron; the neutron degeneracy is given in the entire range from the gluon-neutrino kernel of the
QBBS-Dirac monopole singularity to the inner bound of the dark matter particle RMP at the 10 -5 fermi scale.
For electron degeneracy characteristic neutron star radii are in the range of the Compton radius Re/ to its
modulation in Re/2 to the modulated electron radius 2Re as Hawking radii for micro black holes for
temperatures from 5.92x109 K* to 3.72x1010 K* to 1.29x1011 K*.
Typical neutron star radii as ylem radii range from 4,045.5 m* to 10,143.3 m* to 18,899.0 m* for respective
neutron star masses from 1.64x1030 kg as 0.819 Msun to 4.11x1030 kg* as 2.05 Msun to 7.65x1030 kg* as 3.83
Msun respectively.
The Chandrasekhar limit for white dwarves is approximated by the mass quantization M=mss=hfss/c2 and
modulation M/mss=h/mssc2=hfps/h=fps|mod=3x1030 as 1.50 MSun for a temperature of 1.98x1010 K* for a
Hawking black hole micro-mass of 4.60x1013 kg* and a Gamow-Hawking ylem radius of 7,407.7 m*
The charge radius of the proton is calculated as proportional to the classical electron radius as
½XRe=0.8583806x10-15 m* reduced from ½Re=1.388889x10-15 m* and reduced from XRe=1.7167606x10-15 m*
as Hawking radii for the micro black holes for respective electron masses of 3.0064778x10 -30 kg* and
1.858105x10-30 kg* and 1.50324x10-30 kg*.
194
The nuclear densities for neutron degeneracy with increasing pressure from the surface density to the core
density then calculate for respective Hawking radii for the micro black holes as:
nuclearOR=3mc/4Re3=3kBTHawking/4GomcRylem2=1.105x1016 [kg/m3]* for a
temperature 8.117x1011 K* and ylem mass 1.92x1031 kg* as 9.60 Msun
nuclearX=3mcY3/4Re3=3Y3kBTHawking/4GomcRylem2=4.683x1016 [kg/m3]* for a
temperature 1.313x1012 K* and ylem mass 2.44x1031 kg* as 12.20 Msun
nuclear½=24mc/4Re3=24kBTHawking/4GomcRylem2=8.844x1016 [kg/m3]* for a
temperature 1.623x1012 K* and ylem mass 2.71x1031 kg* as 13.57 Msun
nuclear½X=24mcY3/4Re3=24Y3kBTHawking/4GomcRylem2=3.746x1017 [kg/m3]* for a
temperature 2.627x1012 K* and ylem mass 3.45x1031 kg* as 17.26 Msun
n-cycle
coordina
te and
time
Radius as size of the
universe
Modula
tion
factor
Inversion Radius
Cosmolo
gical
Redshift
Temperature
2.45458x
10-13
1.5130
days
3.92162x1013
0.0124
3.17040x10-16
2.0184x1
06
5.9229x109
K*
1.44329x
10-13
76,863.6
s*
21.35
hours
4.89513x
10-14
26,069.4
s*
7.24
hours
2.30591x1013
4.299x1
0-3
1.86419x10-16
2.6322x1
06
8.8207x109
K*
7.82083x1012
4.945x1
0-4
6.32267x10-17
4.5198x1
06
1.9847x1010
K*
2.11706x
10-14
11,274.5
8 s*
3.132
hours
3.38237x1012
9249x1
0-5
2.73445x10-17
6.8728x1
06
3.7215x1010
K*
195
Hawking/
Ylem
Radius
Hawking
micro-BH
mass
3.80686x
10-13 m*
4,045.503
m*
1.5418x1
014 kg*
2.5562x1
0-13 m*
4,938.271
m*
1.0353x1
014 kg*
1.1361x1
0-13 m*
7,407.407
m*
4.6011x1
013 kg*
6.05875x
10-14 m*
10,143.34
m*
2.4538x1
013 kg*
Cosmological Significance
RHawking=Re/=Compton
radius
Electron degeneracy
surface for neutron stars
Rylem=Rcurv for
Mylem=1.64x1030
kg*/0.819Msun
Rylem=Rcurv for
Mylem=2.00x1030
kg*/1..000Msun
Nuclear density
nuc=3mcYn/4{Re}3
(1.105-1.907)x1016
[kg/m3]*
Rylem=√{3kBT/4Gomcnuc}
for 1.5 MSun
M=mss=hfss/c2 mass
quantization for space
quanta count
M/mss=h/mssc2=hfps/h=fps
|mod=3x1030 as 1.50 MSun
RHawking=Re/2 = Compton
radius Ess modulation
Electron degeneracy core
for neutron stars
Rylem=Rcurv for
Mylem=4.11x1030
kg*/2.054Msun
6.43488x1011
3.348x1
0-6
5.20221x10-18
1.5757x1
07
1.2919x1011
K*
RF=∛F(λweyl/2π)=3.45107
750x1011
9.6x10-7
Rf=2.789990x10-18
2.15163x
107
2.0614x1011
K*
2.122808
x10-15
1130.52
s*
18.8420
min
RG=∛G(λweyl/2π)=3.3915
5801x1011
9.3x10-7
Rg=2.741872x10-18
2.17042x
107
2.084198
x10-15
1109.96
s*
18.499
min
RF’=∛F’)(λweyl/2π)=3.3298
7275x1011
9.0x10-7
Rf’=2.69200x10-18
8.75370x
10-16
466.186
s*
7.770
min
4.315415
x10-16
229.821
s*
3.8304
min
1.39856x1011
1.6x10-7
Rneutrondecay=6.8946323x1
010
3.473914
x10-16
185.006
s*
3.083
min
1.828887
x10-16
97.398
s*
1.623
min
4.02765x
10-15
2144.96
s*
32.749
min
2.160062
x10-15
1150.36
s*
19.173
min
1.7453x1
0-14 m*
18,899.00
m*
7.0686x1
012 kg*
1.0938x1
0-14 m*
23,872.87
m*
4.4299x1
012 kg*
RHawking=2Re Rylem=Rcurv for
Mylem=7.65x1030
kg*/3.827Msun
2.0885x1011
K*
1.0796x1
0-14 m*
24,029.28
m*
4.3724x1
012 kg*
Rylem=Rcurv for
Mylem=9.73x1030
kg*/4.866Msun
2.19044x
107
2.1175x1011
K*
1.0648x1
0-14 m*
24,195.54
m*
4.3125x1
012 kg*
1.13065x10-18
3.89284x
107
4.05858x1011
K*
3.8x10-8
2RMP=42RRMP=5.573
89763x10-19
4.81381x
107
6.89874x1011
K*
MHawking=2.79
2x1037
THawking=3.270
3x10-14
5.55556x
10-15 m*
33,497.33
m*
2.2500x1
012 kg*
3.2684x1
0-15 m*
43,672.54
m*
1.3237x1
012 kg*
5.550187x1010
2.5x10-8
4.486994x10-19
5.36526x
107
8.11715x1011
K*
2.7778x1
0-15 m*
47,372.40
m*
1.1250x1
012 kg*
2.921968x1010
6.9x10-9
2.362236x10-19
7.39446x
107
1.3134x1012
K*
1.7168x1
0-15 m*
60,257.94
m*
6.9529x1
011 kg*
196
Rylem=Rcurv for
Mylem=9.67x1030
kg*/4.834Msun
Primordial neutron decay:
F’-2RMP
(1109.96-229.82) s* =
880.14 s*/879.28 s
from Higgs Boson with
RMP template
Rylem=Rcurv for
Mylem=9.80x1030
kg*/4.900Msun
RHawking=2Re
Rylem=Rcurv for
Mylem=1.3566x1031
kg*/6.78Msun
Beginning of neutron
decay
from Higgs Boson with
RMP template
Rylem=Rcurv for
Mylem=1.77x1031
kg*/8.844Msun
RHawking=Re
Nuclear density
nuc=3mcYn/4{Re}3
(1.105-1.907)x1016
[kg/m3]*
Rylem=Rcurv for
Mylem=1.92x1031
kg*/9.593Msun
RHawking=XRe=Protonic
diameter
Nuclear density
nuc=3mcYn/4{XRe}3
(4.683-8.077)x1016
[kg/m3]* Rylem=Rcurv for
Mylem=2.44x1031
kg*/12.202Msun
1.378658
x10-16
73.422
s*
1.224
min
2.202648x1010
3.9x10-9
1.780709x10-19
8.51671x
107
1.6234x1012
K*
1.3889x1
0-15 m*
66,994.07
m*
5.6250x1
011 kg*
RHawking=½Re
Nuclear density
nuc=3mcYn/4{½Re}3
(8.844-15.253)x1016
[kg/m3]*
Rylem=Rcurv for
Mylem=2.71x1031
kg*/13.566Msun
7.257512
x10-17
38.650
s*
1.159515x1010
1.1x10-9
9.37398x10-20
1.17383x
108
2.6268x1012
K*
8.5838x1
0-16 m*
85,218.27
m*
3.4764x1
011 kg*
2.9962x1
0-17
15.957
s*
4.78696x109
1.9x10-
3.86997x10-20
1.82690x
108
5.1002x1012
K*
4.42097x
10-16 m*
118,744.5
6 m*
1.7905x1
011 kg*
RHawking=½XRe
Nuclear density
nuc=3mcYn/4{½XRe}3
(3.746-6.461)x1017
[kg/m3]*
Rylem=Rcurv for
Mylem=3.45x1031
kg*/17.257Msun
RHawking=Re/2 Ess
modulation
Neutron degeneracy
Rylem=Rcurv for
Mylem=4.81x1031
kg*/24.05Msun
10
197
198
X: Primordial Neutron Decay from Higgs Boson – RMP/DM Quantum Geometry
The Higgs boson with a scalar Higgs scalar neutrino in the conformal mapping of the QBBS onto the
cosmology
As the universe reached an age between 1130-1150 seconds, a 20 second period from the 18 minute 50
second marker manifested primordial radioactive beta-minus decay in the decomposition of a lefthanded
ylemic neutron into its constituent parts of a lefthanded proton with a lefthanded electron and a
righthanded antineutrino.
As this process is a weak nuclear interaction (WNI) a coupling to the strong nuclear interaction (SNI) was
made manifest in the ylemic neutron star’s core transforming the quark content of the ylemic neutron in the
interaction with gluons and crystallizing the force carrying bosons for the WNI and the SNI as weakon bosons
(W- for matter and W+ for antimatter and Z o for uncharged matter) and gluons, respectively.
Neutron decay depends on the relative movement of the neutron with respect to their environment. The
measured discrepancy in the mean lifetime of free neutrons of about 9 seconds using either a ‘proton trap
bottle’ or a ‘proton beam’ counter of 879 and 888 seconds respectively, so engages the definition of the
RMP as being coupled to the Higgs Boson in the matter template YCM.
Higgs Boson 72.93Ynp=125.78 GeV*/125.48 GeV with RMP dark matter excess=126.95/125.78=1.0093 for
Mean time ½(G-F’)=10.28 s*
Higgs Boson 71.020Ynp=122.49 GeV*/122.19 GeV with RMP -dark matter deficit=122.49/123.57=0.9913 for
Mean time ½(F-G)=9.92 s*
½{F-G}={1150.36-1130.52}=9.92 seconds for the dark matter/RMP deficit in the stated 20 second period for
the primordial neutron decay as {1109.96-229.82}=880.14 seconds ½{G-F’}={1130.52-1109.96}=10.28
seconds for the dark matter/RMP excess in the stated 20 second period for the primordial neutron decay as
{1109.96-229.82}=880.14 seconds
The decoupling of the RMP from the Higgs Boson introduced the colourless Graviphoton as the spin
conserver in the UfoQR to preserve the spin neutrality of the Higgs Boson in the lefthanded RMP with the
righthanded Graviphoton.
The RMP is the dark matter particle in the Higgs field and is defined in the units of the gravitational
parameter as a space quanta volumar acted upon by the time differential of frequency df/dt as a form of
quantum spin angular acceleration.
The primordial neutron decay in the first 20 minutes of the QBBS universe became triggered in the initial
boundary conditions defined in the space quanta counters E, F and G, with the manifestation of the Dirac
monopole singularity as the wavelength *=c/f*=4.087933536x1014 m* for radius
R*=*/2 =R(n*=Hot*’=4.072259032x10-13) =6.506148293x1013 m* for a time t*’=216,871.61 s* or 2.51
mean solar days into the expansion and thermodynamic evolution of the universe.
The Riemann hyperspheres of the instanton-inflaton evolutionary light path correspond to the quantum
geometry inherent in the QBBS.
199
RE=∛E)(λweyl/2π)=3.43597108x1014 m* for a time
tE=nE/Ho=2.1506x10-12/Ho=1,145,323.7 s* or 318.145 hours
and a temperature TE=1.163x109 K*from T(n)=∜{{Ho3Mo/1100π2σSB}.{(n+1)2/n3}} corresponds to
Re=2.7777x10-15 m* in the ratio Re/RE=8.0844x10-30
RF=∛F)(λweyl/2π)=3.45107750x1011 m* for a time tF=nF/Ho=2.1601x10-15/Ho=1150.36 s* or 19.17 minutes
and a temperature TE=2.0614x1011 K* corresponds to RHBlower=Re{RF/RE}=2.789990x10-18 m* in the upper
bound for the Higgs Boson HB
for a Compton mass mHBlower=h/(2cRHBlower)=1.26766x10-25 kg* or 71.020 GeV*
increasing to 71.020(Ynp)= 122.491 GeV* for n p=1.132712
RG=∛G)(λweyl/2π)=3.39155801x1011 m* for a time
tG=nG/Ho=2.1228x10-15/Ho=1130.52 s* or 18.84 minutes and a temperature TE=2.0885x1011 K* corresponds to
RHBmean=Re{RG/RE}=2.741872x10-18 m* in the mean mirror value for the Higgs Boson
for a Compton mass mHBmean=h/(2cRHBmean)=1.28991x10-25 kg* or 72.266 GeV*
increasing to 72.266(Ynp)= 124.640 GeV* for n p=1.132712
For F’=(2G-F)=9.158461354x10102 space quanta = RF’=∛F’)(λweyl/2π)=3.32987275x1011 m* for a time
tF’=nF’/Ho=2.0842x10-15/Ho=1109.96 s* or 18.50 minutes
and a temperature TE=2.1173x1011 K* corresponds to RHBlower=Re{RF’/RE}=2.6920000x10-18 m* in the lower
bound for the Higgs Boson
for a Compton mass mHBupper=h/(2cRHBupper)=1.31381x10-25 Kg* or 73.605 GeV*
increasing to GeV* for n p=1.132712
increasing to 73.605(Ynp)= 126.950 GeV* for n p=1.132712
200
201
202
XI: Initial Boundary Conditions for Matter-Antimatter Asymmetry
Timespace of imaginary space, created the initial boundary condition for the QBBS to manifest in the
instanton-inflaton quantum entangled coupling in a higher dimensional parameter space of the mathimatia.
Five string classes transformed into each other under properties of modular dualities in the string epoch
beginning with the ‘bounce’ of the Planck length at a then defined timespace coordinate of √Lplanck/c=√
tplanck=√{(hGo/2c5)(2kee2/hc)} =√{Gokee2/c6)}=e/c3=5.9498383x10-45 s* for the finestructure unification
condition {Goke=1} between the electromagnetic and gravitational interactions; and ending at the instanton
of tweyl=3.333x10-31 s*.
The heterotic classes allow the 5 bosonic strings to emerge from a 26-dimensional boson string space, where
10 clockwise string rotations are emergent in a 10-dimensional string spacetime and where 16 anti-clockwise
rotation are suppressed.
The Planck boson in timespace then is known as the Planck string of class I of open strings at a time
tplanck=2πrplanck/c=4.376x10-43 s*; the second a closed monopole string of self-dual class IIB at a time
tmonopole=2πrmonopole/c=1.537x10-40; the third the closed XL-Boson heterotic class HO(32) at time tXL=2πrXL/c
=2.202x10-39 s*; the fourth the closed Ecosmic Ray-Boson string of class IIA at time
tEcosmic=2πrEcosmic=6.618x10-34 s* and the fifth the closed heterotic class HE(64) of the instanton.
A ‘false Higgs Boson’ vacuum at a time interval from tdBmin=GoMo/c3nps=4.672x10-33 s* to
tdBmax=√αtweyl=2.847x10-32 s* preceded the instanton in the timespace to image the start of the timespace
string epoch in the ‘bounce’ or quantum fluctuation of the Planck time in the ‘quantum oscillation’ of the
Weyl time.
Following the creation of spacetime in the instanton, the Weyl parameters of the spacetime could integrate
and manifest the primary source energy definitions of the mathimatia parameter space and using the string
modular properties for that purpose.
One of those properties relates to the modular inversion of displacement in string T-duality, strongly
associated with Mirror duality to connect the shadow-mirror universe Abba-Khaibit to the physicalized
universe Friedmann-Baab.
The quantum entanglement between the two universes under modular string-membrane duality assumes
the form of a supermembrane manifesting as a surface information agent in the two-sidedness of the
Witten-Maria mirror of the 11-dimensional boundary between Khaibit-Universe-Energy-Primary-Source-Sink
or Eps and Riemann-Universe-Energy-Secondary-Sink-Source or Ess.
203
The supermembrane EpsEss is the coupled under modular string-membrane duality in:
1. EpsxEss=hfpsxhfss=h2 with quantum energies Eps=hfps=hc/ps= hc/2rps=mpsc2=kBTps=1/e* and
Ess=hfss=h/css= 2h/crss=mssc2=kBTss=h2e*
2. Eps/Ess=hfps/hfss=fps2=1/fss2 with the inversion displacement coupling fpsps=c=1/{fssss}
of modular T-Mirror duality
3. and descriptive for 9x1060 frequency permutation states for the universal physicalized consciousness
quantum, the Uniphyscon defining Dirac’s monopole.
4. The wormhole radius rps=ps/2 and wavelength ps=2rps=10-22 m* for a high quantum energy Eps
and a small winding string mode
5. The anti-wormhole radius rss=1/rps=2ss=2x1022 m* and wavelength ss=2rss for a low quantum
energy Ess and a great winding string mode
Quantum mechanics of a string physics of the very small so is characterized by a small wavelength and radius
r of atomic and subatomic structures, but this radius r is shown to be equivalent to a classical mechanics of
extended objects of inverted radius 1/r in terms of the winding modes interchanging under T-duality.
A low winding number relative to a small radius rps=1/R can describe a physics equivalent to that physics of
the same radius r with a large winding number, as the unwinding of the multiplicity of the perimeter of the
circle radius r, would increase the radius rps=1/R to a multiple of 1/R and so increase the radius to
2n.rps=R=rss of classical objects.
For the supermembrane EpsEss, the winding number becomes the coupling constant E ps/Ess=fps/fss=9x1060 as
the maximum permutation frequency state as the self-state or resonance eigenvalue of the unification
physics connecting the microcosmos of quantum relativity to the classical universe of general relativity with
special relativity.
The Möbian connectivity of the 11-dimensional Witten-Maria mirror manifests in the timespace of the
superstring epoch in the form of the quantum relative blueprints and the doubling of a Möbian surface in
changing the one-sidedness to a two-sidedness in a double rotation or twist extending a 360-degree rotation
to a 720-degree rotation to return to an initial state, known as a spinor.
A two-sided ring of width w and radius r so has two surface areas 2rw as an inner and an outer. Cutting the
ring and twisting one end by 180 degrees, before gluing it back to the other end of the ring will connect the
previously separated surfaces to one surface of total length 4r and surface area 4rw.
A spinor pointing perpendicular to the width would then change direction after one full rotation because of
the twist and require and more rotation to return to the initial starting position. Righthandedness becomes
left-handedness after a 360-degree rotation and becomes righthanded again after another 360-degree
rotation.
This property of a geometric topological transformation from an orientable geometric object like a ring into
a non-orientable object like a Möbius strip became the basis for the quantum geometry of fundamental
particles blueprinted in the supersymmetry of the timespace.
204
Five-gauge Goldstone bosons as the ‘force carrying’ field particles broke the supersymmetry of the
unification of five interaction fields:
#
Gauge Boson
1
Eps-Photon
2
Ess-Antiphoton
3
Graviton
4
Gluon
5
Restmass-Photon
6
Higgs-Boson
7
Dirac Monopole
Mirror
Anti-Higgs Boson
8
Anti-Restmass-Photon
9
Anti-Gluon
10 Anti-Graviton
11 Ess-Photon
12 Eps-Antiphoton
Colour
Charge
Cyclic
RGB
Anticyclic
BGR
Anticyclic
BGR
Cyclic
RGB
Cyclic
Y2C2M2
Cyclic
Y2C2M2
Spin
Field
+1
EMI
+1
WNI
-2
GI
+1
SNI
-1
EMMI
0
EMMI
Anticyclic
M2C2Y2
Anticyclic
M2C2Y2
Anticyclic
BGR
Cyclic
RGB
Cyclic
RGB
Anticyclic
BGR
0
Imaginary
EMMI
Imaginary
EMMI
Imaginary
SNI
Imaginary
GI
Imaginary
WNI
Imaginary
EMI
+1
-1
+2
-1
-1
The cyclic right-handed Eps-Photon of Monopolar Radiation EMMR for the long-range Electromagnetic
Interaction (EMI) is known as the ‘virtual’ photon of U(1)-SU(2)-SU(3) Unitary gauge symmetry of the
Standard Model of particle physics combining Quantum Field Theory (QFT) in Quantum Electrodynamics
(QED) with Quantum Chromodynamics (QCD).
Its anti-particle would so be an anticyclic left-handed Ess-Photon in the supersymmetry of the Unified Field
of Quantum Relativity (UFoQR).
The Quantum Relativity derives from the geometric topology creating and defining the elementary particle
and gauge bosons in their quantum geometry in the timespace and preceding the string-membrane epoch in
the mathimatia.
The cyclic RGB on one side of the Möbian strip would interact with its own image of the one-sidedness,
however separated by the point-circle of the one-dimensional thickness of the Möbian geometry in the
spacelessness or imaginary space of timespace.
205
206
The self-intersection of the Eps-Photon with its antistate of the Ess-Antiphoton through a membrane mirror
of no thickness would mix the Red-Green-Blue cyclic colour triplet on one side of the mirror as a cyclic Eps
rotation RGB=GBR=BRG in three successive 120-degree angular displacements.
Relative to Ess, this movement would be identical in the quantum self-relativity of rotating from RGB to GBR
to BGR, but relative to the other side of the mirror the movement would be anticyclic.
The colour charge triplet RGB is defined in the parameters of EMR as Planck’s Law E=hf and ‘light’ and in
parameters of mass as Einstein’s Law E=mc2 or ‘dark’. Electromagnetically Red, Green, and Blue in equal
proportions result in in the colour White and colour in the matter of paint in equal proportions result in the
colour Black in thew colour charge triplet Yellow-Cyan-Magenta or YCM.
In the SU(3) gauge symmetry of QCD, the eight forms of the gluon, transmitting the force of the strong
nuclear interaction reduce to one gluon agent in 8 and 4 permutation states.
For hadrons, like nucleons like the proton and the neutron, and constructed by three quarks, the eight gluon
permutations transform a pure Black triplet into a pure White triplet in the set:
{BBB+BBW+WBB+BWB+WBW+WWB+BWW+WWW}.
For mesons and other quark-antiquark state particles the four gluon permutation states are the set:
{BB+BW+WB+WW}.
The primary colour charge triplet RGB then forms a radiation-matter interaction super template with the
secondary colour charge triplet YCM in the Black-White resonances given in the colour-anticolour couplings
Red+Cyan=W or B and Green+Magenta= W or W and Blue+Yellow=W or B via E=hf for W or E=mc 2 for B,
respectively.
The original YCM blueprint for matter was created by a half-rotation in the 60°-120° sector where the colour
charge interaction (R+G)(G+B)(B+R)=YCM=CMY=MYC, was followed by the second half-rotation in the 240°300° sector from the inflexion point of 180° manifesting in spacetime as the Möbian twist of 180° to change
the orientability of the Möbian topology to non-orientable.
The colour charges of both the self-relative sources Eps and Ess inflexed to Blue-Green-Red to give the
antimatter template (B+G)(G+R)(R+B)=CYM=YMC=MCY.
At the completion of the 360° rotation, only the primary gauge photon Eps inflected back to its starting
position of a cyclic right-handedness, the secondary gauge photon Ess broke the gauge supersymmetry in
continuing with its cyclic right-handedness so creating the necessity for the birth of the graviton as a spinor
of double integer spin to reset the gauge symmetry in the timespace.
This resulted in the suppression of the antimatter template MCY as the mirror of the mass eigenstate to the
eigenstate of the BGR anti-EMMR blueprint.
The breaking of the gauge symmetry at the inflexion points of 0°-180°-360° differentiated the even −nodes
at 0 and 2 radians from the odd -nodes at radians in defining the even nodes in RGB and as an antineutrino template R2G2B2 and the odd nodes in BGR and as neutrino template B2G2R2.
207
The original ‘short-range’ wave function for the EMMI of quantum spin +1 at the origin with the original
wave function for the Anti-EMMI of quantum spin -1 and inflecting at the 180°- node in the UFoQR as
UFoQR(x)=sin(x)+sin(-x), now took the ‘long-range’ form UFoQR(x)=sin(3x/2)-cos(3x/4) in Eps continuing to
inflect at odd -nodes and intersecting with the graviton wave function in lieu of the now suppressed AntiEMMI wave function, effectively retracing the path of Eps with a phase shift of 2 or 360°.
The combined wave function of the EMI and the GI then repeats its waveform in a periodicity of 8 radians
or 1440° and intersects in 12 coordinates to define the materialization of particles and anti-particles in the
combined wave path of 4ps or four times the Weyl wormhole perimeter manifesting in the QBBS spacetime
of the instanton-inflaton.
The 2nd intersection or current node in the UFoQR then defines a Y 2C2M2 template for the Higgs Boson of 0
spin and the 4th current junction defines the Anti-Higgs Boson of 0 spin as the M2C2Y2 blueprint.
As the coordinates for the 1st and 2nd, the 3rd and 4th to the 5th junction nodes are 120° and 288.5° and 360°
and 431.5° and 600° respectively to encompass the Weak Nuclear Interaction (WNI) part of the UFoQR in
coupling the matter loops to the antimatter loops; two additional Y 2C2M2 and M2C2Y2 templates are made
manifest as the blueprints for the Restmass-Photon RMP of spin=-1 at the 200° coordinate and the Anti-RMP
of spin=+1 at the 520° coordinate.
The templates for the creation of particles in the spacetime from the timespace so allows the bosonic
integral boson-spins to bifurcate into fermionic half-integer spins for any YCM or MCY created particle pairs,
such as an ylemic YCM Gamow neutron boson of spin=+1 splitting into two neutrons of spin=+½ in conjugate
or parallel action of an ylemic MCY Gamow anti-neutron boson with spin=-1 splitting into two fermionic
neutrons of spins -½-½.
But this standard scenario of the Big Bang cosmology infers the equal status between matter and antimatter
for the cosmogenesis.
The antimatter template MCY remains suppressed as a function of the anti-EMMI template, which also
internalizes the anti-RMP and the anti-Higgs bosons into the UFoQR.
So, it is the Higgs Boson which manifests the elementary particles of the cosmogenesis in splitting its Y 2C2M2
matter template into an ylemic YCM Gamow neutron pair with opposite spins +½-½=0.
This gives the reason as to why no normally occurring antimatter is observed in the universe, apart from the
process of pair-creation defined in the UfoQR between junction nodes 8-9-10 at coordinates of -528.5°360°-191.5°.
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209
The graviton must have spin 2 because of quantum angular momentum conservation.
Before spacetime creation in the instanton of the quantum Big Bang, the transformation of the five string
classes manifested in the inflaton using a prior supersymmetry between matter- and antimatter templates,
represented in say sinx+sin(-x)=0 and where the positive region becomes a quantum geometric matter
conformal mapping, and the negative region becomes its conjugative for antimatter.
As the linearization of the circle inflects at 180 degrees, matter and antimatter become defined in adjacent
clockwise and anticlockwise semi cyclicities.
If now the arbitrary boundaries are defined in some unitary interval between 0 and 360 degrees or
[-∞,0,+∞] or [-1,0,+1] or [0,½,1] or [-(X+1),-½,X]; then the left boundary dynamics of say righthandedness
cancels the right boundary dynamic of left-handedness throughout the 2 semi cycles, say described in a
Möbian connectivity and topology of surface non-orientability in a conformal mapping of a 2D surface onto a
11D supermembrane in a membrane-mirror space.
After the completion of a full cycle, the matter- and antimatter templates exist in the membrane space of
the inflaton, say as a supersymmetry between the righthanded electromagnetic monopolar radiation
(EMMR) and its antistate in a lefthanded electromagnetic monopolar antiradiation.
This supersymmetry between radiative self-states precedes any possible supersymmetry between the
matter and antimatter blueprints, as the dynamic of the EMMR eigenstate defines the former as a secondary
manifestation of potential manifestation, once the instanton of spacetime creation supersedes that of the
prior string-brane epoch.
To realize the matter-antimatter potential, the completion of the full EMMR cycle breaks its own
supersymmetry in the exchange of the right- and left boundary and initial conditions.
The original righthanded (Weyl-gauge photon say of the left mirror) now situated at the right mirror
extends the unitary interval towards the positive abscissa (aleph null enumerability) and inflects its
anticlockwise parity into its original clockwise parity or chirality.
The original Weyl-antiphoton from the right mirror, now situated at the left mirror retraces the path of the
Weyl-gauge photon however and so does not inflect and so creates the necessity to negate two clockwise
quantum spins by a doubled anticlockwise spin angular momentum.
This demands the birth of quantum gravity and of its gauge agent of the graviton in the formation of a new
universal wavefunction traversing in the opposite direction of the now twinned electromagnetic monopolar
propagation of the original emmr supersymmetry.
A consequence of this 'changing of the fundamental supersymmetry' becomes the restriction of any matterantimatter symmetry to become confined to the concept of pair production in the presence of existing
matter or antimatter in Nonparity.
Defining matter to couple in a Goldstone gauge boson form to the original Weyl-photon (RGB) then forces
the Weyl-antiphoton (anticyclic BGR) to suppress the antimatter (MCY anticyclic to matter YCM) template in
lieu of a 'twinned' emergent blueprint known as the scalar 0-spin Higgs Boson (Y2C2M2).
210
Imagine a Möbian strip without thickness und so restricted to be two dimensional. The perimeter of the
quasi-inner ring so defines a self-intersection with its quasi-outer ring and depicts half of the total 2D-space
of the Möbius strip for the inflection at 180 degrees. Then the Möbian strip breaks its own non-orientable
nature and symmetry to create the 3rd dimension as a form of the Dirac string rotating in the 2-dimensional
XY-plane to manifest the orthogonal z-direction in the torque of the angular momentum vector.
The second parameter space can now become orientable (without the Möbian twist of 180 degrees) and the
self-relativity of the first part becomes now 3-dimensional relative and allows a new mixing of the tripartite
sectors of the quantum chromodynamics of the constituent Goldstone bosons. From this point in the
cosmogony onwards an older non-manifested matter antimatter supersymmetry can eventuate in the
observed pair-production, being otherwise suppressed by the earlier radiation-antiradiation supersymmetry
described.
https://youtu.be/sRTKSzAOBr4
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The Antimatter - Matter Asymmetry as effect of Quantum Geometry in Diquarks
A contemporary 'controversy' and mystery in the Standard Model compares charged B-meson decay CP
parity violation with uncharged B-mesons in the quest to solve the matter-antimatter asymmetry.
Antimatter Mystery Continues To Perplex Scientists (forbes.com)
https://www.forbes.com/sites/drdonl...tter-mystery-continues-to-perplex-scientists/
The answer is the nature of the 2nd and 3rd quark families. The c, b and t quarks are diquarks.
There was no antimatter at the Quantum Big Bang Singularity event (Timespace instanton triggering a
Spacetime inflaton). So called supersymmetry is inherent in the pre-spacetime boundary conditions defined
in the Dirac String/Monopole. https://www.bitchute.com/video/WABQpOJawitJ/ 2
The charged B-mesons have only an internal integer charged ring/antiring structure manifesting their
structure say bubar=[ud]bar.ubar=ubar.dbar.ubar or bbaru=[ud]u as antiproton or proton quantum quark
geometry of the internal down/antidown quark manifesting the weakon ring charge as the interaction
transmitter.
The single ring/antiring structure manifests a c-quark component (ucbar or ubarc). The neutral B-mesons say
bdbar=ubar.dbar.dbar or bbard=[ud]d manifest the neutral (anti)neutron/lambda quantum geometry and
therefore suppress the matter-antimatter divergence in the weakon
kernel-inner ring /down-outer ring/strange oscillations. The two ring/antiring components cancel.
Ten DIQUARK quark-mass-levels crystallize, including a VPE-level for the K-IR transition and a VPE-level for
the IR-OR transition:
The K-Means define individual materializing families of elementary particles:
a (UP/DOWN-Mean) sets the (PION-FAMILY: πo, π+, π-).
a (STRANGE-Mean) specifies the (KAON-FAMILY: Ko, K+, K-).
a (CHARM-Mean) defines the (J/PSI=J/Ψ-Charmonium-FAMILY).
a (BEAUTY-Mean) sets the (UPSILON=Y-Bottonium-FAMILY).
a (MAGIC-Mean) specifies the (EPSILON=E-FAMILY).
a (DAINTY-Mean) bases the (OMICRON-Ο-FAMILY).
a (TRUTH-Mean) sets the (KOPPA=Κ-Topomium-FAMILY) and
a (SUPER-Mean) defines the final quark state in the (HIGGS/CHI=H/Χ-FAMILY).
212
213
The importance of the uds-lambda quantum geometry
214
The K-Means define individual materializing families of elementary particles:
a (UP/DOWN-Mean) sets the (PION-FAMILY: πo, π+, π-)
a (STRANGE-Mean) specifies the (KAON-FAMILY: Ko, K+, K-).
a (CHARM-Mean) defines the (J/PSI=J/Ψ-Charmonium-FAMILY)
a (BEAUTY-Mean) sets the (UPSILON=Υ-Bottonium-FAMILY)
a (MAGIC-Mean) specifies the (EPSILON=Ε-FAMILY)
a (DAINTY-Mean) bases the (OMICRON-Ο-FAMILY)
a (TRUTH-Mean) sets the (KOPPA=Κ-Topomium-FAMILY)
a (SUPER-Mean) defines the final quark state in the (HIGGS/CHI=H/Χ-FAMILY)
{1} Matter interacts with antimatter-based Neutrinos in Majorana-Dirac Electron
Capture
An Electron in the inner atomic nucleus is captured by a proton to create a neutron accompanied by an
electron neutrino.
215
This requires a u-quark of the proton to transform into a d-quark of the neutron. As the d-quark is a KIR
quark of inner mesonic ring of electro charge [+2/3] coupled to the MIR of electro charge [-1], a W- weakon
must be engaged to couple to a left-handed proton via the Nonparity of the weak nuclear interaction.
However, in electron capture a left-handed electron neutrino is emitted, requiring the interaction of a
W+ weakon as the kernel gauge for any such right-handed antimatter weak decay.
So should the interacting electron initiate electron capture then a W - becomes the bosonic partner for the
interaction; but if it is the interacting proton, then a W+ should become the weak interaction agent to
neutralize its positive electric charge with the negative electric charge of the interacting electron.
The interaction of matter and anti-matter in the form of the weak interaction bosons and their associated
anti-neutrinos and neutrinos can however be shown to result from a basic kernel-ring interaction of the
anti-neutrinos and neutrinos as both Majorana particles and as Dirac particles.
Majorana particles are their own anti-particles allowing identification of right-handed antineutrinos as
left-handed neutrinos in the base templated or massless self-state.
Dirac particles distinguish right handed anti-neutrinos from left handed neutrinos due their mass and inertia
in their native oscillation potential.
For a left-handed proton u[-½]d[+½]u[-½] and a left-handed electron e-[-½], the W- consisting of a
right-handed electron and a right-handed anti-neutrino initiates the KIR-Oscillation from the Anti-NeutrinoGluon kernel of the up quark in coupling it to the OR part of the W -.
The colourless Graviphoton, GP or Gγ rendering the 'virtuality' of the W- as physically real in neutralizing the
bosonic weakon spin, which 'flips' the right-handed anti-neutrino into a left-handed neutrino observed.
Proton p+[-½] + Electron e-[-½]
⇒ p+[-½] + OR-[-½]* + ({Electron e-[+½] + Antiνelectron[+½]}W- + Graviphoton[-1])
⇒ d[+½]u[-½]{u[-½] + IR-[0]}*{KIR-Oscillation (OR-IR)o[-½] + W-[+1] + GP[-1]}
⇒ d[+½]u[-½]d[-½] + {(OR-IR)o[0] + Antiνelectron[+½] + GP[-1]} ⇒ no[-½] + νelectron[-½]
with the KIR-Oscillation transferring the interacting left-handed electron charge -1 without spin in the
OR-IR-K for the IR-K up-down quark transformation {+2/3-1=-1/3} and neutralizing the weakon associated
intrinsic right-handed electron spin as +½-½=0 for the remaining OR-IR transition.
The neutron is cyclically delinearized from spin self-state d[+½]u[-½]d[-½] into the triplet configuration
YCM=CMY=MYC as d[-½]u[+½]d[-½].
A Magneto axis symmetric Proton K(KIR)K transforms into Magneto axis symmetric Neutron KIR(K)KIR as one
of the proton's end Kernel up-quarks 'captures' the Weakonic VPE scalar OR- Electron Outer Ring in the
Unified Field of Quantum Relativity.
It is in fact a W-, that interacts, but coupling to the left-handed electron instead of the left-handed proton,
the latter requiring some coupling to the W+ weakon in the quantum field to materialize the electron
neutrino from the W+ template in a direct fashion and not as the Majorana-Dirac 'flip' initiated by the Wfrom before. It is the W+ intrinsic positron which is 'flipped' to 'free' the materializing neutrino from the
W+ weakon base state.
216
But as the resultant Outer Ring - Inner Ring remnant {(OR-IR)+[0]} is positively charged and not charge
neutral as was the case for the previous W- weakon interaction; the W + weakon from the proton is
suppressed in electron capture in favour of the W- weakon from the electron.
Proton p+[-½] + Electron e-[-½] ⇒
p+[-½] + IR-[-½] + ({Positron e+[-½] + νelectron[-½]}W+ + Graviphoton[+1])
⇒ d[+½]u[-½]{u[-½] + IR-[0]}*{KIR-Oscillation (OR-IR)o[-½] + e+[+½] + velectron[-½]}
⇒ d[+½]u[-½]d[-½] + {(OR-IR)+[0]} +νelectron[-½] ⇒ no[+½] + νelectron[-½] + {(OR-IR)+[0]}
The W- then supplies the required KIR for the up-quark to down-quark transmutation with the gauge spin
neutralizer of the left-handed Graviphoton [-1] flipping the right-handed electron antineutrino constituent of
the W- into its anti-particular form of a left-handed electron neutrino as a Majorana self-state transforming
into a Dirac self-state.
Electron capture so displays the Majorana nature of the two base neutrinos of the electron positron and
muon-antimuon definition in their massless gauge nature when engaged in the direct interaction or 'tapping'
of the UFoQR in the Vortex-Potential-Energy or VPE/ZPE
in R2G2B2[+½] + B2G2R2[-½] = BY2B[0]=GM2G[0]=RC2R[0] = VPE[0].
An Anti-Neutrino template R2G2B2[+½] = W2[+½] = B2G2R2[-½] + GP[+1] as Neutrino template in E=hf radiative
'White'-eigen energy and being undifferentiated between the particle and anti-particular
energy eigen state under the application of the spin symmetry of the 'flipping' 'white' Graviphoton.
The Dirac nature of the base neutrinos then can be said to apply to all (anti)neutrinos carrying mass in their
oscillation potential and properties exhibited in their wave mechanical dynamics manifested in the AntiNeutrino template R2G2B2[+½] being the anti-state for the Neutrino template B2G2R2[-½] and without or
following the Graviphoton 'flip'.
217
CP violation in the weak nuclear interaction
The difference between matter and antimatter subsequently derives from the difference between the Outer
Ring charge of the W+ for antimatter and the W- for matter and so becomes related to the nature of
constituent neutrinos and anti-neutrinos in the Kernel-Ring oscillations respectively.
The described gluon-anti-neutrino-electron oscillation from Kernel to mesonic IR to leptonic OR so becomes
an inherent supersymmetry between bosonic gluons and fermionic (anti)neutrinos manifesting in the weak
interaction and its associated parity violations in Charge-Parity (CP) symmetry.
All quark-antiquark states engaging outer ring oscillations, such as the neutral kaon pairing
d.sbar and dbar.s and bottom quark energy states such as b.sbar =(ud)bar.sbar = so will exhibit a difference
between matter and antimatter.
For matter IR with antimatter ORbar, for the neutral kaon K o oscillates from its kernel VPE K.Kbar or u.ubar a
matter IR to an antimatter ORbar for the antimatter weakon:
Ko = d.sbar = [K+IR].[Kbar+ORbar] = [K.Kbar][0] + [IR*ORbar][0]
= [K.Kbar][0] + [IR*{ORbar+νelectron][-1]}W+ + Gγ[+1] ⇒ {u.ubar+d.dbar or u.dbar+ubar.d} + [-½-½+1]
{strong weak anti-gluon-neutrino kernel-ring interaction suppressing any lepton decay products}
⇒ {πo+πo or π++π-} ⇒ Kshorto or
⇒ {ubar.d+e+[½] + νelectron[-½]} ⇒ π-[0] + e+[½] + νelectron[-½] ⇒ Klongo ,
if the W+ manifests from its quantum geometric VPE structure in an ORbar-IR oscillation.
For antimatter IRbar with matter OR, for the neutral kaon K obar oscillates from its kernel VPE K.Kbar or
u.ubar an antimatter IRbar to a matter OR for the matter weakon:
Ko = dbar.s = [Kbar+IRbar].[K+OR] = [K.Kbar][0] + [IRbar*OR][0]
= [K.Kbar][0] + [IRbar{OR+antiνelectron][+1]}W- + Gγ[-1]
⇒ {u.ubar+d.dbar or u.dbar+ubar.d} + {strong weak gluon-anti-neutrino kernel-ring interaction suppressing
any lepton decay products}[-½-½+1]}
⇒ {πo+πo or π++π-} ⇒ Kshorto or
⇒ {u.dbar+e[-½] + antiνelectron[½]} ⇒ π+[0] + e-[-½] + antiνelectron[½] ⇒ Klongo ,
if the W- manifests from its quantum geometric VPE structure in an IRbar-OR oscillation.
But an exchange of the inner and outer rings in their matter and antimatter nature is also possible resulting
in the super positioning of the neutral kaon's wavefunctions and leading to CP violation in that mixing
between matter and antimatter in characteristics defined in the weakon quantum geometry.
Here, the Graviphoton does not neutralize the interacting weakon spin, but spin induces the interacting
mesonic inner ring in the IR-ORbar or IRbar-OR oscillation and delaying the strong weak kernel-ring
interactions for the antigluon-neutrino or gluon-anti-neutrino kernel templates respectively.
Ko = d.sbar = [K+IR].[Kbar+ORbar] = [K.Kbar][0] + [IR*ORbar][0]
= [K.Kbar][0] + [IR*[0]{ORbar + νelectron][-1]}W+ + Gγ[+1]
⇒ [u.ubar][0] + {IR*[+1] + ORbar[-1] + νelectron[0]} ⇒ [u.ubar][0] + [KIR.KIRbar][0] ⇒ {u.ubar+d.dbar} as a twoparticle decay in anti-gluon-neutrino strong weak interaction and with the Graviphoton[+1] spin inducing the
matter based Inner Ring to neutralize the opposite spin of the interacting W +[-1] weakon.
218
Ko = dbar.s = [Kbar+IRbar].[K+OR] = [K.Kbar][0] + [IRbar*OR][0]
= [K.Kbar][0]+[IRbar{OR+antiνelectron][+1]}W- + Gγ[-1]
⇒ [u.ubar][0] + {IRbar*[+1] + OR[-1] + antiνelectron[0]} ⇒ [u.ubar][0] + [KIRbar.KIR][0] ⇒ {u.ubar+d.dbar} as a
two particle decay in gluon-anti-neutrino strong weak interaction and with the Graviphoton[-1] spin inducing
the antimatter based Inner Ring to neutralize the opposite spin of the interacting W -[+1] weakon.
The difference in the antimatter to matter and matter to antimatter kernel-ring oscillation so results in the
mixing of the wave functions to exemplify the CP violation in the neutral kaon as decaying in different
fashion and decay rates as the Kshorto = {d.sbar+dbar.s}/√2 and the Klongo = {d.sbar-dbar.s}/√2 in decay times
differing in a factor of the light-matter interaction probability α in tKso=8.95x10-11 s* in a two particle decay
{πo+πo or π++π- } and 5.18x10-8 s* in a three particle decay {πo+πo+πo or πo+π++π- or π++e-+νelectron or π-+e++ν
or similar pion-lepton combinations from the weakon templates} respectively.
This superposition so shows the Kshorto to engage the W- and the Klongo to utilize the W+ in a distinct quantum
geometric difference between the kernel-inner ring - outer ring oscillations between that of interacting
matter weakons and that of interacting antimatter weakons.
The discovery in 1964 of the Klongo also at times manifesting a two-particle decay proved the CP violation at
the Brookhaven Alternating Gradient Synchrotron Laboratory by a collaboration led by James Cronin and Val
Fitch of Princeton University and extended the original CP symmetry violation found in 1957 by Yang, Lee
and Wu. As shown above, this CP violation becomes a consequence of wave-quarkian quantum geometry
applied to quantum chromodynamics.
For the neutral B-mesons defined in a diquark structure (U=[uu] for c=U.ubar; b=[ud].ubar; t=[ds].U) detailed
further on in this paper, the CP violation at a higher energy level becomes more pronounced and susceptible
to the measurement of the manifesting energies.
Because the Klongo decay pattern also allows a two particle decay in the form of the mesonic ring part of the
b-quark being spin induced by the Graviphoton, instead of the latter spin neutralizing the weakon spin; an
excess of the matter based diquark b=ud.ubar decay patterns relative to the antimatter based anti-diquark
bbar=ud.bar.u will be observed in the experimental evidence in the subtraction of the K longo decay patterns
becoming added to the decay patterns of the Kshorto.
Typical decay patterns for the B-mesons are:
B- = b.ubar = [ud.ubar].ubar = [U+IR+Kbar].[Kbar]
= [K.Kbar] + [K+Kbar] + {IR*-OR[+½] + antiν[+½]}W- + Gγ[-1]
⇒ Uubar + OR[-½] + antiν[+½] ⇒ ucbar[0] + OR[-½] + antiν[+½] ⇒ Do[0] + (e-;μ-)[-½] + antiν[+½]
B+= bbar.u = [udbar.u].u = [Ubar+IRbar+K].[K]
= [K.Kbar] + [Kbar+K] + {IRbar*-ORbar[-½]+ν[-½]}W+ + Gγ[+1]
⇒ Ubar + KIRbar* - ORbar[+½] + ν[-½] ⇒ c.ubar[0] + ORbar[+½] + ν[-½] ⇒ Do[0]+(e+;μ+)[+½] + ν[-½]
Bdo = b.dbar = [ud.ubar].dbar = [U+IR+Kbar].[KIRbar]
= [U.Kbar + KIRbar] + {IR*-OR[+½]+antiν[+½]}W- +Gγ[-1] ⇒ Uubar + KIRbar+OR[-½] + anti[+½]
⇒ c.dbar + OR[-½] + antiν[+½] ⇒ D+[0] + (e-;μ-)[-½] + antiν[+½]
219
Bdo = bbar.d = [udbar.u].d = [Ubar+IRbar+K].[KIR]
= [K.Kbar] + [Ubar.K+KIR]+{IRbar*-ORbar[-½] + ν[-½]}W+ + Gγ[-1]
⇒ Ubar.u+OR[-½] + antiν[+½] ⇒ cbar.d + ORbar[+½] + ν[-½] ⇒ D-[0] + (e+;μ+)[+½] + ν[-½]
For antimatter IR and matter OR, a possible decay mode is:
Bso = bbar.s = [udbar.u].s = [Ubar+IRbar+K].[K+OR]
⇒ [Ubar+IRbar+K].[K[0] + ({OR+antiνelectron][+1]}W- + Gγ[-1]) ⇒ [Ubar+IRbar+K].[K[0] + antiνelectron[0])
⇒ ([Kbar.Kbar]+K+IRbar)(K+OR) ⇒ [Kbar.K] +[KIRbar.KOR] + {strong weak kernel-ring gluon-anti-neutrino
interaction suppressing any lepton decay products} ⇒ uubar + dbar.s ⇒ πo + Ko
⇒ [Kbar.KOR]+[K.KIRbar] {strong weak kernel-ring gluon-anti-neutrino interaction suppressing any lepton
decay products} ⇒ ubar.s + udbar ⇒ K- + π+
For matter IR and antimatter OR, a possible decay mode is:
Bsobar = b.sbar = [ud.ubar].sbar = [U+IR+Kbar].[Kbar+ORbar]
⇒ [U+IR+Kbar].[Kbar[0] + ({ORbar+νelectron][-1]}W+ + Gγ[+1])
⇒ [U+IR+Kbar].[Kbar[0] + (ORbar[0]+νelectron[0]) ⇒ ([Kbar.Kbar]+Kbar+IR)(Kbar+ORbar)
⇒ [Kbar.K] + [KIR.KORbar] + {strongweak kernel-ring gluon-neutrino interaction suppressing any lepton
decay products} ⇒ uubar + d.sbar ⇒ πo + Ko
⇒ [K.KORbar] + [Kbar.KIR] {strongweak kernel-ring gluon-neutrino interaction suppressing any lepton decay
products} ⇒ u.sbar + ubar.d ⇒ K+ + πThe neutral kaon Ko d.sbar-dbar.s quark content superposition repeats the CP violation as indicated.
220
{2} Matter interacts with matter based Anti-Neutrinos via superposed VPE-Weakon
Action
Protons transform into neutrons with antimatter positrons and where the interacting anti-neutrino as
constituent part of the W- weakon induces Pair-Production for weakon's electron in tapping the VPE to
manifest a like spinning positron to neutralize the boson spin of the Graviphoton. The spin of the
Graviphoton so cancels the spin of the Pair-Production VPE as well as the spin of the weakon boson in a
superposition of the VPE and the weak interaction.
A up quark of the proton then changes into a down quark for the produced neutron in a double transition
from the Outer Ring of the weakon's electron transiting to the Inner Ring and the original anti-neutrino
transits from the Inner Ring onto the Gluon-Neutrino kernel K as the decay products of a free neutron. The
right-handed spin quantum of the anti-neutrino cancels the left-handed quantum spin of the weakon's
electron base which was flipped by the Graviphoton for the MIR oscillation between the up quark and the
down quark transformation.
{Mass produced photons (by acceleration of inertia coupled electro charges), have no magneto charge and
so form their own anti-particles; whilst gauge or 'virtual' photons carry cyclic and anticyclic colour charges as
consequence of the matter-antimatter asymmetry}.
Proton p+[-½] + Antiνelectron[+½]
⇒ p+[-½] + {Antiνelectron[+½] + (Electron e-[+½]}W- + Positron e+[+½]VPEo[+1] + Graviphoton[-1]
⇒ p+[-½] + {Electron e-[-½] + Antiνelectron[+½]} + Positron e+[+½]
⇒ {p+[-½]+IR-[0]+Ko[-½+½]} + e+[+½] ⇒ no[-½] + e+[+½]
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{3} Matter interacts with antimatter-based Neutrinos via Unified Weakon Action
{OR+Antiν=W-;ν+Anti-OR+=W+}
Neutrons transform into protons with muons, the latter decaying into electrons and anti-neutrinos and
neutrinos, so reducing the elementary matter-neutrino interaction to basic neutron beta minus-decay with
the leptonic coupling between the 'resonance electron' as a basic muon coupled to its neutrino. A neutron's
down quark transforming into a up quark in disassociating the mesonic Inner Ring part of the down quark
from its up-quark kernel part to become the leptonic Outer Ring part of the manifesting muon. The
interacting muon neutrino couples with the antineutrino of the weakon template as its own anti particle
transferring its mass to the muon and changing its self-state from mass defined Diracness to massless
Majorananess in the process.
Neutron no[-½] + νmuon[-½] ⇒ no[-½] + νmuon[-½] + ({Antiνmuon[+½] + (Muon μ-[+½]}W- +GP[-1])
⇒ d[-½]u[+½]d[-½] + *{KIROR-Oscillation (OR-IR-K)[+½] +Antiνmuon[+½]+νmuon[-½] + GP[1]}
⇒ d[-½]u[+½]u[-½] + IR-[0] + {OR-[+½]+GP[-1]} +{R2G2B2[-½] + B2G2R2[+½]} ⇒ p+[-½] + μ[-½] + VPE[0]
⇒ p+[-½] + μ-[-½] +VPE[0]
⇒ p+[-½] + *{KIROR-Oscillation (OR-IR-K)[-½]}({e-[+½] + Antiνelectron[+½]}W- + GP[-1])
⇒ p+[-½] + νmuon[-½] + e-[-½] + Antiνelectron[+½]
In the muon beta decay, the KIROR oscillation transfers the spin of the interacting muon as the spin of its
self-state neutrino and enabling the constituents of the matter weakon W - to manifest with the right-handed
electron part flipping to manifest the left-handed electron of the beta decay.
222
XII: The Gravitational Constant, the Alpha Finestructure Constant and the GUTMonopole
GoXnp(1+ec/30ec + 1/e*)=GoXnp{1+1/30+1/e*}=(6.44221014x10-11){31/30+1/500} =6.66983490x10-11
[m3/kgs2]* = 6.67445232x10-11 [m3/kgs2]SI for the unitary calibration [m3/kgs2]*=1.000692286 [m3/kgs2]SI
{s}SI
= 1.000978394 {s*}
= 0.999022562 {s}SI
{m}SI = 1.001671357 {m*}
= 0.998331431 {m}SI
{kg}SI = 1.003753126 {kg*]
= 0.996260907 {kg}SI
{C}SI
= 1.002711702 {C*}
= 0.997295631 {C}SI
{J}SI
= 1.005143377 {J*}
= 0.994882942 {J}SI
{eV}SI = 1.00246560
{eV*}
= 0.997540464 {eV}SI
{K}SI
{K*}
= 1.017273559 {K}SI
0.98301975
The variation observed in the experiments to measure the gravitational constant G(n) therefore depend not
on the time variation decrease for G(n), which is precisely balanced in the time variation increase of the M(n)
factor in the gravitational parameter, but is a mirror effect of the universal pole direction variation in the
alpha finestructure constant, given as /=8.08x10-5 and as the effect of the Dirac string connecting the
three wormholes of the QBBS instanton-inflaton couplings quantum entangling the Riemann-Baab universe
with the Abba-Khaibit shadow universe in the definitions of the string-membrane modular T-Mirror dualities.
Alpha remains constant for a cosmology descriptive of a non-accelerating cosmology; but will result in a
change in the electric charge quantum in a cosmology, which measures an accelerated spacial expansion,
which is however the result of a self-intersection of the light path for particular cosmological redshift
intervals in an oscillating cosmology.
Here a particular alpha variation reduces the SI-measurement for the square of the charge quantum e in a
factor of (1.6021119x10-19/1.60217662x10-19)2 = 0.99991921...for a calibrated alpha variation
αvar = 1 - (1.602111895/1.60217662)2 = 1 - 0.9999192 = 8.08x10-5 with Alpha α = μoce2/2h = e2/2εohc
= 2π(2.99792458)(1.602111895)2x10-37/(6.62607004x10-34) = 60πe2/h
= 7.296762965x10-3 = 1/137.0470721.
As the electropolar charge quantum appears squared in the Alpha-Constant, the Alpha-variation so becomes
(1.0000807), with the old value of (e') exceeding the new value of (e) in so 4 parts in 100,000 and [Alpha]'
greater in magnitude than Alpha by 81 parts in a million and in agreement with the Churchill-Webb
measurements of 1998 and the more recent measurements from by the Wilczynska-Webb-BainbridgeBarrow-Bosman collaboration (Published 2020), observing very distant quasars with redshifts from quasar
J1120+0641 with z=7.085 for an alpha variation
Δα/α = (αz − α0)/α0 = (−2:18 ± 7:27)x10-5. https://advances.sciencemag.org/content/6/17/eaay9672
223
The variation in the laboratory measurements of Newton’s gravitational constant G is the combined effect of
the monopole mass, which when added with the inverse of the magnetic charge quantum defining the Dirac
monopole, but as the proportionality connecting the electropolar charge to the magnetopolar charge from
e*Ep s= 1 = {e*/2e√{melectron/mplanck}, increases the decreasing G(n) = GoXn
The nucleon mass mc(n) = mcYn compensates for the constancy of Gomo = G(n)m(n)) by one magnetic
monopole mass mm = [ec] with the source energy perturbation.
Inverting the proportionality {2e√ = e{melectron/mplanck} for the proportionality constant as a function of
alpha gives 2√ = {e*/e}{ melectron/mplanck} with {2√}/{2e*√} = Eps
Using proportionality constant (2√/300) to account for the proportionality 1+1/30 = 31/30 = 310/300
instead of Eps as the perturbation E ps-2√/300=1.43052605x10-3 in G(npresent) = G(np)
G(np) =GoXnp{31/30+1.43052605x10-3} = (6.44221014x10-11){1.03476386} = 6.666123x10-11 [m3/kgs2]*
= 6.67073786x10-11 [m3/kgs2]SI differing from the full perturbation by
(6.67445232x10-11 - 6.67073786x10-11) [m3/kgs2]SI = 3.7144565x10-3 [m3/kgs2]SI or so 4 parts per 1000
Using Dirac’s quantization condition as proportionality Eps-(2/300)=1.95135491x10-3 gives
G(np) = (6.44221014x10-11){ 1.03528469}=6.66952152x10-11[m3/kgs2]* =6.67413873x10-11 [m3/kgs2]SI
differing from the full perturbation by
(6.67445232x10-11 - 6.67413873x10-11) [m3/kgs2]SI = 3.135873x10-4 [m3/kgs2]SI or so 3 parts per 10,000
And using the nature of the Action Law as the square of charge for a proportionality constant
Eps-(2√/300)2=Eps-(4/90,000)=1.99967570x10-3 results in
G(np) = (6.44221014x10-11){1.03533301}=6.66983281x10-11[m3/kgs2]* = 6.67445024x10-11 [m3/kgs2]SI differing
from the full perturbation by
(6.67445232x10-11 - 6.67445024x10-11) [m3/kgs2]SI =2.07907x10-6 [m3/kgs2]SI or so 2 parts per Million
Because the source energy quantum Eweyl = Eps = mpsc2 = 1/e*= (1/2e√){melectron/mplanck}, the direct
proportionality between electro charge quantum e and magneto charge quantum e* for the magnetic flux
m = (mps/[ec]mod)ec3 = Eps=1/e* modifies the gravitational parameter in the basic Schwarzschild metric
rcurv = 2GoM/c2
The distribution of the 30 GUT monopoles maximizes the minimum condition for a single monopole in the
distribution of 30 monopoles in the doubling of the gravitational parameter from the gravitational potential
energy GMR/R2 = -∇Φ in 4-dimensional spacetime to the gravitational parameter for of a Schwarzschild
Black Hole in 5-dimensional spacetime 2GoM = Go{M} = {Go/[ec]}{1+1/30+…+1/30} for the GUT unification in
the timespace preceding the QBBS.
This occurs at the unification mass scale for the fine structures
alphaEMR = 2kee2/hc = 2Gomm2/hc = alphaGR and requiring 30 ‘t Hooft-Polyakov magnetic monopoles in the
definition of the Maxwell constant oo = 1/c2 in units [Js2/C2m][C2/Jm] with the condition
kee2 = Gomm2 = Go[ec]2 for unitary consistency [ke] = [Jm/C2] = [Js/C2][m/s] = [Action h/Charge C2][c] with
Go = [e*/kg] = [m3/kgs2]=[Js/kg2][m/s] = [h/(ec)2][m/s] = [h/C2][s/m] = [h/C2][1/c] for the reciprocity of
lightspeed c as the invariant constant relating the electropolar charges and fields to their magnetopolar
counterparts in modular duality-inversion properties of the Action Law as [Charge C2 = Action h].
224
The units of the Action Law allow a definition for the ‘bare’ electron mass as: me = 30e2/cRe kg*
[C2] = [h] = [Js] = kgm2/s] for [kg] = [C2s/m2] for 30 monopole masses as a GUT monopole mass.
This also defines ke[e2] = mm2/ke for mm2 = ke2[e2] = [e/4o]2 = [120ec/4]2 = [30ec]2 = mm2 from the Maxwell
constant oo = {1/120c}{120/c} = 1/c2 for the unification condition for the mass of a boundary ‘t HooftPolyakov magnetic monopole to be 30[ec] kg* or 30[ec]c2 Joules of monopolar energy.
A single ‘t Hooft-Polyakov monopole would have a mass of
mmonopole = [ec]mod = 4.819369032x10-11 kg*for a GUT string unification energy of 4.3374321288x107 J* or
2.7x1016 GeV*.
All 30 ‘t Hooft-Polyakov monopoles would have a mass of for a GUT string unification energy of
1.30122964x108 J* or 8.1x1017 GeV*.
For a mass less universe with no magnetic monopoles, the Schwarzschild metric would take the form with a
gravitational constant Go defining the curvature as a function of purely electromagnetic mass
rcurvc2 = Go{1+0}M = GoM=M/ke = 4oM and where M would be expressed in terms of a Maxwell's
displacement current [ec]mod=currentxdisplacement.
(12) (PDF) Monatomic Superconductivity in the Alchemy of the Stability of the Nucleus | Anthony P
Bermanseder - Academia.edu
225
An Evolution of the Universe in an oscillating spacetime and the Age of the Earth
Newton's gravitational constant so can vary and decrease over time as a function of the change in the
universal inertia increasing in direct proportionality and the transformation of source energy into physically
expressed units of quantum consciousness in the gravitational parameter GM=G oMo=G(n)M(n) and n a
dimensionless cycle time. Cycle time parameter n is defined in n=Hot=ct/RH defining the invariant light path
X=ct as a scale factor for the size of the universe defined at cycle time coordinate n in a nodal minimum
Hubble constant fweyl, defined as the instanton of creation and varying between odd and even nodes for a
maximized Hubble constant Ho=dn/dt as the inflaton of creation in the first semi-oscillation of protoverse as
a first seedling universe.
An electromagnetic return of the source light traversing the light path X=ct in the 11-dimensional and
higher-dimensional universe so gives birth to a second, but concurrent universe within the omniverse as a
multiverse after the completion of the light path of creation has reached the nodal boundary set at the
instanton of the Weyl wormhole frequency in the cosmology of the Quantum Big Bang.
The electromagnetic monopolar source light so both reflects and refracts its path from the maximized
Hubble Ho-boundary of the inflaton. The refracted light path then increases the size of the bounding
omniverse in the addition of wormhole quanta defined in the quantum of universal consciousness and the
light path reflected from the 11-dimensional Witten spacetime mirror retraces the light path travelled from
the instanton node to the inflaton node as the initial boundary conditions of the multi-dimensional
cosmology.
The lower dimensional expansion of the universe so is continually decelerating in a parametrization of the
wormhole parameters applied to the multitudinous form of the volumars occupying the 10 dimensional
string universe; but the electromagnetic retracing of the original light path will intersect itself and cause the
measurements of cosmological expansion as a redshift of the light observed to appear as a cosmological
contraction and a contraction which will also be observed as a universe accelerating its own expansion.
226
At a present cycle time of n=1.1327127… and a nodal n=1 for tpresent=1/Ho, the electromagnetic return of the
monopolar light path has retraced 13.271 % of the Hubble event horizon defined in R H=ct=c/Ho of about 16.9
billion light years for a fraction of 2.24 billion light years indicating that the electromagnetic monopolar age
of the universe is 16.876+2.240=19.116 billion light years; but that this will be measured in the
gravitationally decelerating cosmology as 19.12-4.48=14.64 billion light years.
As the age of the earth is near the doubled light path of the self-intersection in 4.48 billion years added to a
doubled interval of a variation in the alpha finestructure constant in 28.6 million years, the age of the earth
is 4.48+0.056=4.536 billion years.
Alpha remains constant for a cosmology descriptive of a non-accelerating cosmology; but will result in a
change in the electric charge quantum in a cosmology, which measures an accelerated spacial expansion,
which is however the result of a self-intersection of the light path for cosmological redshift intervals in an
oscillating cosmology.
Here a particular alpha variation reduces the SI-measurement for the square of the charge quantum e in a
factor of (1.6021119x10-19/1.60217662x10-19)2 = 0.99991921...for a calibrated:
alpha variation αvar = 1 - (1.602111895/1.60217662)2 = 1 - 0.9999192 = 8.08x10-5 with
Alpha α = μoce2/2h = e2/2εohc = 2π(2.99792458)(1.602111895)2x10-37/(6.62607004x10-34) = 60πe2/h
= 7.296762965x10-3 = 1/137.0470721.
As the electropolar charge quantum appears squared in the Alpha-Constant, the Alpha-variation so becomes
(1.0000807), with the old value of (e') exceeding the new value of (e) in so 4 parts in 100,000 and [Alpha]'
greater in magnitude than Alpha by 81 parts in a million and in agreement with the Churchill-Webb
measurements of 1998, increasing from Alpha = μoc.e2/2h = 1/137.047072 to Alpha = 1/137.036003.
The age of the Milky Way galaxy can be determined by using the process of nucleosynthesis in the early
universe in the physics of nucleochronology, that is in measuring the abundance of radioactive elements,
such as Thorium-232 (98.98%) compared to the abundance of a known abundance of another stable
chemical element found in the periodic table of the atomic elements, such as Europium-153(52.2%);
Europium-151(47.8%) is unstable with a half-life of 5.10x109Gy.
In the early universe only rapid neutron capture occurred to synthesize the heavier elements. Spectroscopic
evidence of absorption spectra for the ultra-metal-poor and massive Galactic Halo Star CS 22892-052 has
discovered an abundance of the radioactive element Thorium with half-life 14.05 Gy in
N(tmean)=No.exp[-14.05/tmean} for a mean lifetime of tmean= t½/ln2=14.05/ln2 = 20.27 Gy.
This larger age is comparable to the Electromagnetic Monopolar EMMI age of the QBBS; but ignores the
chemical evolution of the universe adding the reactive elements Europium and Thorium in varying
proportions by the rapid neutron capture process to their universal abundance in the subsequent
thermodynamic evolution of the universe. The chronometric age determination for CS 22892-052 then
provides an estimate of the age for the Milky Way Galaxy and its globular cluster stars.
At the time of the creation of the solar system 4.6 Gy ago, the Thorium/Europium ratio is measured today as
0.369 but as 0.219 in globular cluster star CS 22892-052 in N(t)=No(to){2[-t/t½].
The {Th/Eu} is (0.369)=No.2[-4.6/14.05] for No=0.463, substantially higher than that for globular cluster star CS
22892-052 measured as 0.219, indicating a far greater age for the star, then calculated for the abundance
ratio in the much younger universe for a N o=(0.219). 2[4.6/14.05]=0.275.
And for the mean lifetime tmean=t½/ln2=20.27 GY:
227
https://iopscience.iop.org/article/10.1086/303968/fulltext/ John J Cowan et all; The Thorium Chronometer
in CS 22892-052: Estimates of the Age of the Galaxy; Astrophysical Journal; THE ASTROPHYSICAL JOURNAL,
480:246 254, 1997 May 1
In an earlier paper, addressing the actinide chronometer production ratios for the rapid-neutron capture
process derive an age for the Milky Way galaxy of 20.8 [+2/-4] Gy and an age for the universe of
19.5 [+3/-3] Gy for a (Sandage) Hubble constant of 60 km/Mpc.s .
Those calculations concur with the EMMI age of the universe as 19.12 Gy for a nodal Hubble constant of
58.04 km/Mpc.s for a not accelerating universe with zero cosmological constant in the Friedmann-Walker
cosmology.
Title: New actinide chronometer production ratios and the age of the Galaxy
Authors: Thielemann, F.-K., Metzinger, J., & Klapdor, H. V.
Journal: Astronomy and Astrophysics (ISSN 0004-6361), vol. 123, no. 1, June 1983, p. 162-169.
http://articles.adsabs.harvard.edu/full/1983A%26A...123..162T
228
Measuring Alpha even further back towards the Quantum Big Bang with increasing redshift, would better
approximate the 80 parts per million increases in Alpha from say lower deviations at the say 8 parts per
million at lower redshifts. So, the Alpha-Dip indicates that the textbook SI-value for the electropole is
fractionally too high; but that the Alpha Finestructure Constant remains indeed constant once the variation
in the electronic charge quantum is considered.
Because the magnetic permeability constants are numerically the same in both the (SI) and the (*) unitary
measurement systems; but εo=1/120πc=8.841941283x10-12 (F/m)* and is
εo=8.8541878176x10-12 F/m (SI), the (SI) measurement is too large by a factor of 1.00138505 to correlate
correctly with the magnetic permeability constant μ o to give the Maxwell constant
μoxεo=(120π/c).(1/120πc)=1/c2.
In the attempt to explain the Alpha-Dip, some theorists have proposed a 'slowing down' of (c). Recent
formulations by populist physicist Paul Davies and in co-authorship with Tamara Davis and Charles
Lineweaver from the Department of Astrophysics at the University of New South Wales, Sydney, Australia
have followed the wrong avenues for the interpretation of the data, however. In a paper published in
('Nature': 'Black Holes constrain varying constants'; August 8th, 2002), the authors propose a varying light
speed to be responsible for the Alpha-Dip and discount any possible variation in the electrocharge quantum.
Davies' argument that an increase in (e) would alter the evolution of Black Holes in their entropy definitions
does not consider that a product of the Boltzmann Constant (defining entropy), with (e) forms a
fundamental fine-structured constant.
In particular, the universe's wavefunction B(n) is localized in any arbitrary spacetime in 'unfreezing' the Mspace 'stuck' in between the (X,Y) coordinates and subsequently in between real and imaginary linearized
time parameters. This demands the establishment of a Mean-Alignment-Time or MAT, relative to an
'unfreezing definition' in a specification of the 'naked singularity', oscillating as zero-point about the FRB.
229
As E*.e*= Epsx1/Eps = 1 as fundamental unity in the 11D Membrane-Mirror-Space of modular duality with
e* the magneto charge; one can heuristically state that (Energy E x charge quantum e) in the lower
dimensional C-Line-Space C can be expressed as the inversed identity in the form of 1/T.
This then sets E.e=kBTe=1 for [ekB]=1/T and using an inverse proportion for mass in the lower dimensionality:
[e*kB*]=1/T* sets a function f(n)=[ekB]/[e*kB*]=[T*/T].
This is the case for the Mass-Temperature inverse proportionality for the evolution of Black Holes from
microstates to macro states and as in the Hawking Mass-Temperature relation for Black Holes and relabeling
the Weyl string as the primary sourcesink ‘ps’ high frequency with small wavelength part of the modular dual
supermembrane EpsEss and with the secondary sinksource ‘ss’ being the low frequency with large wavelength
part of the Witten supermembrane.
Then the Minimum Planck Oscillator E plancko= ½hfplanck=½mplanck.c2 for Tmax=Tps and Tmin=Tss in string modular
T-duality for ½mplanck.Tplanck=(1/8π)(4π).mplanck.Tplanck=Hawking Modulus
HM=hc3/4πGokB=MBHmin.TBHmax={c2/4π2}. MBHmax.TBHmin}. B(n) is assigned B(npresent)={[ekB](SI)/[ekB](*)}, with
{[ekB](SI)=constant=(1.60217662x10-19 C)(1.380649x10-23 J/K)=2.21204355x10-42 CJ/K} and using the old (SI)
value with the Alpha-Variation for (e').
Using (e±=1.6021119x10-19 C) without the Alpha-Variation gives {[ekB](SI)}=2.21195419x10-42 CJ/K}.
The (*)-constant is a relatively fixed constant as: (e±*kB*=2.267869086x10-42 (CJ/K)*) and subsequently
B(npresent) calculates a particular value for n at the asymptote B(n⇒±∞)=0 for e=1.606456344x10-19 C*.
{[e±kB](SI)/[e±kB]*}=(2.21204355/2.267869086)=0.975384145=[2e/hA].exp(-[Alpha]x[npresent2+npresent]), which
yields a unique (npresent) as a complex solution to the quadratic equation by
ln(0.975384145/0.992729803)={ln(0.982527312}={-Alpha}{npresent2+npresent} for 2.415747501=npresent2+npresent
for: npresent2+npresent-2.415747501=0 and solving as: {npresent=FRB(-½)±1.6327117}.
{[e±kB](SI)/[e±kB]*}=(2.21195419/2.267869086)=0.975344742=[2e/hA].exp(-[Alpha]x[npresent2+npresent]), which
yields a unique (npresent) as a complex solution to the quadratic equation by
ln(0.975344742/0.992729803)={ln(0.98248762}={-Alpha}{npresent2+npresent} for
2.421284031=npresent2+npresent
for: npresent2+npresent-2.421284031=0 and solving as: {npresent=FRB(-½)±1.634406324}.
For the unfrozen M-space with Alpha-Variation:
{10D-root: npresent=1.1327127 (real) & 12D-root: npresent=-2.1327117 (imaginary)}.
For the unfrozen M-space without Alpha-Variation: {10D-root: npresent=1.1344063 (real) & 12D-root:
npresent=-2.1344063 (imaginary)}.
The difference in the present np cycle-time coordinates so becomes:
1.634406324-1.6327117 = 0.001694624 as 0.001694624/Ho = 9.02486387x1014 s* or 28.59865512
Million civil years. This 'unfreezing' of M-space then allows the singularity algorithm of the
cosmogenesis to manifest in what might be called the sex chromosomes of the universal DNA-encoding
in terms of frequency or a number count. A new physical quantity in 'awareness' is defined as the time
differential of frequency and allows the concept of 'consciousness' to be born from the defining
qualities of magneto charges.
230
The Gravitational constant in the evolvement of the primordial nucleon mass mc =
mplanck.{}9
The Standard Gravitational Parameter μ = GM = constant = GoM(XnYn)= GoXn.MYn and for (XY)n=1 can be
finestructured in a decreasing gravitational constant G(n)=G oXn with a corresponding increase in the mass
parameter M as M(n)=MoYn as say for the proto-nucleonic mass of the Instanton mc(nps) as mc(npresent)
= mc.Ynpresent = mneutron < mcYnpresent = 1.711752..x10-27 kg* and 958.99 MeV* upper limited
For a changing Gravitational constant G(npresent) .mneutron(npresent)2 = Gomc2.Ynpresent and is modulated say in A
micro-macro Black Hole perturbation
Mo2/2M∞.MMaxHawking = 1.000543 ~ 1
The Black Holed mass equivalence for astrophysical bodies is well formulated in the application of the basic
Schwarzschild metric derived from General Relativity.
Stephen Hawking developed the inverse proportionality between the mass of a Black Hole M and its
Temperature T in the form of the Hawking Modulus:
HM = mPlanck.EoPlanck/kb = √{hc/2πGo}{½mPlanck.c2/kb} = hc3/4πGokB = {MSmin.TSmax}
= [c2/4π2]mod.{MMaxHawking .TSmin } = 9.131793821x1023 kg*K*
The Hawking Modulus so has mensuration units [Mass][Temperature] in [kg][K(elvin)] or [kgK]* for the
Stefan-Boltzmann entropy constant kb=kB.
And so Mmin.Tmax = hc³/4πGokB = [c2/4π2]mod.Mmax.Tmin = ½mPlanck.TPlanck = MMaxHawking. [c2/4π2]mod.Tss and the
Hawking Mass is determined as MMaxHawking = λmaxπc²/Go = 2.54469..x1049 kg*.
HyperMass MHyper (nps) = hc3.e*/4πGo = 6445.775 kg at the Instanton boundary n=nps so increases to
MHyper(npresent)Ynpresent =hc3.e*/4πGoXnpresent ~ 11,117.26 kg as the projected Instanton boundary mass for the
wormhole radius rwormhole = rps modulating the Inflaton curvature with the Instanton curvature and utilizing
npresent=1.132712... for a decreased perturbed G(npresent) = 6.442x10-11 G-string units for the Standard
Gravitational Parameter G(n)miYk(n).mjYn-k = Gomc2 = constant for G(n)=GoXn.
Using the λminλmax=1 wavelength modulation in the T-duality of λmin=2πRmin=1/λmax=2π/Rmax, this modulation
closely approximates the geometric mean of the seedling mass in {1/4π}M o2/2M∞.MMax=Mo2/8π.M∞.MHawking
=3.2895..x10102/3.2931..x10102 ~ 0.998910744...
This also circumscribes the actual to critical density ratio in the omega of the general relativistic treatment of
the cosmologies.
The applied G value in Gm(n)=Go.Xn as now coupled to the derived Black Hole Mass modulation coupled to
the quantum micro masses.
Gomc²={GoXn+k}.{mcYn}.{mcYk}=Gm(n).mnmax.mnmin and where Gm is the actual G value as measured and which
has proved difficult to do so in the laboratories.
Gm(n)=Go.Xn+k=Gomc²/mnmax.mnmin=Gomc²/({mcYn}{mnmin}) and where we have mnmin=mcYk} for the unknown
value of k with mnmax=mcYn.
231
So Gm(n)=Go.Xn+k=GoXn[mc/mnmin]=Go{mc2/mcYn}.{Mo2/8π.M∞.MHawking.mav} for
Xk={mc/mav}.{Mo2/8π.M∞.MHawking}=1.00109044..{mc/mav}
and where now {mnmin}={8π.M∞.MHawking.mav/Mo2}=1.00109044..mav.
mav={Mo²/8π.M∞.MHawking}{mnmin}={Mo²/8π.M∞.MHawking}{mcYk}=0.9989107..{mcYk} and represents a reduced
minimum mass mnmin=mcYk.
But the product of maximum and 'new' minimum now allows an actual finetuning to a measured nucleon
mass mN by:
mN² = mavYn.mcYn=mav.mnmax.Yn.
So, substituting for mav in our Gm expression, will now give the formulation:
Gm(n)=Go.Xn+k=GoXn[mc/mnmin]=Go{mc2/mcYn}.{Mo2/8π.M∞.MHawking.mav}
Gm(n)=Go.Xn+k=GoXn[mc/mnmin]=Go{mc2/mcYn}.{Mo2/8π.M∞.MHawking}{mcY2n/mN2}
Gm(n)=Go.{mc2/mN2}{Mo2/8π.M∞.MHawking}Yn
The average nucleon mass mN is upper bounded in the neutron mass and lower bounded in the proton mass,
their difference being an effect of their nucleonic quark content, differing in the up-down transition and
energy level and because of electro charges increasing the intra-quarkian Magneto charge coupling between
the two mesonic rings of the neutron and a single mesonic ring in the proton's down- or KIR-quark.
For a Neutron Restmass of: mneutron=1.6812656x10-27 kg* (941.9111 MeV*)
or (1.6749792x10-27 kg and 939.554 MeV)
the substitution (and using calibrations m=1.001671358 m*; s=1.000978395 s*; kg=1.003753127 kg* and
C=1.002711702 C* gives:
G(np)= Go{mc/mneutron}2.(0.9989107..)Ynp = 6.670693x10-11 (m3/kgs2)*
or 6.675312x10-11 (m³/kgs²).
For a Proton Restmass of: mproton=1.6788956x10-27 kg* (940.5833 MeV*)
or (1.672618x10-27 kg and 938.270 MeV).
G(np) = Go{mc/mN}2.(0.9989107..)Ynp = 6.6895399x10-11 (m3/kgs2)*
or 6.694171x10-11 (m³/kgs²).
Gm(n)=Go.Xn+k = 6.670693x10-11 (m3/kgs2)* then gives kp =ln{Gm(np)/Go}/ln{X} - np
= 1.0602852 - 1.132712 = -0.0724258
The upper value of the neutron bound so represents an upper limit for the Gravitational Constant as the
original quark-lepton bifurcation of the X-Boson precursor given in the KKK kernel. Only the KKK kernel is
subject to the mass evolution of the cosmos; the leptonic masses being intrinsically incorporated in the
Kernel means.
The mc.Yn so serves as an appropriate upper bounded approximation for G(n), subject to leptonic ring IR-OR
perturbations.
232
The best approximation for 'Big G' hence depends on an accurate determination for the neutron's inertial
mass, only fixed as the base nucleon minimum mass at the birth of the universe. A fluctuating Neutron mass
would also result in deviations in 'G' independent upon the sensitivity of the measuring equipment. The
inducted mass difference in the protonic-and neutronic rest masses, derives from the
Higgs-Restmass-Scale and can be stated in a first approximation as the ground state.
Basic nucleon rest mass is mc=√Omega.mP=9.9247245x10-28 kg* or 958.99 MeV*.
(Here Omega is a gauge string factor coupling in the fundamental force interactions as:
Cube root(Alpha):Alpha:Cuberoot(Omega):Omega and for Omega=G-alpha.)
KKK-Kernel mass=Up/Down-HiggsLevel=3x319.66 MeV*= 958.99 MeV*, using the Kernel-Ring and FamilyCoupling Constants.
Subtracting the Ring-VPE (3L) gives the basic nucleonic K-State as 939.776 MeV*. This excludes the electronic
perturbation of the IR-OR oscillation.
For the Proton, one adds one (K-IR-Transition energy) and subtracts the electron-mass for the d-quark level
and for the Neutron one doubles this to reflect the up-down-quark differential.
An electron perturbation subtracts one 2-2/3=4/3 electron energy as the difference between 2 leptonic rings
from the proton's 2 up-quarks and 2-1/3=5/3 electron energy from the neutron' singular up-quark to relate
the trisected nucleonic quark geometric template.
Proton mp=u.d.u=K.KIR.K=(939.776+1.5013-0.5205-0.1735) MeV* = 940.5833 MeV* (938.270 MeV).
Neutron mn=d.u.d=KIR.K.KIR=(939.776+3.0026-1.0410+0.1735) MeV* = 941.9111 MeV* (939.594 MeV).
This is the ground state from the Higgs-Restmass-Induction-Mechanism and reflects the quarkian geometry
as being responsible for the inertial mass differential between the two elementary nucleons. All ground state
elementary particle masses are computed from the Higgs-Scale and then become subject to various
finestructures. Overall, the MEASURED gravitational constant 'G' can be said to be decreasing over time.
The ratio given as k is GmYn/Go ~ 0.600362... and so the present G-constant is about 60% of the one at the
Planck Scale.
G decreases nonlinearly, but at a present rate of 0.600362/19.12x109 per year, which calculates as
3.1400..x10-11 G-units per year.
Generally using the exponential series expansion, one can indicate the change in G.
For Xn+k=z=exp[(n+k)lnX] by (n+k)lnX=lnz for the value u=(n+k)lnX=-0.481212(n+k); z transforms in
exponential expansion eu=1+u+u2/2!+u3/3!+u4/4!+...
For a function f(n)=z=Gm(n)/Go=Xn+k - f(n) =1-(0.481212.)(n+k)+(0.2316.)(n+k)2/2(0.1114.)(n+k)3/6+(0.0536.)(n+k)4/24-...+...
At time instantaneity of the Quantum Big Bang, n=nps=λps/Rmax=6.2591x10-49 ~ 0
Then GBigBang=GoXnps=Go (to 50 decimal places distinguishing the time instanton from the Null time as the
Planck-Time transform).
233
Go represents the quantum gravitational constant applicable for any Black Hole cosmology and can be used
to correlate the MOND gravitation with the Newton-Einstein gravitation in inferring a greater gravitational
constant in the cosmic past in conjunction with an inherent Milgröm deceleration as a time derivative of the
universal scale factor a={n/[n+1]}.
For our previously calculated k=ln(GmYn/Go)/lnX and which calculates as k= -0.0724258..
f(n)=1-(0.481212.)(n+k)+(0.2316.)(n+k)2/2-(0.1114.)(n+k)3/6+(0.0536.)(n+k)4/24-(0.0258.)(n+k)5/120+...-...
for f(1.132712)=1-0.51022+0.13016-0.02214+0.00283-0.000288...+...~ 0.6006340 to fifth order
approximation to 0.60036246...
Hence, the gravitational constant assumes a value of about 60.0% of its Big Bang initialization and calculates
as 6.675x10-11 G-units for a present cycle time npresent=Hotpresent=1.132712...
The introduction of the mass seed coupling between the macro quantum M o and the micro quantum
mc=mPalpha9 (from the gravitational finestructure unification) perturbs the 'purely electromagnetic'
cosmology in the perturbation factor k and increases the purely electromagnetic Gmemr in the black hole
physics described.
So gravity appears stronger when one 'looks back in time' or analyses cosmological objects at large
distances. The expansion parameter (a) in the Friedmann-Einstein standard cosmology can be rewritten as a
curvature ratio R(n)/Rmax={n/(n+1)} and describes the asymptotic universe in say 10 dimensions evolving
under the inertial parameters of the c-invariance.
This 'lower dimensional universe' is open and expands under hyperbolic curvature under the deceleration
parameter qo=½Ωo=Mo/2M∞=2GoHoMo/c³ ~0.014015... This open universe is bounded in the 'standing wave'
of the Hubble Oscillation of the 11D and 'higher dimensional universe'.
234
XIII: The Inflaton and the Grand Unification Symmetry in a
Transformation of Supermembranes
SEWG-------------------------SEWg--------SEW.G--------SeW.G-------S.EW.G-------------S.E.W.G
Planck Unification I-------IIB------------HO32----------IIA-----------HE64--Bosonic Unification
{Capitalization of letters infers emphasis and decapitalization of letters implies suppression of respective
fundamental interactions}.
The transformation of the 5 superstring classes proceeds in utilizing the self-duality of superstring IIB as the
first energy transformation of the Inflaton in the Planck string class I trans mutating into the monopole string
class IIB and residing in the 2-toroidal bulk space of Vafa as a Riemann 3-dimensional surface describing the
VPE-ZPE of the micro quantum of the QBBS.
The Eps-Weyl wormhole of topological closure so is holographically and conformally mapped onto the bulk
space in 12 dimensions as a braned volumar evolving by mirror duality of the 11dimensional closed AdS
membrane space of Witten's M-space as Vafa's F-space and mirroring the hyperbolic topology of 10dimensional C-space as an open dS cosmology in an overall measured and observed Euclidean flatness of
zero curvature.
Wavelength Energy (hc/λ)
(λ=2πl) m* J* & eV*
String Boson
Decoupling Time
s*
0. Genesis-Boson
Algorithmic
TIME=1/FREQUEN LIGHTPATH ENERGY=
5.326x1039
CY
c.TIME
hRmax/λps
-40
= λps/RH = λpsHo/c 1.877x10
=k.TEMPERATUR
= nps = Hotps
E
6.2591x10-49
=h.FREQUENCY
=h/TIME=MASS.
c2
1.065 PJ* or
6.629x1033 eV*
1. Planck Length Bounce
tOPL=2πrOPL/c
√αLplanckc2=e↔e*=2Rec2=1/ 3.739x10-44
Eps
2. Planck-Boson
I/SEWG⇒sEwG
tP=2πrP/c
4.377x10-43
Modular
Temp K*
Wavelengt
h m*
Significanc
e
TEMPERATUR Algorithmic
E
Definiton
= hRmax/kλps
7.54481x1037
1.122x10-35 17.830 GJ* or
1.110x1029 eV*
8.913x1034 1.263x1033
Quantum
Fluctuation
of Creation
LP=2πrP
1.523 GJ* or
1.313x10-34 9.482x1027 eV*
7.617x1033 1.079x1032
Outside
Hubble
Horizon
Limit in
Protoverse
235
3. Monopole-Boson
IIB/sEwG⇒SEWg
GI-GUT
decoupling
max = 30 [ec]
min = 1 [ec]
tM=2πrM/c
5.124x10-42
[max] to [min]
tM=2πrM/c
1.537x10-40
1.537x10-33
[max] to
[min]
4.611x10-32
4. XLBoson
HO32/SEW.G
tXL=2πrXL/c
2.202x10-39
5. Ecosmic-Boson
IIA/SeW.G SNI
decoupling
6. False Higgs Vacuum
(min to max)
9.216x1030
[max] to
[min]
3.072x1029
Outside
Hubble
Horizon
Limit in
Protoverse
6.605x10-31 302.817 kJ* or
1.885x1024 eV*
1.514x1030 2.145x1028
Outside
Hubble
Horizon
Limit in
Protoverse
tEC=2πrEC/c
6.618x10-34
1.986x10-25 1.0073 J* or
6.270x1018 eV*
5.035x1024 7.135x1022
Galactic
Supercluste
r
Sarkar
Scale
Mo=RSarkar
c2/2Go
tHmin=GoMo/c3nps
1.402x10-24
[min] to
[max]
8.541x10-24
1.171x1023
[min] to
[max]
7.133x1023
Galactic
Supercluste
r
Scale
-33
4.672x10
[min] to [max]
tHmax=√αtps
2.847x10-32
13.011 MJ* or
8.100x1026 eV*
[max] to [min]
4.337 MJ* or
2.700x1025 eV*
0.143 J* or
8.883x1017 eV*
[min] to [max]
0.023 J* or
1.458x1017 eV*
6.506x1032
[max] to
[min]
2.169x1031
{7.206x1037
[min] to
[max]
1.857x1037
Algorithmic from
Genesis Boson}
7. Weyl-Boson
HE64/S.EW.G
Big Bang
Instanton EMI
decoupling
tps=2πrps/c
3.333x10-31
1.000x10-22 0.002 J* or
1.245x1016 eV*
8. T(n)=Tps
Bosonic Condensate
Unification
tBU=nBU/Ho
1.897x10-9
ctBU/(1+HotB
U)
0.5691
Protoverse
Inflaton min
to
Instanton to
Inflaton max
10-22
236
1.000x1022 {Temperature
Gradient
Tps/T(nps)
Genesis
Boson
T(nps) =
2.935x1036}
Bosonic Plasma 1.757
Protoverse
h/tBU
-25
3.514x10 J* or 1022
2.188x10-6 eV*
0.002 J* or
12.45 PeV*
Galactic
Halo
(Group)
Scale
Unitary
Modular
Geometric
TBU = Tps
= 1.417x1020 Mean
18.2[n+1]2/n3 Scale
n=HotBU
9. Electroweak WNI
decoupling
tEW=nEW/Ho
0.00714~1/140
8.543x10-18 2.341x10-8 J* or 1.171x1017 1.658x1015
145.70 GeV*
Higgs
Boson
RMP
DM scale
10. Higgs Chi-Boson/
Super Diquark
Sbar=ss
Quark-Lepton scale
Vacuum Expectation
tQL=nQL/Ho
0.00274~1/365
2.227x10-17 4.799x10-8 J* or 4.490x1016 3.400x1015
Quantum
298.785 GeV*
Scale
Outer
Leptonic
Inner
Mesonic
Kernel
Quantum
scale
237
Quantum Gravitation Unification in a Coupling of the Supermembranes in Self dual
Monopole Class IIB
SEWG --- SEWg as string transformation from Planck brane to (Grand Unification/GUT) monopole brane.
The X-Boson is modular dual to the L-Boson in the string class transformation from the Planck brane to the
monopole brane to the X/L-brane to the Cosmic String brane to the Weyl brane.
For the X-Boson, the coupling can be written as: #.(mps/mPlanck)f(G) and for the L-Boson it is written as:
#54.(mPlanck/mps)f(S) to indicate the inherent modular duality.
As alpha=#3 specifies the emmr-matter-emr interaction probability; EMI/SNI=#3/#=#2 breaks the unified
symmetry via the WNI and defines #f(G) as a unitary mass.
A 'mixing angle' θps is defined via constant X ⇒ {ℵ}3 ⇒ alpha α as X = ϖ(n). sin θps for a unitary force action
ϖ(n) acting on the inflaton acceleration cfps coupled to the inflaton source hyper-acceleration of the de
Broglie matter wave for phase speed RHfps in RHfps2=1.43790791x1087 (m/s2)* in the displacement light path
for the nodal Hubble constant Ho = dn/dt = c/RH defining the frequency ratio nps = λps/RH = 2πrps/RH =fps/Ho as
the linearization of the wormhole from its closed Planck brane form as string class I into its transformation
as open string class HE(8x8) then manifesting as the Compton-de Broglie wavelengths in the emr-matteremmr interactions. The inflaton angle θps so is maximized at 90° at X = ϖ(n). sin θps for θps = 38.17270761°
for a unitary force ϖ(n)=1 and for the X/L bosonic coupling for a GUT scale characterizing SEW.G for the
decoupling of the gravitational interaction from the unified energy field described by the Standard Model.
Now the Planck string for a Planck time of tP=2πrP/c = 4.377x10-43 is connected to the X/L string via the
monopole string at the unified SEWG level in the self-duality of the GUT-monopole at [ec.c2]uimd = 2.7x1016
GeV* and at a brane inflaton time of tM=2πrM/c=1.537x10-40 s* and for which SEWG transformed into sEwG
to indicate the unified nature between the long-range EMI and GI in a coupling of the electromagnetic and
gravitational fine structures here termed alpha and g-alpha respectively.
The X/L boson time is tXL=2πrXL/c=2.202x10-39 s* and string class HO(32) decouples gravity in replacing
f(G)/mPlanck by the monopole mass #2/[ec]uimd modular dual to f(S)mPlanck to account for the SNI/EMI breaking
of the native supersymmetry SEWG and to transform the Planck brane energy scale into the X/L brane
energy scale.
mXB = alpha.mps/[ec]uimd = #3.mps/[ec]uimd = 3.364554269x10-12 kg* = 1.884955575x1015 GeV* unifying SEW
in the monopolar electron boson energy m ec|max = αmps mLB = alpha18.[ec]uimd/#2.mps =#52.[ec]uimd/#2.mps
= 1.982105788x10-28 kg* = 111.0453587 MeV* unifying EWG at the bosonic muon energy
The X-Boson mass and the L-Boson mass then transform into the string class IIA, as the coupling from the
self-dual monopole class, here termed the ECosmic Boson to indicate its native characterization as
primordial cosmic string ancestor for a spectrum of cosmic rays, tabulated following this discussion.
The ECosmic Boson manifests at an inflaton time of tEC=2πrEC/c = 6.717x10-34 s* at an energy of 0.9927 J* or
6.180x109 eV* and as a consequence of the universal wavefunction B(n) = {2e/hA}.exp{-Alpha.T(n)} and
where T(n)=n(n+1) defines X and Y in the Euler identity for T(n)=1.
238
The electromagnetic interaction, which was emphasized in the decoupling of the gravitational interaction in
the sEwG to form the X/L-Boson in SEW.G now becomes suppressed in SeW.G in the B(n) for
n=nps=6.259093473x10-49 ⇒0 and T(0)=0 for B(nps)=2e/hA= 0.992729794...in units of inverse energy that is as
units of the magneto charge under modular string duality.
The constant A=4.854663436x1014 Ampere* can be defined as a cosmic string magneto current, derived
from algorithmic encodings underpinning the numerical values for the fundamental constants of nature.
The ECosmic boson then triggers a 'false vacuum' in a brane time interval from
tdBmin=GoMo/c3nps = 4.672x10-33 [min] to [max] tdBmax=√αtps = 2.847... x10-32 defined in a non-kinematic
temperature gradient of the cosmogenesis and related to the hyper acceleration gradient between the de
Broglie inflaton wave phase speed adB = RHfps2 and the boundary cosmological (dark energy) constant
ΛEinstein(nps) = GoMo/λps2 with 2.ΛEinstein(nps)/adB = Mo/MH=0.02803.. descriptive for the baryonic matter content
at the instanton as a proportional coupling between the 'mother black hole' defined in the Schwarzschild
metric with an event horizon the size of the Hubble radius RH = 2GoMH/c2.
It can be said that the universal wave function B(n) remains 'frozen' within this encompassing inflaton event
horizon about the FRB (Functional Riemann Bound) at the x=-½ coordinate and between a cosmic
uncertainty interval {X: -1,0} defining the Witten-M-space in this presentation; until it is observed and/or
defined in accordance with the premises of quantum mechanics applied to the universe in total.
The 'unfreezing' of B(n) requires the linearization of the quantum geometric circularity of the Compton
wavelength into its particularized quantum radius.
Quark-Lepton Unification in XL-Boson Class HO(32)
SEWg --- SEW.G
Following the creation of the 'false Higgs vacuum' as a potential spacetime quantum and as a prototypical
holofractal of the brane volumar; the Planck string and now as an ECosmic string of increased spacial extent
and of lower energy transforms into the Weyl-Eps Boson of the quantum big bang event as the instanton.
This results in an integration or summation of Eps-quanta evolving at the speed of light from the original
Weylian wormhole as the 'creation singularity'.
This 'filling' of the inflaton M-space with lower dimensional instanton C-space represents however an
attempt by the wormhole summation, which is expanding originally at the speed of light to become retarded
by a force opposing the linear expansion and so decurving of the original wormhole definition.
This effect of anti-curvature or the attempt to recircularized the linearization of the lower dimensional
expanded membrane space by its higher dimensional contracting (or collapsing) membrane space is known
as gravity in the macrocosmic cosmology of General Relativity but represents the integrated effect of
quantum gravity as a summation of spacetime quanta as wormhole volumars inhabiting expanding space as
boundary and initial condition for contracting spacetime.
The expanding qbb or the integration and multiplication of wormhole quanta now enables the X/L bosons to
transform into a quark-lepton hierarchy at instanton time tps=fss=1/fps=3. 333.x10-31 s*.
239
The Higgs vacuum is now rendered as physical in spacetime occupancy, and the relative sizes of elementary
particles is defined in the diameter of the electron and its parameters of energy and momentum. In
particular e*=2Rec2=1/Eps restrict the extent of the Compton constant in the mass and size of the electron
and quantizing the quantization of monopolar energy in the volumar equivalent of the inversed source
energy quantum of the Weyl-Eps Boson conformally transformed from the Planck scale onto the Weyl
wormhole scale in the superstring transformations.
Magnetopolar charge e* as inversed energy quantum in its higher dimensional form assumes the
characteristic of a region of space acted upon by the time rate change of frequency or df/dt. As said, this
allows a definition of physical consciousness as the action of a quasi-angular acceleration as df/dt onto the
dynamics of anything occupying any space, if this space represents a summation of E ps- gauge photon
quanta. The concept of physical consciousness so finds it resolution in the quantum geometry of super brane
volumars.
The Higgs field of physical consciousness so applies action on spatially occupied dynamics, such as
elementary particles or collections and conglomerations of particles, irrespective of particles exhibiting
inertial mass or gravitational mass because of the photonic energy equivalence to mass in E=hf=mc2.
The X-Boson of energy 1.885x1015 GeV* so transforms into a K-Boson of energy given by transformed Planck
boson into the K-Boson with mc=mPlanck.Alpha9=keeα8.5 = (e/Go)α8.5 =9.924724514x10-28 kg or 556.0220853...
MeV* under Planck-Stoney unification for electric charge and mass.
The primordial K-Boson so becomes the ancestor for all nucleons and hyperons as a base kernel energy as a
function of cycle time n in m(n)=mcYn.
For an invariance of the Gravitational parameter GM=G oXn.MYn= constant, a mass evolution in the constancy
of XY = X+Y = eiπ = i2 = -1 n can be applied to 'evolve' the mass of the K-Boson as a function of cycle time n
from its initial self-state nps=Ho/fps=λps/RH and to relate the history in time to a history of space in a timeless
cosmogenesis.
The upper bound for the kernel mass so becomes mcYnpresent =1.71175285x10-27 kg* or 958.9912423... MeV*
for npresent set at 1.132712...
The K-Boson then assumes the form of a trisected subatomic core in distributing the K-superstring energy in
three quantum geometric parts or sectors depictable in three 120-degree regions of a gluon field for the 8
gluon permutations between the SU(3) self-states:
E=mc2: {BBB; BBW; WBB; BWB; WBW; BWW; WWB; WWW}:E=hf, for the hyperon SU(3) unitary quark or
antiquark distribution and E=mc2:{BB; BW; WB; WW}:E=hf for the mesonic quark-antiquark couplings for
SU(2), with the (W)hite state implying complete emr-emmr dematerialization and the (B)lack state inferring
complete materialization in the chromodynamics of the colour mixing and gluon charge exchanges.
The L-Boson then induces the outer leptonic OR ring structure as the ancestor of the muon fermion and the
inner mesonic ring or IR becomes the oscillatory potential for the OR to reduce in size to approach the kernel
K trisected in the gluon distribution.
240
The precursive X/L-Boson transforming into the quark-lepton hierarchy of fermions, so manifests a native
supersymmetry or supergravity without any necessity for additional particles or string vibrations in
unification physics.
It can then be said that the meeting or intersection of the OR with the Kernel K occurs at the IR in the form
of neutrinos and anti-neutrinos emitted by the kernel as the partners for the OR manifesting as three
leptonic generations in electron, muon and tauon to define the weak interaction bosons in the weakons and
the Z-Boson.
The weakons so display the bosonic nature of the original X/L bosons but allow a partitioning of the boson
integral spin momentum in a sharing between the fermionic kernel and the fermionic outer ring. The
quantum geometry indicated then allows a decomposition of the weakons into leptonic generations and the
Z-Boson to assume the weak interaction energy in the form of massless gluons becoming mass induced by
the quantum geometric template of a scalar Higgs field as Majorana neutrinos.
This can be illustrated in the quantum chromodynamics of the trisection of both kernel and rings as the
mixing of colour charges as indicated.
Subtracting the L-Boson mass from the K-Boson mass then sets energy intervals shown following in the
diquark hierarchies found in the quantum geometry of Quantum Relativity. The energy interval for the KKK
kernel then becomes (282.6487 MeV* - 319.6637 MeV*) and is defined as a Kernel-Ring-Cross-Coupling
constant, where 111.045/3 = 37.015 gives the appropriate energy range for a particular quark energy level
for a ground state GS:
GS = GSn-1 + 2gn -1 + ULMn-2 .{ ⅓e-;⅔e-}
= Iterative Kernel GS + Ring Perturbation
Kernel-Ring Mixing Constant: KX/RL = mcYn/3mLB = 958.991/(3x111.045) = 2.8786858
for npresent =1.1327127…
Nucleonic Upper Limit: mcYnpresent = 1.71175285x10-27 kg* = 958.9912423 MeV*
Unitary Coupling Force: ϖ(npresent)/√{Ynpresent} = #f(G).cfps{alphaE/alpha}
= 2πcGomplanckmpsmemc√(Ynpresent)/eh2 = 1.33606051
alphaE = 2πGomcme/hc for mc√(Yn); as ring masses me,μ,τ are constant in kernel masses
alphaG = 2πGomc2/hc for kernel mass mc as mcYn
241
Graviton-GI mass: #f(G)=alpha.mplanck/[ec]uimd transforms mps from mplanck in mXB
Coupling angle: θps(npresent) = Arcsin(X/ϖ(npresent)) = Arcsin(0.4625…) = 27.553674°
Upper Bound Multiplier = 1/Lower Bound Multiplier
ULM = 1/LBM = 90°/θps(npresent) = 3.26663521
Using those definitions allows construction for the diquark hierarchies following.
Reducing the atomic scaling to its intrinsic superstring dimension shows the Higgs Bosonic Restmass
Induction, corresponding to the Dilaton of M-Theory.
Renormalizing the wavefunction B(n) about the FRB = -½ as maximum ordinate gives a probability y2dV for
y(0) = √(alpha/2π) for the renormalization.
Alpha/2π being the probability of finding the FRB fluctuation for the interval [-X,X-1] in volume element dV
as the uncertainty fluctuation.
This volume element defines the dimensional intersection from C-Space into F-Space via M-Space in the
topological mapping of the complex Riemann C∞-Space about the Riemann pole of the FRB as the Calabi-Yau
superstring apace in 10 dimensions.
242
243
X = ½(√5-1) = 0.618033...... and Y = -(X+1) = -½(√5+1) = -1.618033...
-X(X-1) = 0.236067... in analogue to X(X+1) = 1= T(n) and XY = X+Y = -1 = i2 as the complex origin. But
0.236067...= X3, so defining the 'New Unity' as #3 = Alpha and the precursive unity as the Cube root of Alpha
or as # in the symmetry #:#3 = SNI:EMI = {Strong Nuclear Interaction Strength}/{Electromagnetic Interaction
Strength}.
The Strong-Interaction-Constant SIC = √Alpha = √e2/2εohc = √(60πe2/h) in standard and in string units,
reduces the SNI fine structure constant # by a factor Alpha1/6 ; that is in the sixth root of alpha and so relates
the SIC at the post quantization level as # to the pre-quantum epoch as SIC = √Alpha = #3/2.
The SNI is therefore so 11.7 times weaker at the XL-Boson 'Grand-Unification-Time' SEW.G of heterotic
superstring class HO(32), then at the EpsEss time instantaneity S.EW.G of the superstring of the Quantum Big
Bang in heterotic class HE(8x8) {this is the string class of Visi in the group theories}.
This then is the Bosonic Gauge Heterosis Coupling between superstrings HO(32) and HE(8x8). The coupling
between superstrings IIA (ECosmic and manifesting the cosmic rays as superstring decay products) and IIB
(Magnetic Monopole) derives directly from the B(n), with B(n=0) = Jo = 2e/hA
= 0.9927298 1/J* or 6.2705x109 GeV* and representative of the ECosmic string class and the super high
energy resonances in the cosmic ray spectrum, bounded in the monopolar resonance limit of 2.7x10 16 GeV*.
The Unity of the SNI transforms to [1-X] = X2 and the EMI transforms as the Interaction of Invariance from X
to X.
The Weak Nuclear Interaction or WNI as X2 becomes [1+X] = 1/X and the Gravitational Interaction or GI
transforms as X3 transforms to [2+X] = 1/X2 by modular symmetry between X and Alpha and the
encompassing Unification Unity: [1-X][X][1+X][2+X] = 1.
This Unification Polynomial U(u) = u4+2u3-u2-2u+1 = 0 then has minimum roots (as quartic solutions) at the
Phi = X and the Golden Mean Y = -(1+X).
This sets the coupling between SNI and EMI as X; the coupling between EMI and WNI becomes X2 and the
coupling between WNI and GI then is again X.
The general Force-Interaction-Ratio so is: SNI:EMI:WNI:GI = SEWG = #:#3:#18:#54.
244
Typical decay rates for the nested fundamental interactions then follow the order in the light path
lp = ctk:
tSNI = Re/c = 2.777...x10-15 m*/3x108 m*/s* = 0.925925...10-24 s* ~ (Order 10-23 s*)
tEMI = tSNI/α = 10-23 s*/(7.30x10-3) = 1.37x10-21 s* ~ Order (10-21 s*)
tWNI =tSNI/α6 = 10-23 s*/(1.51x10-13) = 6.62x10-11 s* ~ Order (10-10 s*)
tGI = tSNI/α18 = 10-23 s*/(3.44x10-39) = 2.91x1015 s* ~ Order (1015 s* ~ 92 million years characterizing the
half-lives of trans uranium elements like Plutonium Pu-244 at 79x106 y)
This is the generalization for the cubic transform: x→x3 with the Alpha-Unity squaring in the functionality of
the WNI and defining G-Alpha as Alpha18 in the Planck-Mass transforming in string bosonic reduction to a
fundamental nucleonic mass (proton and neutrons as up-down quark conglomerates and sufficient to
construct a physical universe of measurement and observation):
mc = mplanck Alpha9 from the electromagnetic string unification with gravitation in the two dimensionless fine
structures:
For Gravitational Mass Charge from higher D Magnetic Charge: 1 = 2πGo.mplanck2/hc
For Electromagnetic Coulomb Charge as lower D Electric Charge: Alpha = 2πke 2/hc
Alpha as the universal primary constant of creation, then becomes defined via the Riemann Analysis from XY
= i2 definition, reflecting in modulation in the statistical renormalization of the B(n) as the probability
distributions in quantum wave mechanics, however.
U(u) has its maximum at u = -½ = FRB for U(-½) = 25/16 = (5/4)2 for the B(n) supersymmetry.
A symmetry for B(n) is found for B(n) = i2 = -1.
(u)=0 for an FRB=½ indicating a cosmological relationship to the Riemann hypothesis with respect to the
distribution of prime numbers and Riemann's zeta function.
The derivation of the HBRMI draws upon this definition process and sets the coupling angle as Arcsin(X/ϖ)
for a Unitary 'Force' ϖ =(#fG).cfpsE-Alpha/Alpha and with the electron mass replacing the fundamental
nucleon mass mc in the definition of E-Alpha.
A disassociated GI unifies with the WNI in the L-Boson and is supersymmetric to an intrinsic unification
between the SNI and the EMI as the X-Boson for the duality fGfS = 1 in modular definition of a characteristic
GI-mass #fG as the disassociated elementary gauge field interaction.
The transformation of the 5 superstring classes proceeds in utilizing the self-duality of superstring IIB as the
first energy transformation of the Inflaton in the Planck string class I trans mutating into the monopole string
class IIB.
245
Wikipedia reference:
F-theory is a branch of string theory developed by Cumrun Vafa.[1] The new vacua described by Ftheory were discovered by Vafa and allowed string theorists to construct new realistic vacua — in
the form of F-theory compactified on elliptically fibered Calabi–Yau four-folds. The letter "F"
supposedly stands for "Father".[2]
F-theory is formally a 12-dimensional theory, but the only way to obtain an acceptable background is
to compactify this theory on a two-torus. By doing so, one obtains type IIB superstring theory in 10
dimensions. The SL(2,Z) S-duality symmetry of the resulting type IIB string theory is manifest because
it arises as the group of large diffeomorphisms of the two-dimensional torus
The transformation of the 5 superstring classes proceeds in utilizing the self-duality of superstring IIB as the
first energy transformation of the Inflaton in the Planck string class I trans mutating into the monopole string
class IIB and residing in the 2-toroidal bulk space of Vafa as our Riemann 3-dimensional surface describing
the VPE-ZPE of the micro quantum of the qbb.
The Eps-Weyl wormhole of topological closure so is holographically and conformally mapped onto the bulk
space in 12 dimensions as a braned volumar evolving by mirror duality of the 11dimensional closed AdS
membrane space of Witten's M-space as Vafa's F-space and mirroring the hyperbolic topology of 10dimensional C-space as an open dS cosmology in an overall measured and observed Euclidean flatness of
zero curvature.
Vafa's F-space so can be named the omniverse hosting multiple universes which are nested in parallel time
space and defined initial and boundary conditions valid and applicable for all universes as a multiversal
parameter space.
The quantization of mass m so indicates the coupling of the Planck Law in the frequency parameter to the
Einstein law in the mass parameter.
The postulated basis of M-Theory utilizes the coupling of two energy-momentum eigenstates in the form of
the modular duality between so termed 'vibratory' (high energy and short wavelengths) and 'winding' (low
energy and long wavelengths) self-states.
The 'vibratory' self-state is denoted in: Eps=Eprimary sourcesink = hfps = mpsc2 and the 'winding' and coupled selfstate is denoted by: Ess = Esecondary sinksource = hfss = mssc2.
The F-Space Unitary symmetry condition becomes: fpsfss = rpsrss = (λps/2π)(2πλss) = 1
The coupling constants between the two eigenstates are so:
EpsEss = h2 and Eps/Ess = fps2 = 1/fss2 The Supermembrane EpsEss then denotes the coupled superstrings in their
'vibratory' high energy and 'winded' low energy self-state within an encompassing super eigen state of
quantum entanglement.
The coupling constant for the vibratory high energy describes a maximized frequency differential over time
in df/dt|max = fps2 and the coupling constant for the winded low energy describes its minimized reciprocal in
df/dt|min = fss2.
F-Theory also crystallizes the following string formulations from the E psEss super brane parameters.
246
Electromagnetic Fine structure: (Planck-Stoney QR units*)…………………..…..….[Eq.XII-1]
αe = 2πkee2/hc = e2/2ε0hc = μoe2c/2h = 60πe2/h…………………………….…………...…[Eq.XII-2]
Gravitational Fine structure (Electron): αg = 2πGome2/hc = {me/mplanck}2………..[Eq.XII-3]
Gravitational Fine structure (Primordial Nucleon): α n = 2πGomc2/hc………….….[Eq.XII-4]
Gravitational Fine structure (Planck Boson): α Planck = 2πGomplanck2/hc……….……[Eq.XII-5]
1/Eps = e* = 2Rec2 = √{4αhce2/2πGome2} = 2e√α[mP/me] = 2e√{αe/αg} = {2e2/me} √(ke/Go) = 2e2/Gome
= e2/2πεome for Go = 1/ke = 4πεo
for a cosmological unification of fine structures in unitary coupling
E*.e*=1 in [Nm2/kg2]=[m3s-2/kg]=1/[Nm2/C2]=[C2m-3s2/kg] for [C2]=[m6/s4]
and [C]=[m3/s2]. Eps = 1/Ess = 1/e* = √{αg/αe}/2e = Gome/2e2
Here e* is defined as the inverse of the sourcesink vibratory superstring energy quantum E ps = E* and
becomes a New Physical Measurement Unit is the Star Coulomb (C*) and as the physical measurement unit
for 'Physical Consciousness'.
Re is the 'classical electron radius' coupling the 'point electron' of Quantum- Electro-Dynamics (QED) to
Quantum Field Theory (QFT) and given in the electric potential energy of Coulomb's Law in:
mec2 = kee2/Re; and for the electronic monopolar rest mass me.
Alpha α is the electromagnetic fine structure coupling constant α = 2πk ee2/hc for the electric charge
quantum e, Planck's constant h and lightspeed constant c.
Go is the Newtonian gravitational constant as applicable in the Planck-Mass
mP = √(hc/2πGo) and the invariance of the gravitational parameter G(n)M(n)=G oXn.mcYn.
As the Star Coulomb unit describes the inverse sourcesink string energy as an elementary energy
transformation from the string parametrization into the realm of classical QFT and QED, this transformation
allows the reassignment of the Star Coulomb (C*) as the measurement of physical space itself.
The following derivations lead to a simplified string formalism as boundary- and initial conditions in a de
Sitter cosmology encompassing the classical Minkowskian-Friedmann spacetimes holographically and
fractally in the Schwarzschild metrics.
The magnetic field intensity B is classically described in the Biot-Savart Law:
B =μoqv/4πr2 = μoi/4πr = μoqω/4πr = μoNef/2r
for a charge count q=Ne; angular velocity ω=v/r=2πf; current i = dq/dt and the current element
i.dl = dq.(dl/dt) = vdq.
The Maxwell constant then can be written as an (approximating) fine structure:
μoεo = 1/c2 = (120π/c)(1/120πc) to crystallize 'free space impedance' Z o = √(μo/εo) = 120π ~ 377 Ohm (Ω).
This vacuum resistance Zo so defines a 'Unified Action Law' in a coupling of the electric permittivity
component (εo) of inertial mass and the magnetic permeability component (μo) of gravitational mass in the
Equivalence Principle of General Relativity.
247
A unified self-state of the pre-inertial (string- or brane) cosmology so is obtained from the fine structures for
the electric- and gravitational interactions coupling a so defined electropolar mass to magnetopolar mass,
respectively.
The Planck-Mass is given from Unity 1 = 2πGmP2/hc and the Planck-Charge derives from Alpha=2πkee2/hc
and where ke=1/4πεo in the electromagnetic fine structure describing the probability interaction between
matter and light (as about 1/137).
The important aspect of alpha relates to the inertia coupling of Planck-Charge to Planck-Mass as all inertial
masses are associated with Coulombic charges as inertial electropoles; whilst the stringed form of the
Planck-Mass remains massless as gravitational mass. It is the acceleration of electropoles coupled to inertial
mass, which produces electromagnetic radiation (EMR); whilst the analogy of accelerating magnetopoles
coupled to gravitational mass and emitting electromagnetic monopolar radiation (EMMR) remains hitherto
undefined in the standard models of both cosmology and particle physics.
But the coupling between electropoles and magnetopoles occurs as dimensional intersection, say between a
flat Minkowskian spacetime in 4D and a curved de Sitter spacetime in 5D (and which becomes topologically
extended in 6-dimensional Calabi-Yau tori and 7-dimensional Joyce manifolds in M-Theory).
The formal coupling results in the 'bounce' of the Planck-Length in the pre-Big Bang scenario, and which
manifests in the de Broglie inflaton-instanton.
The Planck-Length LP = √(hG/2πc3) 'oscillates' in its Planck-Energy mP = h/λPc = h/2πcLP to give
√Alpha).LP = e/c2 in the coupling of 'Stoney units' suppressing Planck's constant 'h' to the 'Planck units'
suppressing charge quantum 'e'.
Subsequently, the Planck-Length is 'displaced' in a factor of about 11.7 = 1/√Alpha = √(h/60π)/e and using
the Maxwellian fine structures and the unity condition keGo=1 for a dimensionless string coupling Go = 4πεo,
describing the 'Action Law' for the Vacuum Impedance as Action=Charge2, say via dimensional analysis:
Zo = √([Js2/C2m]/[C2/Jm]) = [Js]/[C2] = [Action/Charge2] in Ohms [Ω = V/I = Js/C2] and proportional to [h/e2] as
the 'higher dimensional source' for the manifesting superconductivity of the lower dimensions in the
Quantum Hall Effect (~e2/h), the conductance quantum (2e2/h) and the Josephson frequencies (~2e/h) in
Ohms [Ω].
This derivation so indicates an electromagnetic cosmology based on string parameters as preceding the
introduction of inertial mass (in the quantum Big Bang) and defines an intrinsic curvature within the higher
dimensional (de Sitter) universe based on gravitational mass equivalents and their superconductive
monopolar current flows.
A massless, but monopolar electromagnetic de Sitter universe would exhibit intrinsic curvature in
gravitational mass equivalence in its property of closure under an encompassing static Schwarzschild metric
and a Gravitational String-Constant Go = 1/ke = 1/30c (as given in the Maxwellian fine structures in the string
space).
248
In other words, the Big Bang manifested inertial parameters and the matter content for a subsequent Cosmo
evolution in the transformation of gravitational 'curvature energy', here called gravita as precursor for
inertia into inertial mass seedlings, both however describable in Black Hole physics and the Schwarzschild
metrics.
The Gravitational Fine structure so derives in replacing the Planck-Mass mP by a proto-nucleonic mass: mc =
√(hc/2πGo).f(alpha) = f(Alpha).mP and where f(Alpha) = Alpha9.
The Gravitational fine structure, here named Omega, is further described in a five folded supersymmetry of
the string hierarchies, the latter as indicated in the following below in excerpt.
This pentagonal supersymmetry can be expressed in a number of ways, say in a one-to-one mapping of the
Alpha fine structure constant as invariant X from the Euler Identity: X+Y = XY = -1 = i2 = exp(iπ).
One can write a Unification Polynomial: (1-X)(X)(1+X)(2+X) = 1 or X4+2X3-X2-2X+1 = 0 to find the coupling
ratios: f(S)¦f(E)¦f(W)¦f(G) = #¦#3¦#18¦#54 from the proportionality
#¦#3¦{[(#3)2]}3¦({[(#3)2]}3)3 = Cube root(Alpha):Alpha:Cuberoot(Omega):Omega.
The Unification polynomial then sets the ratios in the inversion properties under modular duality:
(1)[Strong short]¦(X)[Electromagnetic long]¦(X 2)[Weak short]¦(X3)[Gravitational long] as 1¦X¦X2¦X3
= (1-X)¦(X)¦(1+X)¦(2+X).
Unity 1 maps as (1-X) transforming as f(S) in the equality (1-X) = X2; X maps as invariant of the function f(E) in
the equality (X) = (X); X2 maps as (1+X) transforming as f(W) in the equality (1+X) = 1/X; and X 3 maps as (2+X)
transforming as f(G) in the equality (2+X) = 1/X 2 = 1/(1-X). The mathematical pentagonal supersymmetry
from the above then indicates the physicalised T-duality of M-theory in the principle of mirror-symmetry and
which manifests in the reflection properties of the heterotic string classes HO(32) and HE(64), described
further in the following.
Defining f(S) = # = 1/f(G) and f(E) = #2.f(S) then describes a symmetry breaking between the 'strong S' f(S)
interaction and the 'electromagnetic E' f(E) interaction under the unification couplings.
This couples under modular duality to f(S).f(G) = 1 = #55 in a factor #-53 = f(S)/f(G) = {f(S)}2 of the 'broken'
symmetry between the long range- and the shortrange interactions.
SEWG = 1 = Strong-Electromagnetic-Weak-Gravitational as the unified supersymmetric identity then
decouples in the manifestation of string-classes in the de Broglie 'matter wave' epoch termed inflation and
preceding the Big Bang, the latter manifesting at Weyl-Time as a string transformed Planck-Time as the
heterotic HE(64) class.
As SEWG indicates the Planck-String (class I, which is both open ended and closed), the first transformation
becomes the suppression of the nuclear interactions sEwG and describing the self-dual monopole (string
class IIB, which is loop-closed in Dirichlet brane attachment across dimensions say Kaluza-Klein R5 to
Minkowskian R4 or Membrane-Space R11 to String Space R10).
The monopole class so 'unifies' E with G via the gravitational fine structure assuming not a Weylian fermionic
nucleon, but the bosonic monopole from the kGo = 1 initial-boundary condition
GmM2 = kee2 for mM = kee = 30[ec] = mP√Alpha.
249
The Planck-Monopole coupling so becomes mP/mM = mP/30[ec] = 1/√Alpha with f(S) = f(E)/#2
modulating
f(G) = #2/f(E)=1/# ↔ f(G){f(S)/f(G)} = # in the symmetry breaking f(S)/f(G) = 1/# 53 between short
(nuclear asymptotic) and long (inverse square).
The short-range coupling becomes f(S)/f(W) = #/#18 = 1/#17 = Cube root(Alpha)/Alpha6 and the long-range
coupling is Alpha/Omega = 1/Alpha17 = #3/#54 = 1/#51 = 1/(#17)3.
The strong nuclear interaction coupling parameter so becomes about 0.2 as the cube root of alpha and as
measured in the standard model of particle physics in the form of an energy dependent 'running coupling
constant' and which takes a value of α Z = 0.1184 at the energy level of the Zo weakon at about 92 GeV.
The monopole quasi-mass [ec] describes a monopolar source current ef from the unification identity 1/e*f ps
= h = E*/fps as a fine structure for Planck's constant h, manifesting for a displacement λ=c/f. This is of course
the GUT unification energy of the Dirac Monopole at precisely [c3] eV or 2.7x1016 GeV and the upper limit for
the Cosmic Ray spectra as the physical manifestation for the string classes: {I, IIB, HO(32), IIA and HE(64) in
order of modular duality transmutation}.
The transformation of the Monopole string into the XL-Boson string decouples Gravity from sEwG in sEw.G
in the heterotic superstring class HO(32). As this heterotic class is modular dual to the other heterotic class,
HE(64), it is here, that the proto nucleon mass is defined in the modular duality of the heterosis in: Omega =
Alpha18 = 2πGomc2/hc = (mc/mP)2.
The HO(32) string bifurcates into a quarkian X-part and a leptonic L-part, so rendering the bosonic scalar spin
as fermionic half spin in the continuation of the 'breaking' of the supersymmetry of the Planckian unification.
Its heterosis with the Weyl-string then decouples the strong interaction at Weyl-Time for a Weyl-Mass mW,
meaning at the time instanton of the end of inflation or the Big Bang in sEw.G becoming s.Ew.G.
The X-Boson then transforms into a fermionic proto nucleon triquark-component (of energy ~ 10-27 kg or
560 MeV) and the L-Boson transforms into the proto-muon (of energy about 111 MeV).
The electroweak decoupling then occurs from a time marker about 1/140 th of a second from the QBBS at a
temperature of 1.658x1015 K* for a Fermi-Expectation Energy about 1/365 seconds after the Big Bang at a
temperature of about 3.4x1015 K and at a 'Higgs Boson' energy of about 298 GeV.
A Bosonic decoupling preceded the electroweak decoupling about 2 nanoseconds into the cosmogenesis at
the Weyl-temperature of so TWeyl = Tmax = EWeyl/kB = 1.4x1020 K as the maximum Black Hole temperature
maximized in the Hawking MT modulus and the Hawking-Gibbons formulation:
McriticalTmin = ½MPlanckTPlanck = (hc/2πGo)(c2/2kB) = hc3/4πkBGo for Tmin = 1.4x10-29 K and Boltzmann constant
kB.
The Hawking Radiation formula results in the scaling of the Hawking MT modulus by the factor of the
'Unified Field' spanning a displacement scale of 8π radians or 1440° in the displacement of 4λ ps.
The XL-Boson mass is given in the quark-component: mX = #3mWeyl/[ec]|mod = 1.9x1015 GeV modulated in
(SNI/EMI=∛{Alpha}/[Alpha]), the intrinsic unified Strong-Electroweak Interaction-Strength for the Kernel part
in the Quark-Lepton hierarchy.
250
The LX-Boson mass is given in the lepton-component: mL = Omega.[ec]/#2 = ([Omega]x([ec])/(mps.∛(α2)
= #52[ec/mWeyl] ~ 111 MeV in functional operators f(G)xf(S) = 1 for the Ring part in the Quark-Lepton
hierarchy.
In particular f(G)/mplanck ↔ #2/[ec] for #(mps/mplanck)f(G) and the X-Boson and f(S).mplanck ↔ [ec]/#2 for
#54[(mplanck/mps)f(S) for the L-Boson.
The X-Boson's mass is: ([Alpha α]xmps/[ec]) modulated in (SNI/EMI=∛{Alpha}/[Alpha]), the intrinsic unified
Strong-Electroweak Interaction-Strength and the L-Boson's mass in: ([Omega]x([ec])/(mps.∛(α2).
When the heavy electron known as the muon was accidentally discovered in the late 1930s, Nobel physicist
Isidor Isaac Rabi famously remarked, "Who ordered that?"
It is this lepton component which necessitates the existence of the muon (and the tauon and their neutrino
partners as constituents of the weak interaction gauge bosons) as a 'heavy electron', as the quantum
geometry defines the muon mass in a decoupling of the L1 energy level given in a diquark hierarchy and
based on a quantum geometry of the quantum relativity:
Ten DIQUARK quark-mass-levels crystallize, including a VPE-level for the K-IR transition and a VPE-level for
the IR-OR transition:
The K-Means define individual materializing families of elementary particles:
a (UP/DOWN-Mean) sets the (PION-FAMILY: πo, π+, π-).
a (STRANGE-Mean) specifies the (KAON-FAMILY: Ko, K+, K-).
a (CHARM-Mean) defines the (J/PSI=J/Ψ-Charmonium-FAMILY).
a (BEAUTY-Mean) sets the (UPSILON=Υ-Bottonium-FAMILY).
a (MAGIC-Mean) specifies the (EPSILON=Ε-FAMILY).
a (DAINTY-Mean) bases the (OMICRON-Ο-FAMILY).
a (TRUTH-Mean) sets the (KOPPA=Κ-Topomium-FAMILY) and
a (SUPER-Mean) defines the final quark state in the (HIGGS/CHI=H/Χ-FAMILY).
251
Quark Level
Kernel-Energy
in MeV
K-Mean(x½)
in MeV*
Ring-Energy in
MeV*
IR-OR Mean in
MeV*
Ground state
K-Mean-IR-OR-Mean
Comments
VPE-Level [K-IR]
26.492429.9618
86.533497.8657
gL2 = 4.11355
2.8175-3.1865
12.6126
K-IR VPE
gL1 = 46.100
9.2030-10.408
L2 = 1.5010
= mu
L1 = 4.9028= md
GS2=GSVPE=41.198
ms=2gL1+L1+L2
=gL1+gL2+2Lu,d+L1+L2
=98.645; 98.604
s==gL2 - gL1 +
2Lu,d
IR-OR VPE
Ground-OR
electron level
Quark UP/DOWN-Level
u=K; d=K+IR
ubar=Kbar;
dbar=Kbar+IRbar
282.6487319.6637
gu,d =
150.5781
30.060-33.997
Lu,d = 16.014
GS3=GSu,d=134.5641
Pionium
K-KIR basis
Quark STRANGE-Level
s=K+OR
sbar=Kbar+ORbar
923.23021,044.13
gs = 491.8401
98.187-111.045
muon energy
Ls = 52.308
L2+L1+2Lu,d+Ls =
90.740+
=ms+{L2±L1}
92.241-97.144
GS4=GSs=439.5321
Kaonium
KIR-KOR basis
1st (K)-ORMuon level
d↔s KIR↔KOR
Resonance
Diquark CHARM-Level
c=U.ubar=uu.ubar
cbar=Ubar.u=(uu)bar.u
3,015.593,410.51
gcU = 1,606.53
gcU-LcU-gu,d
= mcU*
= 1,285.09
320.71-362.71
LcU = 170.86
GS5=GScU=1,435.67
Charmonium Pole
mass
=GScU+0.LcU=1,435.67
Active singlet
apparent
Diquark BEAUTY-Level
BOTTOM-Level
b=(ud)bar=(ud).ubar
bbar=(ud)=(ud)bar.u
9,849.9911,139.93
gb = 5,247.48
gb-Lb-gs = mb*
= 4,197.56
1,047.6-1,184.7
Lb = 558.08
GS6=GSb=4,689.40
Bottonium Pole mass
=GSb+0.Lb+½(gL1+gL2)
=4,719.51
Active doublet
apparent
Diquark MAGIC-Level
M=(us)bar=(us).ubar
Mbar=(us)=(us)bar.u
32,173.636,386.9
gM = 7,140.13
3,421.7-3,869.8
LM = 1,822.88
max Tauon
energy
GS7=GSM=15,317.25
Magiconium Pole mass
=GSM+½LM+½(gL1+gL2)+
½(L1+L2) = 16,262.00
Suppressed
doublet-1 in 2nd
K-OR-Tauon level
M=us and
M.Mbar=VPE
in b.bbar
resonance
Diquark DAINTY-Level
D=(dd)bar=(ud).dbar
Dbar=(dd)=(ud)bar.d
105,090118,852
gD = 55,985.5
11,177-12,640
LD = 5,954.25
GS8=GSD=50,031.25
Daintonium Pole mass
=GSD+0.LD+(gL1+gL2)
= 50,091.46
Suppressed
triplet 1
in D=dd and
D.Dbar=VPE
in no IROR
oscillation
Diquark TRUTH-Level
TOP-Level
t=(ds)bar=(ud).sbar
tbar=(ds)=(ud)bar.s
343,261388,214
gt = 182,869
gt-Lt+gs = mt*
= 163,912.6
36,506-41,287
Lt = 19,448.25
GS9=GSt=163,420.75
Toponium Pole mass
=GSt+½.Lt+(gL1+gL2)+
½(L1+L2)=173,208.3
Active triplet
apparent
Diquark SUPER-Level
S=(ss)bar
=(us)sbar
Sbar=(ss)=(us)bar.s
1,120,5921,268,044
gS = 97,159.0
119,243-134,858
LS = 63,525.27
GS10=GSS=533,633.73
Superonium Pole mass
=GSS+LS+(gL1+gL2)+
(L1+L2)=597,225.6
suppressed triplet
2
in S=ss and
S.Sbar=VPE
in no ORIR
oscillation
VPE-Level [IR-OR]
252
Quark-Gluon Quantum Geometry in the uds-quark content
253
particle most
symmetric
quantum
geometry
basic.symbol.energy
partitioning
for groundstates gk (+Δ)
energy values
energy *
MeV*
energy SI particle name
MeV
p+
u.d.u=KKIRK
mK+[L2}-[e-]-⅓[e-]
939.776+1.50130.5205-0.1735
940.5833
938.270
charged proton
no
d.u.d=KIRKKIR
mK+2[L2]-2[e-]+⅓[e-]- Δs
939.776+3.00261.0410+0.1735-0.041
941.8701
939.554
neutral neutron
μ±
OR* in 1st OR
oscillation
mL - L 1 - Δ
n[Ls : 98.19-111.05]
111.04536-(4.9028+Δ)
106.143-Δ
105.6584 charged muon
τ±
OR** in 2nd
OR oscillation
LM - mL+ 2gs + Ls + Lud + Δ
1822.881781.13+Δ
111.05+0.9837+52.31+16.01+Δ
=1712.81+68.32+Δ
πo
u.ubar; d.dbar
mgu,d-Lu,d+e-+⅓e-+ Δ
150.5781-16.014+0.6940+Δ
π±
u.dbar; ubar.d
mgu,d - Lu,d + L1 + e- + Δ
πo + L1 - ⅓e- + Δ
150.5781-16.014+4.9028+~e-Δ 139.987+Δ
135.258+4.9028-0.1735+Δ
139.987+Δ
λo
d.u.s
mno+ mπo + gL2 - L1 + Δ
941.911+135.26+
46.100-4.903+Δ
135.258+Δ
1118.37+Δ
1776.86
charged tauon
134.9776 neutral pion
ground
state
139.5702 charged pion
1115.683 neutral lambda
The VPE-Means are indicators for average effective quark masses found interactions.
Kernel-K-mixing of the wavefunctions gives K(+) = 60.214 MeV* and K(-) = 31.986 MeV* and the IROR-RingMixing gives (L(+) = 6.404 MeV* and
L(-) = 3.402 MeV*) for a (L-K-Mean of 1.5010 MeV*) and a (L-IROR-Mean of 4.9028 MeV*); the Electropole
([e-] = 0.52049 MeV* and 3x(0.17350 MeV* for e±/3) as the effective electron mass and as determined from
the electronic radius and the magneto charge in the UFoQR.
The rest masses for the elementary particles can now be constructed, using the basic nucleonic Restmass
(mc=9.9247245x10-28 kg*=(√(OmegaxmP) for np as 1.71175286x10-27 kg* or 958.99 MeV* and setting as the
basic maximum
(UP/DOWN-K-mass=mass(KERNEL CORE)=3xmass(KKK)=3x319.6637 MeV*=958.991 MeV*).
Subtracting the (Ring VPE 3xL(+) =19.215 MeV*, one gets the basic nucleonic K-state for the atomic nucleus
(made from protons and neutrons) in: {m(n0;p+) = 939.776 MeV*}.
A best approximation for Newton's Gravitational constant 'Big G' hence depends on an accurate
determination for the neutron's inertial mass, only fixed as the base nucleon minimum mass at the birth of
the universe. A fluctuating Neutron mass would also result in deviations in 'G' independent upon the
sensitivity of the measuring equipment. The inducted mass difference in the protonic-and neutronic rest
masses, derives from the Higgs-Restmass-Scale and can be stated in a first approximation as the ground
state.
A basic nucleon rest mass is mc=√Omega.mP = 9.9247245x10-28 kg* or 958.99 MeV*. (Here Omega is a gauge
string factor coupling in the fundamental force interactions as:
Cube root(Alpha):Alpha:Cuberoot(Omega):Omega and for Omega = G-alpha.)
254
KKK-Kernel mass = Up/Down-HiggsLevel=3x319.66 MeV*= 958.99 MeV*, using the Kernel-Ring and FamilyCoupling Constants.
Subtracting the Ring-VPE (3L) gives the basic nucleonic K-State as 939.776 MeV*. This excludes the electronic
perturbation of the IR-OR oscillation.
For the Proton, one adds one (K-IR-Transition energy) and subtracts the electron-mass for the dquark level
and for the Neutron one doubles this to reflect the up-down-quark differential.
An electron perturbation subtracts one 2-2/3=4/3 electron energy as the difference between 2 leptonic rings
from the proton's 2 up-quarks and 2-1/3=5/3 electron energy from the neutron' singular up-quark to relate
the trisected nucleonic quark geometric template. The neutron’s down-strange oscillation, enabling its beta
decay into a left-handed proton, a left-handed electron and a right-handed antineutrino subtracts
s = gL2 - gL1 + 2Lu,d = 0.041 MeV* as a d* = s quark differential.
Proton mp=u.d.u=K.KIR.K=(939.776+1.5013-0.5205-0.1735) MeV* = 940.5833 MeV* (938.270 MeV) Neutron
mn=d.u.d=KIR.K.KIR=(939.776+3.0026-1.0410+0.1735-0.041) MeV*=941.87 MeV*(939 MeV).
This is the ground state from the Higgs-Restmass-Induction-Mechanism and reflects the quarkian geometry
as being responsible for the inertial mass differential between the two elementary nucleons. All ground
state elementary particle masses are computed from the Higgs-Scale and then become subject to various
fine structures. Overall, the measured gravitational constant 'G' can be said to be decreasing over time.
The Higgs Boson HB is said of having been measured in the decay of W's, Z’s, and Tau Leptons, as well as the
bottom- and top-quark systems described in the table and the text addressing K-KIR-KOR transitions. The K
means core for kernel and the IR means Inner Ring and the OR mean Outer Ring. The Rings are derivatives
from the L-Boson of the HO(32 string class) and the Kernels are the products of the decay of the X-Boson
from the same brane source. So, the Tau-decay relates to 'Rings' which are charmed and strange and
bottomized and topped, say. They are higher energy manifestations of the basic nucleons of the proton and
the neutrons and basic mesons and hyperons.
The energy resonances of the Z-boson (uncharged) represent an 'average' or statistical mean value of the
'Top-Quark' and the Upper-Limit for the Higgs Boson is a similar 'Super-Quark' 'average' and as the weak
interaction unification energy.
A postulated energy for the Higgs Boson of so 110 GeV is the Omicron-resonance, is inferred from the table
above. The most fundamental way to generate the Higgs Boson as a 'weak interaction' gauge is through the
coupling of two equal mass, but oppositely charged W-bosons (of whom the Zo is the uncharged
counterpart).
The W-mass is a summation of all the other quark-masses as kernel-means from the strangeness upwards to
the truth-quark level.
Then doubling the 80.622 GeV* and 80.424 GeV mass of the weak-interaction gauge boson must represent
the basic form of the Higgs Boson and that is 161.244 GeV* or 160.847 GeV as a function of the electro-weak
coupling and related as a 'charged current' weak interaction to a 'neutral current' interaction mediated by
the Zo boson of energy about 91 GeV* to sum for a 'Vacuum Expectation Value' of about 252 GeV*.
255
Higgs Boson Weakon WNI-Mass MHBWZ = {W- + W+ + Zo} GeV* = {80.622 + 80.622 + 91.435} GeV* = 252.68
GeV*
{(14.11355+46.100)+(1.5010+4.9028)+(150.571+491.8401+1,606.53+5,247.48+17,140.13+55,985.5)+(182,86
9)+(597.159.0)}
= {60.2136}+{6.404}+{80,622.05}+{182,869}+{597,159} = {66.6618}+{80,622.05}+{2x91,434.5}+{2x298,580} =
860,716.7 MeV*
Kernel-Inner Ring VPE = 0.04611 GeV*
Kernel-Outer Ring VPE = 0.01411 GeV*
Pion-(KIR-Quark d)-VPE = 0.1501 GeV*
Kaon-(KOR-Quark s=d*)-VPE = 0.4918 GeV*
Charm-(Diquark U=uu)-VPE = 1.60653 GeV*
Bottom-(Diquark b=ud)-VPE = 5.24748 GeV*
Magic-(Diquark m=us)-VPE = 17,140.13 GeV*
Dainty-(Diquark D=dd)-VPE = 55,985.5 GeV*
Top-(Diquark t=ds)-VPE = 182,869 GeV*
Super-(Diquark S=ss)-VPE = 597,159 GeV*
Diquark Structure qq
Kernel-Outer Ring VPE1
K↔IR↔OR
KIR=d
Kernel-Mesonic-Leptonic KOR=s
K1
0.01411355
Kernel-Inner Ring VPE2
K↔IR
Kernel-Mesonic
K=u
K2
0.046100
L2
0.0049028
½(K2-L2)
0.0206
Pion-(KIR-Quark d)
Base KIR Quark
uq, dq
0.1505781
0.016014
∑(d)
=0.1506
sq
0.49184
0.052308
∑(d+s)
=0.6419
Kaon-(KOR-Quark s=d*) Resonance KOR Quark
Manifesto
Mean-Kernel-Mass
Higgs Boson
Mean-Ring-Mass
GeV*
Mass Integration
GeV*
Quark q
L1
0.0015010
Charm-(Diquark U=uu)
Diquark Singlet
Active
Uqbar
c=Uubar
1.60653
0.17086
∑(d+s+U)
=2.24843
Bottom-(Diquark b=ud)
Diquark Doublet
Active
bqbar
5.24748
0.55808
∑(d+s+U+b)
=7.4959
Magic-(Diquark m=us)
Diquark Doublet
Suppressed
17.14013
1.82288
∑(d+s+U+b+m)
=24.636
Dainty-(Diquark D=dd)
Diquark Triplet
Suppressed
55.9855
5.95425
∑(d+s+U+b+m+D)
=80.622 = MW
Top-(Diquark t=ds)
Diquark Triplet
Active
182.869
19.44825
½{t}
=91.4345 = MZ
Super-(Diquark S=ss)
Diquark Triplet
Suppressed
597.159
63.52527
½{S}
=298.58 = HVE
tqbar
256
∑(MW+ + MW- + MZo) = 2MHBo = (80.622 + 80.622 + 91.4345) GeV* = 252.679 GeV*
For Universal Electro-Weak Unification:
2MBHo/Ynpresent = 2MBHoe/c2Ynpresent = 2.6150x10-25 kg* for 2πRHBo = h/MHBoc and
RHBo = 1.3525x10-18 m*
Restmass-Photon RMP is quantized in volumar 2π2RRMP3.fps2|constant = e* for
RRMPo = 1.41188...x10-20 m*
HVE - 2MHBo = (298.58 - 252.679) GeV* = 45.901 GeV*
HVE - MHBo = (298.58 - 126.340) GeV* = 172.24 GeV* = Top-Quark Mass
Fermi Constant for Electro-Weak WNI Unification for universal alpha = 60πe2/h:
Fo(α) = απ/{√2.MW2.(1-MW2/MZ2)} = 1.5338574x10-3.α = 1.12067834x10-5 = 1/{298.72 GeV*)2
for universal alpha = 60πe2/h
Fermi Constant for Electro-Weak WNI Unification for 'running' alpha = α':
Fo(α') = α'π/{√2.MW2.(1-MW2/MZ2)} = 1.5338574x10-3.α' = 1.166378x10-5 = 1/{292.81 GeV*)2
for universal alpha = 60πe2/h with Fo(α)/Fo(α') = α/α' = 0.9608186 = 1/1.0407792 for α < α'
Fermi-HVE(α) = 292.81 GeV* = (298.72 - 5.8894 - 0.0206) GeV*
= Fermi-HVE(α') - ∑(b+s+d) - ½{K2-L2} = 292.81 GeV*
Fermi-HVE(α') = 298.72 GeV* = (298.58 + 0.14) GeV* = HEV + 6 ∑(b+s+d) + M π
for base VPE = uubar = Mπo = ∑(d) - δ{K↔IR↔OR}
{Mπ = Mπo + L2 - ⅓me = 0.1399945 GeV* for Mπo
= 0.150578 - 0.01604 + (1+⅓)me = 0.150578 - 0.016014 + 0.000694 = 0.135258 GeV*}
Weinberg Angle:
cosθW = MW/MZ = 80.622/91.4345 = 0.881746 = g/√(g2+g'2)
sinθW = √(1 - cos2θW) = √0.222524 = 0.471725 = g'/√(g2+g'2)
g'/g = tanθW = sinθW/cosθW = 0.53498967 for g'< g
2{ g'α/gα'} = 2{0.53498967/1.0407792} = 1.02805604 =
28.1463°/27.553674° = 1.02150806 + δ(0.006548)
for θW = arccos{0.88175} = 28.1463° = 27.553674° + 0.5926°
Modular ylem mass:
M|mod = Mchandra = Mm = fps|mod from monopolar displacement current:
2πi/c = 2πefps/c = 2πe/λps = e/rps = e.rss = 2πeλss for 2πi = [ec].rss as monopolar displacement current
2πi = 2πλss[ec] = 2πe[λssc] = 2πe[fpsλpsλss] = 2πefps = 2πec/λps ⇔ 2πec/lplanck√α
= 2πec3/e = 2π[ec]c2/e = 2πM|modc2/e
i = efps = M|modc2/e for e2fps|mod = M|modc2 for [h/c2]fps|mod = [E/f][m/E]fps|mod = M|mod = Mm
257
Kernel-VPE-Mixing:
K(+) = K+ + K- = 60.21355 with K(-) = K+ - K- = 31.98645
L(+) = L+ + L- = 6.40128 with L(-) = L+ - L- = 3.4018
K2 + L2 = 0.0510 GeV* for Kernel-Inner Ring VPE2 K→IR for Gluonic Kernel to Mesonic Inner Ring
K1 + L1 = 0.0156 GeV* for K-Outer Ring VPE1 (K→)IR→OR for Mesonic Inner Ring to Leptonic Outer Ring
K2 - L2 = 0.0412 GeV* for Kernel-Inner Ring VPE2 K→IR for Gluonic Kernel Base VPE
K1 - L1 = 0.0126 GeV* for Kernel-Outer Ring VPE1 (K→)IR→OR for (Gluonic Kernel)
From Electro-Weak Unification parameters:
{1eV = 1.0024656 eV*} with T(nEW=4.67x10-21) = 3.40x1015 K*
MW± = ΣKernel-Mean = mup-down+mstrange+mcharm+mbottom+mmagic+mdainty =
0.151+0.492+1.607+5.247+17.140+55.986 = 80.622 GeV* or 80.424 GeV
MZo = 91.435 GeV* or 91.210 GeV
MHχ = 298.580 GeV* or 297.846 GeV
√2.Fermi Constant G = √2.GF = √2{πα/(√2.MW2[1-MW2/MZ2])} = (1/Higgs-Vacuum-Expectation HVE)2
= 1.5848x10-5 GeV-2* for HVE=251.19 GeV* or 250.58 GeV
As the Charmonium quark state is defined by the coupling of a double-up-diquark U=uu to an anti-up-quark
as c=U.u(bar) and so as a quark molecule as the quark singlet state of 3 interacting quarks; whilst the diquark
doublet of bottom-magic {b=[ud].ubar and m=[us].ubar} and the diquark triplet of dainty-top-super
{D=[dd].U and t=[ds].U and S=[ss].U} form double quarks; the Kernel-Mean of the Charmonium energy level
is added to the HVE and the Difference-VPE levels for the K-IR - IR-OR transitions are subtracted for the
quark-antiquark coupling.
MW- + MW+ + MZo = 252.68 GeV* ≈ HVE + mcharm - (mK(+)+mK(-)+mL(+)+mL(-))
= (251.19 + 1.60653 - [0.0922+0.009806]) = 252.69 GeV* or 252.07 GeV
mcharm - (mK(+)+mK(-)+mL(+)+mL(-)) = 1.60653 - 0.102 = 1.5045 ≈ MW- + MW+ + MZo - HEV = 1.49 GeV*
HEV = MHχ - mD + mud + 2xmcharm + mu,d
= 298.580 - 55.986 + 5.24748 + 3.21306 + 0.15058 = 251.205 GeV*
≈ HEV in Kernel -Inner Ring mixing
HEV = HB+anti-HB = 2xMhiggsboson for a Higgs Boson mean of: ½{252.68} = 126.34 GeV* or 126.03 GeV SI.
Mhiggs boson = 2x{55.986+5.247+1.607+0.492+0.151+0.046+0.014} GeV* = 127.09 GeV* = 126.77 GeV SI
for an upper bound including the base quarks u,d,s and at the Dainty diquark resonance level.
Using the 3 Diquark energy levels U,D and S yield Mhiggsboson = 2x{55.986+5.247+1.607} GeV* = 125.68 GeV*
and 125.37 GeV SI. Subtracting the u,d means and the VPE mixing corrections gives:
125.68 - (gL2+gL1+gu,d+L2+L1+Lu,d) = 125.68 - 0.23321 = 125.447 GeV* or 125.138 GeV SI for a measured mass
of the Higgs Boson.
258
Quantum Relativity describes the creation of the Higgs Boson from even more fundamental templates of the
so called 'gauges'. The Higgs Boson is massless but consists of two classical electron rings and a massless
doubled neutrino kernel, and then emerges in the magneto charge induction as mass carrying Goldstone
gauge boson.
259
Higgs Boson resonances found by ATLAS and CMS as diquark conglomerates and
Diphotons of CERN as Top-Super diquarks
The 'make-up' of the Higgs Boson can be highlighted in a discovery of a 160 GeV Higgs Boson energy and
incorporating the lower energy between 92 GeV and to the upper dainty level at 130 GeV as part of the
diquark triplet of the associated topomium energy level.
In particular, as the bottomium doublet minimum is at 5,247.48 MeV* and the topomium triplet minimum is
at 55,985.5 MeV* in terms of their characteristic Kernel-Means, their doubled sum indicates a particle-decay
excess at the recently publicized ~125 GeV energy level in 2x(5.24748+55.9855) GeV* = 122.466 GeV* (or
122.165 GeV SI).
These are the two means from ATLAS {116-130 GeV as 123 GeV} and CMS {115-127 GeV as 121 GeV}
respectively. http://press.web.cern.ch/press/PressReleases/Releases2011/PR25.11E.html
Then extending the minimum energy levels, like as in the case to calculate the charged weakon gauge field
agent energy in the charm and the VPE perturbations as per the table given, specifies the 125 GeV energy
level in the Perturbation Integral/Summation:
2x{55.986+5.247+1.607+0.492+0.151+0.046+0.014} GeV* = 127.09 GeV*, which become about 126.77 GeV
SI as an upper bound for this 'Higgs Boson' at the Dainty quark resonance level and using the 3 Diquark
energy levels U,D and S yield 2x{55.986+5.247+1.607} GeV* = 125.68 GeV* and 125.37 GeV SI.
Some data/discovery about the Higgs Boson aka the 'God-Particle' states, that there seems to be a
'resonance-blip' at an energy of about 160 GeV and as just one of say 5 Higgs Bosons for a 'minimal
supersymmetry'. One, the lowest form of the Higgs Boson is said to be about 110 GeV in the Standard
Model. There is also a convergence of the HB to an energy level of so 120 GeV from some other models. But
according to QR, the Higgs Boson, is that is not a particular particle, but relates to all particles in its 'scalar
nature' as a rest mass inducer. It is natural, that an extended form of the Higgs Boson can show a blip at the
160 GeV mark and due to its nature as a 'polarity' neutralizer (a scalar particle has no charge and no spin but
can be made up of two opposite electric charges and say two opposing chirality of spin orientations.)
260
As can be calculated from the table entries below; a (suppressed Top-Super Diquark Resonance is predicted
as a (ds)UUbar(ss)=(ds).u.ubar.u.ubar.(ss) quark complex or diquark molecule averaged at
182.869+597.159)GeV=780.03 GeV.
In the diquark triplet {dd; ds; ss}={Dainty; Top; Super} a Super-Superbar resonance at 1.1943 TeV can also be
inferred with an 'IR-OR triplet suppressed' Super-Dainty resonance at 653.145 GeV* and the Top-Dainty
resonance at 238.855 GeV* by the Higgs Boson summation as indicated below.
Supersymmetric partners become unnecessary in the Standard Model, extended into the diquark
hierarchies. Next, we interpret this scalar (or sterile) Double-Higgs (anti)neutrino as a majoron and lose the
distinction between antineutrino and neutrino eigenstates.
We can only do this in the case of the Zo decay pattern, which engage the boson spin of the Z o as a
superposition of two antineutrinos for the matter case and the superposition of two neutrinos in the
antimatter case from first principles.
So, the Zo is a Majorana particle, which merges the templates of two antineutrinos say and spin induces the
Higgs-Antineutrino. And where does this occur? It occurs at the Mesonic-Inner-Ring Boundary previously
determined at the 2.776x10-18 meter marker. This marker so specifies the Zo Boson energy level explicitly as
an upper boundary relative to the displacement scale set for the kernel at the wormhole radius r ps=λps/2π
and the classical electron radius as the limit for the nuclear interaction scale at 3 fermis in: R comptonAlpha.
https://profmattstrassler.com/2015/12/16/is-this-the-beginning-of-the-end-of-the-standard-model/
261
Then the particle masses of the standard model in QED and QCD become Compton-Masses, which are Higgsmass-induced at the Mesonic-Inner-Ring (MIR) marker at RMIR=2.777...x10-18 meters. A reformulation of the
rotational dynamics associated with the monopolar naturally superconductive current flow and the
fractalization of the static Schwarzschild solution follows in a reinterpretation of the Biot-Savart Law.
The Biot-Savart Law: B = μoqv/4πr2 = μoi/4πr = μoNef/2r = μoNeω/4πr for angular velocity ω=v/r transforms
into B = constant(e/c3)gxω
in using acentripetal = v2/r = rω2 for g = GoM/r2 = (2GoM/c2)(c2/2r2) = (RSc2/2R2) for a Schwarzschild solution
RS = 2GoM/c2.
B = constant(eω/rc)(v/c)2 = μoNeω/4πr yields constant = μoNc/4π = (120πN/4π) = 30N with e = mM/30c for
30N(eω/c3)(GoM/R2) = 30N(mM/30c)ω(2GoM/c2)/(2cR2) = NmM(ω/2c2R)(RS/R) = {M}ω/2c2R.
Subsequently, B = M/2c2R = NmM(RS/R){ω/2c2R} to give a manifesting mass M fine structured in
M = NmM(RS/R) for N = 2n in the superconductive 'Cooper-Pairings' for a charge count q = Ne = 2ne. Factor
2Rc2 is then proportional to magneto charge e*=2Rec2=1/Eps with units GoM=M/ke=4oM
The string-parametric Biot-Savart law then relates the angular momentum of any inertial object of mass M
with angular velocity ω in self inducing a magnetic flux intensity given by B = Mω/2Rc 2 and where the
magnetic flux and magnetic field strength relate inversely to a displacement R from the center of rotation
and as a leading term approximation for applicable perturbation series.
The units for magnetic field B reform from the magneto charge units [C*] from Tesla
[T]*=[Js/Cm2]*=[J/Am2]*=[kgm2s-2]*/[Cm2s-1]*=[kg/s]*/[C*]=[kg/s]*/[m3/s2]*=[M/C*]*
All inertial objects are massless as 'Strominger branes' or extremal boundary Black Hole equivalents and as
such obey the static and basic Schwarzschild metric as gravita template for inertia.
This also crystallizes the Sarkar Black Hole boundary as the 100 Mpc limit
(RSarkar = (Mo/Mcritical.RHubble) = 0.028.RHubble~237 Million lightyears) for the cosmological principle, describing
large scale homogeneity and isotropy, in the supercluster scale as the direct 'descendants' of Daughter Black
Holes from the Universal Mother Black Hole describing the Hubble Horizon as the de Sitter envelope for the
Friedmann cosmology for the oscillatory universe bounded in the Hubble nodes as a standing waveform.
But any mass M has a Schwarzschild radius RS for
N = (M/mM){R/RS} = (M/mM){Rc2/2GoM} = {Rc2/2GmM} = {R/RM} for a monopolar Schwarzschild radius
RM = 2GomM/c2 = 2Go(30ec)/c2 = 60ec/30c3 = 2e/c2 = 2LP√Alpha = 2OLP.
Any mass M is quantized in the Monopole mass mM = mP√Alpha in its Schwarzschild metric and where the
characterizing monopolar Schwarzschild radius represents the minimum metric displacement scale as the
Oscillation of the Planck-Length in the form 2LP√Alpha~LP/5.85.
This relates directly to the manifestation of the magnetopole in the lower dimensions, say in Minkowskian
spacetime in the coupling of inertia to Coulombic charges, which is the electro pole and resulting in the
creation of the mass-associated electromagnetic fields bounded in the c-invariance.
262
From the Planck-Length Oscillation or 'LP-bounce': OLP = LP√Alpha = e/c2 in the higher (collapsed or enfolded)
string dimensions, the electro pole e = OLP.c2 maps the magnetopole e*= 2Re.c2 as 'inverse source energy'
EWeyl = hfWeyl and as function of the classical electron radius
Re = kee2/mec2 = RCompton.Alpha = RBohr1.Alpha2 = 1010{2πrps/360} = {e*/2e}.OLP.
The resulting reflection-mirror space of the M-Membrane space (in 11D) so manifests the 'higher D'
magneto charge 'e*' as inertial in the monopolar current [ec], that is the electropolar Coulomb charge 'e'.
This M-space becomes then mathematically formulated in the gauge symmetry of the algebraic Lie group E 8
and which generates the inertial parameters of the classical Big Bang in the Weylian limits and as the final
Planck-String transformation. This descriptor of a string-based cosmology so relates the inherent pentagonal
supersymmetry in the cosmogenesis to the definition of the Euler identity in its fine structure
X+Y = XY = i2 = -1, and a resulting quadratic with roots the Golden Mean and the Golden Ratio of the ancient
omniscience of harmonics, inclusive of the five Platonic solids mapping the five superstring classes.
The quantization of mass m so indicates the coupling of the Planck Law in the frequency parameter to the
Einstein law in the mass parameter.
The postulated basis of M-Theory utilizes the coupling of two energy-momentum eigenstates in the form
of the modular duality between so termed 'vibratory' (high energy and short wavelengths) and 'winding'
(low energy and long wavelengths) self-states. The 'vibratory' self-state is denoted in:
Eps = Eprimary sourcesink = hfps = mpsc2 and the 'winding' and coupled self-state is denoted by:
Ess = Esecondary sinksource = hfss = mssc2
The F-Space Unitary symmetry condition becomes: fps.fss = rps.rss = (λps/2π)(2πλss) = 1
The coupling constants between the two eigenstates are so: EpsEss = h2 and Eps/Ess = fps2 = 1/fss2
The Supermembrane EpsEss then denotes the coupled superstrings in their 'vibratory' high energy and
'winded' low energy self-states.
The coupling constant for the vibratory high energy describes a maximized frequency differential over time
in df/dt|max = fps2 and the coupling constant for the winded low energy describes its minimized reciprocal in
df/dt|min = fss2.
F-Theory also crystallizes the following string formulations from the E psEss super brane parameters.
1/Eps = e*= 2Rec2 = √{4αhce2/2πGome2} = 2e√α{mP/me} = 2kee2/me = αhc/πme
Here e* is defined as the inverse of the sourcesink vibratory superstring energy quantum E ps = E* and
becomes a New Physical Measurement Unit is the Star Coulomb (C*) and as the physical measurement unit
for 'Physical Consciousness'.
Re is the 'classical electron radius' coupling the 'point electron' of Quantum- Electro-Dynamics (QED) to
Quantum Field Theory (QFT) and given in the electric potential energy of Coulomb's Law in:
mec2 = kee2/Re; and for the electronic rest mass me.
263
Alpha α is the electromagnetic fine structure coupling constant =2πkee2/hc for the electric charge
quantum e, Planck's constant h and lightspeed constant c.
Go is the Newtonian gravitational constant as applicable in the Planck-Mass mP = √(hc/2πGo).
As the Star Coulomb unit describes the inverse sourcesink string energy as an elementary energy
transformation from the string parametrization into the realm of classical QFT and QED, this transformation
allows the reassignment of the Star Coulomb (C*) as the measurement of physical space itself.
Quantum Geometry in the SU(3) Hyperon Decuplet
264
265
XIV: The Monopolar Quantum Relativistic Electron
The Monopolar Quantum Relativistic Electron - An extension of the standard model
and quantum field theory
http://www.feynmanlectures.caltech.edu/II_28.html
266
David Tong; Cambridge University; Published on Feb 15, 2017
Quantum Fields: The Real Building Blocks of the Universe
Published on Feb 15, 2017
According to our best theories of physics, the fundamental building blocks of matter are not particles, but
continuous fluid-like substances known as 'quantum fields'. David Tong explains what we know about these
fields, and how they fit into our understanding of the Universe.
https://youtu.be/QUMeKDlgKmk
1. The Monopolar Quantum Relativistic Electron | Cosmogenesis - Library of Akbar Ra in Alexandria Thuban
(cosmosdawn.net)
2. (PDF) The Monopolar Quantum Relativistic Electron: An Extension of the Standard Model & Quantum
Field Theory (Part 4 | Anthony P Bermanseder - Academia.edu)
3 (https://www.academia.edu/39753909/T...rk_Lepton_Unification_in_XL_Boson_Class_HO_32
267
Despite the experimental success of the quantum theory and the extension of classical physics in quantum
field theory and relativity in special and general application; a synthesis between the classical approach
based on Euclidean and Riemann geometries with that of 'modern' theoretical physics based on statistical
energy and frequency distributions remains to be a field of active research for the global theoretical and
experimental physics community.
In this paper a particular attempt for unification shall be indicated in the proposal of a third kind of relativity
in a geometric form of quantum relativity, which utilizes the string modular duality of a higher dimensional
energy spectrum based on a physics of wormholes directly related to a cosmogony preceding the
cosmologies of the thermodynamic universe from inflaton to instanton.
In this way, the quantum theory of the microcosm of the outer and inner atom becomes subject to
conformal transformations to and from the instanton of a quantum big bang or qbb and therefore enabling a
description of the macrocosm of general relativity in terms of the modular T-duality of 11-dimensional
supermembrane theory and so incorporating quantum gravity as a geometrical effect of energy
transformations at the wormhole scale.
Using the linked Feynman lecture at Caltech as a background for the quantum relative approach; this paper
shall focus on the way the classical electron with a stipulated electromagnetic mass as a function of its
spacial extent exposes the difficulty encountered by quantum field theories to model nature as
mathematical point-particles without spacial extent.
In particular, a classical size for the proton can be found in an approximation ½R e.X = Rp for a classical
electron radius Re and where the factor X represents the symmetry equilibrium for a ß = (v/c} = f(A) velocity
ratio distribution for the effective electron rest mass me proportional to the spacial extent of the electron
and evolving real solutions for the electron parameters from a quasi-complex space solution for its rest mass
meo.
Using the ß2 distribution in a unitary interval, then bounded in a function of the electromagnetic fine
structure constant alpha; the SI-CODATA value for the rest mass of the electron is derived from first inflatonbased principles in the minimum energy Planck-Oscillator Eo=½hfo in a conformal mapping of the M-Sigma
relation applied to the Black Hole Mass to Galactic Bulge ratio for the alpha bound.
The M-Sigma ratio so can be considered as a scaling proportion between the interior of a Black Hole mapped
holographically and radius-conformally as the internal monopolar volume of the electron as a basic premise
of the quantum gravitational approach in quantum relativity and in scaling the Schwarzschild solution onto
the electron.
A unification condition in a conformal mapping of the alpha fine-structure α onto X described by X ⇔ α in
ℵ(Transformation) = {ℵ}3 : X → α{#}3 → # → #3 → (#2)3 → {(#2)3}3 is applied in this context to indicate the
relative interaction strengths of the elementary gauge interactions in proportionality:
SNI:EMI:WNI:GI = SEWG = #:#3:#18:#54.
For the symmetry equilibrium, the electric potential energy and the magnetic action energy are related for
an electron velocity of veX = 0.78615138.c and an effective mass energy of
mef = me = mecf = 1.503238892x10-30 kg*.
268
This mass-velocity relationship is supplemented by the Compton constant as: m eRe = Compton constant
= αh/2πc = lplanck.α.mplanck = mecrec , which proportionalises the quantum relativistic size of the electron with
its mass.
The Compton constant ensures Lorentz invariance across all reference frames in cancelling the length
contraction with the relativistic mass increase in the product of the proper length l o and the proper rest mass
mo as lo.mo=lo.mo/ in special relativity (SR) in the self-relative reference frame of the monopolar electron.
Subsequently then for an electron speed v eX and for rec = αh/2πcmecf = 1.71676104x10-15 m* as a decreased
self-relative classical electron radius given by the Compton constant, we calculate a relatively negligible
monopolar velocity component in (vps/c)2 = 1/{1+rec4/([2πα]2rps4)} = 1.55261006x10-35 and characteristic for
any substantial velocity for the electron.
The analysis then defines a maximum velocity for the electron with a corresponding quantum relative
minimum mass in the form of the electron (anti)neutrino in v e|max = (1 - 3.282806345x10-17) c and
m(νe)=m(ντ)2 = 0.00297104794 eV* (0.002963740541 eV) respectively. At this energy then, no coupling
between the electron and its anti-neutrino would be possible and the W- weakon could not exist.
Subsequently, we shall indicate the effect of the Compton constant and of the quantum relativistic
monopolar electron to calculate all of the neutrino masses from first principles in setting
mν = mneutrino = me.(rneutrino)/Re and where rv naturally applies at the limit of the electron's dynamical selfinteraction as indicated, that is the electron's quantum relativistic mass approaches that of the instanton of
the qbb.
This leads to: mνElectronc2 = mv(νTauon2)c2 = mν(νMuon2+νHiggs2)c2 = μo{Monopole GUT masses ec}2rps/4πRe2 and
where vHiggs is a scalar (anti)neutrino for the mass induction of the (anti)neutrinos in tandem with the mass
induction of the scalar Higgs boson in the weak Goldstone interaction.
For the electrostatic electron the ß distribution at A=½, the Compton constant gives
mecrec = meRe for ß2 = 0 and at A=1, the Compton constant gives mecrec = ½me.2Re for ß2 = X and as the mean
for a unitary interval is ½, the electron radius transforms into the protonic radius containing monopolar
charge as internal charge distribution in Rp = ½XRe and proportional to the effective electron rest mass m e
proportional to the spacial extent of the electron.
For the proton then, its 'charge distribution' radius becomes averaged as R proton = 0.85838052x10-15 m* as a
reduced classical electron radius and for a speed of the self-interactive or quantum relativistic electron of
vps = 1.576125021x10-17 c.
This monopolar quantum relativistic speed reaches its quantum relativistic {v/c = 1 -} limit and its maximum
QR monopolar speed of 0.0458 c at the instanton boundary and defines a minimum quantum monopolar
relativistic speed for the electron at
vpse = 1.50506548x10-18 c for its electrostatic potential, where Ue=∫{q²/8πεor²}dr = q²/8πεoRe = ½mec2 for a
classical velocity of ve=0 in a non-interacting magnetic field B=0.
2Ue = mec2 so implies a halving of the classical electron radius to obtain the electron mass me = 2Ue/c2 and
infers an oscillating nature for the electron size to allow a synergy between classical physics and that of
quantum mechanics.
269
The local geometry related to the Compton radius h/2πm is shown to manifest in a linearization of the Weyl
wormhole wavelength λps = λweyl of the qbb in the photon-mass interaction as a quantum gravitational limit
proportional to the mass of the electron in rweyl = λweyl/2π = 2GoMc/c2 = h/2πcmps for a curvature mass
Mc = hc/4πGomps conformally transforming Mc = 6445.79 kg* into 2.22..x10-20 kg* quantum gravitationally
and in a corresponding increase of a sub Planck length linearization of
rcplanck = 2Gomps/c2 = 5.4860785x10-47 m* (star units calibrated to the SI mensuration system) to the
wormhole scale of the quantum big bang as a quantum geometric curvature effect.
The qbb results from a Planck scale conformal transformation of fundamental parameters in the inflaton,
descriptive of energy transformations between five classes of superstrings culminating in the Weyl-Eps
wormhole as the final superstring class of heterotic symmetry 8x8 to manifest the super membrane E psEss as
the wormhole of the 'singularity creation', which is a derivative from a monopolar Planck-Stoney
cosmogenesis.
Recircularizing the Compton radius into a Compton wavelength in a {photon - gauge photon} interaction
labeled as electromagnetic monopolar radiation or {emr - emmr}, then is shown to define the quantum
energy of the vacuum per unit volume as a horn toroidal space-time volumar in Vortex-PE = VPEps
= ZPEweyl = 4πEps/λps3 and completing the encompassing energy spectrum in integrating the electric-,
magnetic- and monopolar field properties in {½melectric + ½mmagnetic(v/c)2 + δmmonopolic}c2 = mc2.
The self-interaction of the electron in energy, so crystallizes its monopolar superbrane origin in the addition
of a quantum self-relative magnetic energy acting as a 'hidden' electromagnetic monopolar field in the
volume of spacetime occupied by the electron as a conformal transformation from the inflaton epoch.
A Planck-Stoney 'bounce' of the electronic charge quantum established the interaction potential between
charge and mass energy to break an inherent super-symmetry to transform string class I into string class IIB
in modular conformal self-duality of the monopole super-membrane.
Following this initial transformation relating displacement to electric charge in the magneto charge of the
monopole; a heterosis between string classes HO(32) and HE(64) enabled the bosonic superstring to
bifurcate into fermionic parts in a quark-lepton hierarchy from the HO(32) superstring to the HE(64)
superstring of the instanton of the qbb and who is called the Weyl or wormhole boson E ps in this paper.
We shall also indicate the reason for the measured variation of the fine structure constant by Webb,
Carswell and associates; who have measured a variation in alpha dependent on direction.
This variation in alpha is found in the birth of the universe as a 'bounce' or oscillation of the Planck length as
a minimum physical displacement and becomes related to the presence of the factor γ 3 in the manifestation
of relativistic force as the time rate of change of relativistic momentum p rel.
Furthermore, the mass-charge ratio {e/meo} relation of the electron implies that a precision measurement in
either the rest mass moe or the charge quantum e, would affect this ratio and this paper shall show how the
electromagnetic mass distribution of the electron crystallizes an effective mass m e from its rest mass
resulting in meo = me'2 related to the coupling ratio between the electromagnetic (EMI) and the strong
nuclear interaction (SNI), both as a function of alpha and for an asymptotic (not running) SNI constant
defined from first principles in an interaction transformation between all of the four fundamental
interactions.
270
Since {1-ß2} describes the ß2 distribution of relativistic velocity in the unitary interval from A=0 to A=1,
setting the quantum relativistic mass ratio [m oe/me]2 = {1-ß2} equal to a cosmological M-Sigma ratio
conformally transformed from the Planck scale, naturally defines a potential oscillatory upper boundary for
any displacement in the unit interval of A. An increase or decrease in the 'bare' electron mass, here denoted
as moe can then result in a directional measurement variation due to the fluctuating uncertainty in the
position of the electron in the unitary interval mirroring the natural absence or presence of an external
magnetic field to either decrease or increase the monopolar part of the electron mass in its partitioning:
melectric + mmagnetic + δmmonopolar = mec{½+½[v/c]²} + δpsmec = mec with mec2√{1 + v22/c2} = mec2 = mecc2 for
m = mec from the energy-momentum relation E2 = Eo2 + p2c2 of classical and quantum theory.
The cosmic or universal value of alpha so remains constant in all cosmological time frames; with the
fluctuation found to depend on a constant #=∛α in a strong interaction constant as a function of alpha.
At the core of physical consciousness lies quantum consciousness; but there it is called self-interaction of a
particle or dynamical system in motion relative to its charge distribution.
We shall indicate that it is indeed the charge distribution within such a system and quantized in the
fundamental nature of the electron and the proton as the base constituent of atomic hydrogen and so
matter; that defines an internal monopolar charge distribution as a quantum geometric formation minimized
in the classical size of the electron and the energy scale explored at that displacement scale.
Finally we describe the particles of the Standard Model and including a quantum geometric explanation for
the CP violation of the weak interaction, from their genesis in the inflaton and a grand unification symmetry
in a transformation of supermembranes and cosmic strings appearing today in a spectrum of cosmic rays:
SEWG------------------------SEWg--------SEW.G---------SeW.G--------S.EW.G-------------S.E.W.G
Planck Unification I----------IIB----------HO32------------IIA-----------HE64---------Bosonic Unification
The Electromagnetic Mass Energy and the [v/c]2 Velocity Ratio Distribution
The magnetic energy stored in a magnetic field B of volume V and area A=R 2 for a (N-turn toroidal) current
inductor N.i=BdR/μo for velocity v and self-induction L=NBA/i is:
Um=½Li2=½(μo.N2R)(BR/μoN)2=½B2V/μo and the Magnetic Energy Density per unit volume is then:
Um/V=½B2/μo
Similarly, the Electric Energy density per unit volume is:
Ue/V=½εoE2 say via the Maxwell equations and Gauss' law. So for integrating a spherical surface charge
distribution dV=4πr2.dr from Re to ∞:
Ue=∫{q2/8πεor2}dr = q2/8πεoRe = ½mec2
2Ue = mec2 so implies a halving of the classical electron radius to obtain the electron mass m e = 2Ue/c2 and
infers an oscillating nature for the electron size to allow a synergy between classical physics and of quantum
mechanics.
271
As Enrico Fermi stated in 1922; changing the rest mass of the electron invokes the ratio ß 2=v2/c2 in an
attempt to solve the riddle of electromagnetic mass and the factor of 4/3 differentiating between the
electron's relativistic momentum and its relativistic energy.:
"1. It's known that simple electrodynamic considerations [1] lead to the value (4/3)U/c2 for the
electromagnetic mass of a spherical electricity-distribution of electrostatic energy U, when c denotes the
speed of light. On the other hand, it is known that relativistic considerations for the mass of a system
containing the energy U give the value U/c2.
Thus, we stand before a contradiction between the two views, whose solution seems not unimportant to
me, especially with respect to the great importance of the electromagnetic mass for general physics, as the
foundation of the electron theory of matter.
Especially we will prove: The difference between the two values stems from the fact, that in ordinary
electrodynamic theory of electromagnetic mass (though not explicitly) a relativistically forbidden concept of
rigid bodies is applied. Contrary to that, the relativistically most natural and most appropriate concept of
rigid bodies leads to the value U/c2 for the electromagnetic mass.
We additionally notice, that relativistic dynamics of the electron was studied by M. Born, [2] though from the
standpoint only partially different from the ordinary electrodynamic one, so that the value (4/3)U/c2 for the
Electron's mass was found of course.
In this paper, Hamilton's principle will serve as a basis, being most useful for the treatment of a problem
subjected to very complicated conditions - conditions of a different nature than those considered in ordinary
mechanics, because our system must contract in the direction of motion according to relativity theory.
However, we notice that although this contraction is of order of magnitude v2/c2, it changes the most
important terms of electromagnetic mass, i.e, the rest mass."
The Heisenberg uncertainty principle relating energy with time and displacement with momentum in the
expression ΔE.Δt = Δx.Δp ≥ h/4π applied to the quantum mechanical scale of de Broglie wave matter λ dB =
h/mv and the Compton mass-photon interaction Δx = rcompton = h/2πcm shows a natural limit for the
measurement of position in Δp = Δmv ≥ h/4πΔx = ½mc.
When Δp exceeds mc , then ΔE exceeds mc in the Energy-Momentum relation E2 = (pc)2 + (mc2)2 and we can
apply this natural limitation on measurement to the position of the electrostatic electron mass in a variable
classical electron radius as rec = αh/2πcm = αrcompton = {μoe2c/2h}.{h/2πcmec} = μoe2/4πmec and rendering the
Compton mass-photon interaction modified in the electromagnetic fine structure constant α to relate the
inverse proportionality between the electron's rest mass to its spacial extent in:
meRe = Compton constant = αh/2πc = lplanck.α.mplanck = mecrec ……………………………….[Eq.XII-1]
The Compton constant ensures Lorentz invariance across all reference frames in cancelling the length
contraction with the relativistic mass increase in the product of the proper length l o and the proper rest mass
mo as lo.mo=lo.mo/ in special relativity (SR) in the self-relative reference frame of the monopolar electron.
In particular, a classical size for the proton can be found in an approximation ½R e.X = Rp and where the factor
X represents the symmetry equilibrium for a B=(v/c} velocity ratio distribution for the effective electron rest
mass me proportional to the spacial extent of the electron.
272
For the symmetry equilibrium, the electric potential energy and the magnetic action energy are related for
an electron velocity of ve = 0.78615138.c and an effective mass energy of
mef = me = mecf = 1.503238892x10-30 kg* for rec = αh/2πmecf = 5.150283117x10-7 m* as a largely increased
classical electron radius given by the Compton constant for a negligible monopolar velocity component in
(vps/c)2 = 1/{1+rec4/([2πα]2rps4)} = 1.916797918x10-69 for any substantial velocity for the electron.
For the proton then, its 'charge distribution' radius becomes averaged as R proton = 0.85838052x10-15 m* as a
reduced classical electron radius and for a speed for the self-interactive or monopolar quantum relativistic
electron of 2.96026005x10-13 c. This quantum relativistic speed reaches its v/c = 1- limit at the instanton
boundary and defines a minimum quantum relativistic speed for the electron at
ve = 1.50506548x10-18 c for its electrostatic potential, where Ue=∫{q²/8πεor²}dr = q²/8πεoRe = ½mec2 for a
classical velocity of ve=0 in a non-interacting magnetic field B=0.
Considering the surface charge distribution of the electron's electric potential to also exhibit a selfinteractive term applying to a spacial distribution of the electron mass in its quantum relativistic volume,
then this part can be defined as the self-interaction of a purely electromagnetic part of the electron's
electrodynamic energy.
Then for a constant charge density in the electron's volume; ρ=3q/(4πr3) and
q=4πρr3/3 with dq/dr = 4πρr2dr
The electrostatic potential for this charge distribution V(r) = q/4πε or
then contains an energy dU = qdq/(4πεor) for U(r) =∫{16π2ρ2r5/12πεor} dr = (4πρ2/3εo)∫r4dr = ⅗.e²/4πεoRe
= ⅗.μoe2c2/4πRe = ⅗.mec2 for an electron rest mass me = 2Ue/c2 reduced by 40%.
In the linked Feynman lecture; the discrepancy between the electron radius and its electromagnetic mass is
found in a factor of U(r) = ¾.mec2 for Ue = μoe2c2/6πRe = ½(1+⅓)mec2 = ⅔mec2 and here reduced by 33⅓%.
Then a question about the cause and origin of the discrepancy in the electrodynamic properties of the
electron can be asked. As it seems that the total mass of the electron is somehow distributed between the
electric and the magnetic field properties to which should be added a self-interaction effect to account for
the differences.
But we can see, that should one use the measured electron mass from the R e-definition as the electron's rest
mass, that mmagnetic + melectric = me{½+½(v/c)²} < me , because of the mass-velocity dependency factor ß and the
group velocities v<c. To account for the 'missing' mass we simply introduce a 'missing', potential or inherent
mass term δme and call it the monopolar self-interaction mass of the electron to write:
melectric + mmagnetic + δmmonopolic = mec{½+½[v/c]²} + δpsmec = mec with mec2√{1 + v22/c2} = mec2= mecc2
for m = mec from the energy-momentum relation E2 = Eo2 + p2c2 of classical and quantum theory.
The aim is to redefine δps = 1/22 in ß2 to relate the mass discrepancy to the monopolar nature of the
quantum relativistic electron.
δps = ½{1 - {v/c]2} = ½2 for γ = 1/√(1 - [v/c]2) = 1/√(1 - ß2)
273
[Eq.XII-2]
By the Biot-Savart and Ampere Law:
B=μoq.v./4πr² and εo=1/c²μo for the E=cB foundation for electrodynamic theory. So for integrating a spherical
surface charge distribution dV=4πr².dr from R e to ∞:
Um=∫{μoq²v²/8πr²}dr = μoq²v²/8πRe = ½mev2
mmagnetic = μoe²[v/c]²/8πRe = mec.Aß2 = ½me.(v/c)2 for a constant A = (μoe²/8πRe)/mec = me/2mec for
Reme = μoe²/4π = αh/2πc
Similarly, Ue=∫dUe=q²v²/8πεoRe =keq²/2Re=½mec² as per definition of the classical electron radius and for the
total electron energy mec² set equal to the electric potential energy.
We term me here the effective electron mass and so differing it from an actual 'bare' rest mass m o.
melectric = keq²/2Rec² = keq²/e*= q²/8πεoRe c2 = Ue/c² = ½me and consider the electric electron energy to be half
the total energy (akin the virial theorem for PE=2KE, say in the Bohr atom)
PE=(-)kee²/Re = e²/4πεoRe = 2e²/8πεoRe = 2KE and where for a single hydrogen electron:
RBohr = h2/πmee2μoc2 = Re/α2 = RCompton/α = hα/2πmec for an electromagnetic fine structure constant
alpha = α = e2/2εohc = μoce2/2h
mmagnetic = μoe²[v/c]²/8πRe = melectric.(v/c)² = ½me.(v/c)² and which must be the KE by Einstein's c²dm=c²(m e-mo)
and for the relativistic electron mass m=mo/√(1-ß2)=mo for ß2=(v/c)2
So we introduce a quantum relativistic (QR) monopolar rest mass m ec with a Compton-de Broglie momentum
mec.c = h/λe = hfe/c2 and consider there to be a frequency dependent photonic part in this rest mass and a
part, which we have labeled as having an electromagnetic monopolar radiative or emmr origin.
The effective minimum rest mass for the electron in electro stasis in the absence of an external magnetic
field in Maxwell's equations and as a function of the Compton constant then also harbours an internal emmr
magnetic field as the sought after self-interaction of the electron.
We shall find that the ß2 distribution for the electron velocity defines a natural mirror boundary for an actual
electron speed at 0, which so enables a complex electron velocity to decrease towards this complex
boundary from a complex electron space and to then increase from this boundary as a real observed part.
We shall find that the classical electrostatic electron in the absence of its monopolar component can be
considered to move with a speed of 0.177379525 c through an electrostatic potential of 8.25368811 keV*.
It is then a monopolar or self-interaction of the electron which effectively doubles its rest mass as a
magnetic field applied internally and as a charge distribution for a quantum geometric electron and naturally
contains the classical factor of (4/3) as a mean value in the ß 2 distribution.
The volume occupied by the monopolar magnetic charge distribution relates to quantum chromodynamics
and its gluon-colour magnetopolar charges in representing quantized higher dimensional spacetime which
can be considered as 'collapsed' in its nature as a 7-dimensional Calabi-Yau manifold, but manifesting as a
Riemann 3-sphere or 2-Torus (horn-toroidal) volumar quantizing 11-dimensional spacetime into Weylian
wormholes in a mirror 12-dimensional Vafa spacetime.
274
This spacetime then compactifies the higher dimensional spacetime as a 3-dimensional surface, where a 11dimensional surface manifold manifests in 3-D spacetime through open ended strings or Dirichlet branes
attached in modular string dualities to a hyperbolic open de Sitter (dS) spacetime, but is in mirror duality
from a closed spheroidal Anti de Sitter spacetime (AdS) to cancel the curved spacetimes in the VortexPotential-Energy or Zero-Point-Energy (ZPE) per unit volume or wormhole VPE of the Weylian spacetime
quanta defined for a monopolar group velocity vps and the Compton parameters in:
Vortex-PE/V = VPEEps = ZPEweyl = 4πEps/λps3 = 2α2Eps{[c/vps]2 -1}/rec3 = Eps/Vps ……………..[Eq.XII-3]
Vps = (2πrps).(πrps2) = 2π2rps3
The Extension of Newton's Law in Relativistic Momentum and Energy and the
Magnetopolar Self-Interaction of the Electron
Newton's law for force is mass times acceleration F = ma can be written in relativistic form as the change of
the linear momentum over time and with an associated 'hidden' form of angular momentum change and
acceleration in the change of rest mass as photonic energy and mass equivalent over time itself:
dprel/dt = d(mov)/dt = mod(v)/dt + vd(mo)/dt =
mod(v)/dt + {vh/c2}df/dt = mo3.dv/dt + {vh/c2}df/dt = Fa + Fα for = 1/√{1 - [v/c]2} ……………[Eq.XII-4]
The product me.Re = Compton constant = hα/2πc = α.lplanck.mplanck
A changing electron size re changes the electron rest mass mo in proportionality re ∝ 1/mo and where
mo= mec = me as the electromagnetic relativistic quantum mass for r e = Re = Rcompton/α.
The boundary relativistic electron mass so becomes the Compton wormhole mass of the Quantum Big Bang
α.mps = α.hfps/c2
The classical electron's acceleration a = Fa/m from its relativistic force Frel = d(prel)/dt for a constant rest mass
mo is then supplemented by a quantum acceleration α from its quantum mechanical Compton mass
mecompton = mec = hα/2πcre and where the classical rest mass mo changes as mecc2 = (hvre/c2). .(df/dt).
The frequency differential over time is maximized in {df/dt}|max = {(fps - fss)/fss} = fps2 - 1 as the maximum
entropy frequency permutation eigenstate fps2 = 9x1060 for its minimum state fss2 = 1/fps2 by modular string
T-duality fps.fss = 1 of super-membrane EpsEss and wormhole frequency fWeyl = fps.
In units of angular acceleration, df/dt so relates Planck's constant h and the Planck action in dE/dt = hdf/dt
and the Heisenberg Uncertainty principle in dE.dt = h.df.dt in this string T-duality of the frequency self-states
fps|max and fss|min and for the mass-eigen frequency quantum fss = mssc2/h by brane coupling constants
Eps.Ess = h2 and Eps/Ess = fps2 .
(1) Energy E = hf = mc2 (The Combined Planck-Einstein Law)
(2) E = hf iff m = 0 (The Planck Quantum Law E=hf for light speed invariance c=λf)
(3) E = mc2 iff f = fo = fss (The Einstein Law E = mc2 for the light speed upper limit)
275
(1) Whenever there is mass (M = Minertial = Mgravitational) occupying space; this mass can be assigned either as a
photonic mass {by the Energy-Momentum relation of Special Relativity:
E2 = Eo2 + (pc)2} and by the photonic momentum p = h/λ = hf/c} or as a 'rest mass' m o= m.√[1-(v/c)2] for a 'rest
energy' Eo = moc2.
The 'total' energy for the occupied space so contains a 'variable' mass in the 'combined' law; but allows
particularisation for electromagnetic radiation (always moving at the Maxwell light speed constant c in
Planck's Law and for the 'Newtonian' mass M in the Einstein Law.
(2) If M=0, then the Einstein Law is suppressed in favour of the Planck Law and the space contained energy E
is photonic-electromagnetic, always dynamically described by the constancy of light speed c.
(3) If M>0, then there exists a mass-eigen frequency fss = fo = Ess/h = mssc2/h, which quantizes all mass
agglomerations m = Σmss in the mass quantum mss = Ess/c2.
Letting rec be the oscillating classical electron radius rec from its maximum value R e = μoe2/4πme
= αh/2πcme to its minimum qbb value rps=λps/2π from the de Broglie wave matter wavelength
λe = h/mec = c/fe = hc/Ee = hc/mec2 ; the electron's energy for its quantum mechanical self-interaction part
assigns the photon - mass interaction in the Compton constant in its linearized nature of the QR electron and
can be stated as:
h∑f frequency energy states = hfe = mecc2 = (hvrec/c2).γ.(df/dt) = {vγ}{rec.hfps2/c2} = {vγ}{hrec/λps2} for the
maximum frequency summation at rec = rps
for v/√(1-[v/c]2) = mecc2λps2/hrec = αcλps2/2πrec2 using mecrec = constant = hα/2πc = meRe and v2/{1-[v/c]2}
= {αcλps2/2πrec2}2 = Ø2 solving for v2{1+Ø2/c2} = Ø2 with (v/c}2 = Ø2/(c2+Ø2) = 1/{1+[c/Ø]2}
The quantum relativistic mechanical electron's velocity distribution for a variable classical electron radius R e
in the proportional Compton rest mass mec and rec generalised in the wave matter constancy of de Broglie for
the quantum relativistic part of rest mass mo = hf/c2 and a purely self-interacting electromagnetic monopolar
part as electromagnetic monopolar radiation (emmr) so is:
"Juju's Electron Equation 31|31:" applied for the maximum integrated quantum energy state:
{melectric + mmagnetic + memmr}c2 = Eweyl = hfweyl = Eqbb = mpsc2 = 1/e*
{vps/c}2 = 1/{1 + 4π2rec4/α2λps4} = 1/{1 + rec4/4π2α2rps4} …………………………….…[Eq.XII-5]
δps = ½{1 - {v/c]2} = 1/22 for = 1/√(1 - [v/c]2) = 1/√(1 - ß2)
This sets the proportionality between monopolar emmr and electromagnetic emr in the constancy of light
speed c:
v2/(1-2δps) = c2 = vps2/{1 + rec4/4π2α2rps4} for the monopolar δps and letting vps = xc as a fractional monopolar
velocity colinear with v:
For δps → ½+ as v → 0 , ½ of the electron's mass will be monopolar in the internal magnetic field in lieu of the
absence of an external magnetic field B=0, with the remaining half being the energy of the electro stasis.
276
For v=½ c; vps = 2.006753867x10-18 c and rec = 0.866025403 Re for δps =½{1-0.25} = 0.375
For v= 0.651899075 c; vps = 3.035381866x10-18 c and rec = 0.758305739 Re for δps =½{1-0.315985704}
= 0.34200715
For δps → 0+ as v → c- , ½- of the electron's mass will be magnetic in the external magnetic field B
supplementing the remaining half of the electro stasis with a decreasing monopolar component δps as a
function of the monopolar velocity of the electron vps.
δps = ½{1 - [v/vps]2{4π2α2rps4/(4π2α2rps4 + rec4)} = ½{1 - [v/vps]2{1/(1 + [rec/rps]4/4π2α2)}} …………[Eq.XII-6]
Then the upper limit for rec = rps and the qbb wormhole boundary is:
δps = ½{1 - [c-/vps|max]2(4π2α2)/(1+4π2α2)} = ½{1 - 1-} = 0+ for vps|max2 = (4π2α2c2)/(1+4π2α2) showing that as [v/c]
→ 1- ; δps → 0 for ½ of the electron's mass being from the electric field and the other half being from the
external magnetic field for increasing relativistic velocity v increasing the monopolar part in v ps to its
maximum at the wormhole qbb scale.
vps|max = xc = 2παc/√(4π2α2+1) = 0.045798805 c as the maximized monopolar magnetic speed for the
electron and decreasing to its minimum speed
vps|min = c/√(1 + 4π2(1010/360)4/α2) c = 1.50506540x10-18 c for the classical electron radius scale given by R e
and the internal velocity of the electron in electro stasis.
The lower limit for rec = Re = 1010λps/360 (from the Planck-Stoney-QR Unification) becomes:
δps = ½{1 - [v/vps|min]2(4π2α2)/(4π2α2+ [2π.1010/360]4)} = ½{1 - [v/vps|min]2(1/(1+ 4π2.1040/α2.3604)}
= ½ - ½[v]2(2.265221852x10-36)/(4.5151962x10-10) = ½ - (2.508442326x10-27)v2, showing that as [v] → 0 + ;
δps → ½ for ½ of the electron's mass being monopolar.
The wave nature of the electron changes the Compton radius to its Compton wavelength however and the
derivation of [Eq.5] results in a recircularization of parameters to give a statistical root-mean-square velocity
for the QR electron.
(hvλps/c2). .(df/dt) = hvλps.fps2. /c2 = hfps = mpsc2
(v/√(1-[v/c]2) = c and v2/{1-[v/c]2} = c2 solving for v2 = c2 - v2 and v2 =½c2 for an averaged Compton emr-emmr
speed of
vλc = c/√2 …………………………….[Eq.XII-7]
This formulation sets an upper and lower bound for velectron in the electron radius in the interval:
〈 Re|max ....... Rec|min = λps/2π = rps = rWeyl = rwormhole = rqbb 〉
The speed of the quantum mechanical electron of mass mec= αmps kg*, so is maximized in its minimum
radius of the wormhole as 0.045799 c or 13,739,643.01 (m/s)* and limits the classical relativistic electron
speed in:
mec/√{1-(vec/c)2 } = αmps = 1.621502875x10-22 kg* for {ve/c}2 = 1 - {me/αmps}2
277
ve|max = √{1 - (5.72957797x10-9)2} c = √{1 - 3.28280637x10-17} c ~ {1 - 1.64140319x10-17} c = cand as the self-energy Eec=mecc2 = αmpsc2 = αEps = α/e* J* for the Weyl electron of the quantum big bang
(qbb) or instanton following the inflaton of the string epoch.
This energy of self-interaction represents the original Zero-Point or VPE energy of the matrix of spacetime in
the minimum Planck oscillator |½Eo| = |h/4π| = ½Eplanck which manifests the quantization for the parameters
describing dynamical interaction within it.
As such a VPE-Volumar brane, the conformal transformation of the Planck oscillator into the Weyl oscillator
can be used to define the concept of a 'physical consciousness awareness quantum' αω=df/dt in the
maximized frequency entropy state in a brane volumar and as per [Eq.XII-3].
Here a 4-dimensional Riemann sphere with volume V4(r) = ½π2r4 manifests as a 3-dimensional surface:
dV4/dr = 2π2r3 and so as the encompassing 'mother black hole' solution for the inner horizon of an open de
Sitter holographic cosmology bounded by that inner black hole surface as a one-sided 11-dimensional hypersurface, whose outside uses the mirror modular duality of string physics to define the outer horizon as a
Möbian connected topology of closed Anti de Sitter space-time as a quasi-12th dimension, which can be
labeled as a Vafa's 'father white hole', quantum entangling the inner- and outer horizons of the Witten
manifold mirror in the membrane modular duality.
This allows a number of predictions for particular energy levels to be made.
For the maximized volumar brane at the Weyl energy and for the maximized frequency permutation state.
Vbrane.(df/dt)|max = 2π2Rrmp3.fps2 = e* =1/Eps = 2Rec2 in a Restmass photonic or 'dark matter' radius
Rrmp = ∛{e*/2π2fps2} = 1.411884763x10-20 m* for the nuclear electron at
mfermi = h/2πcRrmp= 2.50500365x10-23 kg* or 14.034015 TeV*. This is near the maximum energy potential of
the Large Hadron Collider or LHC in Geneva, Switzerland and a form of the 'dark matter' particle should
make an appearance at 14 Tev.
For the Compton electron e*/α = 2Rec2/α = 2Rcomptonc2 ; Rrmp = ∛{e*/2απ2fps2} = 7.279292496x10-20 m* for the
Compton electron at an energy of mcompton = h/2πcRrmp= 4.85868164x10-24 kg* or 2.722024 TeV*
For the Bohr electron e*/α2 = 2Rec2/α2 = 2Rbohrc2 ; Rrmp = ∛{e*/2α2π2fps2} = 3.75300456x10-19 m* for the
atomic Bohr electron at an energy of mcompton = h/2πcRrmp= 9.4238534x10-25 kg* or 527.9613 GeV*
The classical electromagnetic rest-mass memr=me becomes quantum mechanical in the string-brane
sourcesink energy E*-Gauge photon quantum of the Quantum Big Bang Weylian wormhole.
E* = Eps = hfps = hc/λps = mpsc2 = (me/2e).√[2πGo/αhc] = {me/mPlanck}/{2e√α} = 1/2Rec2 = 1/e*
Monopolar charge quantum e*/c2 = 2Re ⇐ supermembrane displacement transformation ⇒ √α.lplanck
= e/c2 as electropolar charge quantum
me = 2e√α.mplanck/2Rec2 = lplanck√α.√α.mplanck/Re = α.lplanck.mplanck/Re
= {e/c2}{√(2πke2/hc}{√(hc/2πGo)}/Re ={√(Goh/2πc3)}{2πke2/hc}{√(hc/2πGo)}/Re = {h/2πc}{2πke2/hc}/Re
= {ke2/c2}/Re = {μoe2}/4πRe
The product me.Re = Compton constant = hα/2πc = α.lplanck.mplanck
278
A changing electron size re changes the electron Restmass mo in proportionality re ∝ 1/mo and where mo= me
for re= Re = Rcompton/α = Rbohr/α2
The boundary relativistic electron mass so becomes the Compton wormhole mass of the Quantum Big Bang
α.mps= α.hfps/c2
For the wormhole limit re = rps = λps/2π = Re |minimum in unified string Planck-Stoney units
me = αmps = αhfps/c2 = αh/cλps = α/e*c2 = α/2Rec4 = hα/2πcrps = {60πhe2/2πhcrps} = 30e2/crps
= 1.62150288x10-22 kg* = meγ = me/√{1 - [v/c]2}
for velectron = c-; [v/c]2 = 1-3.2828...x10-17 for v = {1-½(3.2828x10-17)} c ~ c
The Compton constant so relates the pre-spacetime formulation in the Planck-Stoney oscillation to the postqbb cosmic evolution of the light path x=ct as:
√α.lplanck√α.mplanck = αh/2πc = √α.rplanck √α.Mcurvature = √α.mps√α.rps = α.mps.rps = mec.rec = meRe showing the
limiting electron masses me and αmps to be attained precisely at the wormhole mass mps as the modulation
with the shrinking classical electron radius Re to the wormhole radius rps as the linearization of the Compton
wavelength of the wormhole event horizon λps=2πrps.
Frequency permutation states in the monopolar velocity distribution
As the maximum frequency permutation state from the alpha-part of the relativistic force expression [Eq.XII4] is always applied to the monopolar velocity vps ; df/dt|max = fps2 = 1/fss2 = cfps/λps = cfps/2πrps for an angular
frequency ωps= 2πfps as Compton frequency; the maximum monopolar velocity ratio {v ps/c}2 applied to the
mass m = mec will be proportional to that maximized frequency state.
The de Broglie group velocity vdB = h/mecλdB = h/2πmecrdB linearized so is recircularized in the monopolar
velocity vps in the Compton constant mec.rdB = h/2πvps and with vps assuming c in the relativistic limit of the
Compton radius.
For 〈 Rec.mec = rps.mec = hα/2πc 〉|min , the minimized classical electron radius rps maximizes the monopolar
speed of the electron in:
{vps/c} = 1/√{1+1/4π2α2} = 0.04579881 as a conformal mapping of the wormhole radius of the electron onto
its classical representation in the proportion 1010 = 360Re/2πrps in a correlation between circular measure in
linearized radians and angular degrees. This is in correspondence to the wave nature expressed in the
Compton and de Broglie wavelengths and of the particle nature from the Compton and de Broglie radii in an
encompassing electromagnetic and electromagnetic monopolar emr-emmr interaction.
This monopolar ß represents a magnetic mass mmm = μoe2(vps/c)2/4πrps = Reme(vps/c)2/rps = mec(vps/c)2
= (2.09753100x10-3)mec = 3.4011525x10-25 kg for the alpha-energy Eαω = mmmc2 = hfαω= 3.051037256x10-8 J*
for a total frequency integral of fαω = 4.59160179x1025 = ∑fss = ∑mssc2/h = fαω/fss = 1.377480544x1056
frequency self-states and mass quantum mss eigen inertia states by mss = hfss/c2 by the time instanton fpsfss = 1
= Eps.e* as universal and natural self-identity for the supermembrane EpsEss , consisting of a high energy
vibratory part Eps and a low energy winding part Ess in a mirror duality coupling.
This is a magnetic mass manifesting at the atomic scale at 3.06100x10 -8 J* or 190.5433 GeV* for a
wavelength of λmm = h/mmc = 6.53382x10-18 m* for a total electron mass mec/√{1-(vec/c)2 } = αmps
=
1.621502875x10-22 kg* as the Weyl mass having replaced the classical relativistic electron Restmass m o by
the quantum dynamic Compton Restmass mec as a function of the effective classical electron mass m e.
αmps{vps/c}2 = mmm and so the Compton encompassing mass mec is reduced to the magnetic mass in the
factor {vps/c}2 characterizing the mass-radius relationship for all electrons.
279
For 〈 Re.me = hα/2πc 〉|max , the maximized classical electron radius Re minimizes the monopolar speed of the
electron in:
me=hα/2πcRe = ke2/Rec2 = μoe2/4πRe for {vps/c} = 1/√{1+Re4/4π2α2rps4} = 1/√{1+(2π.1010/360)4/4π2α2}
= 1.50506548x10-18
and as the speed of the quantum relativistic mechanical electron at rest in the classical frame
vps = 1.50506548x10-18 c = 0.45151964 (nanometers per second)*.
The inversion speed of light is vps = 1/c =3.3333... nanometers per second* in modular brane duality to
define an impedance 'bubble' characterizing astrophysical 'Hill spheres' for orbital equilibrium conditions for
satellites and moons in a Radius of Hill Impedance/Hubble Time as R HI = Ho/c as inversion displacement,
which for a Universal Age of 19.12 Gy as Hubble time for a nodal Hubble constant oscillating between fps and
Ho=c/RH = 58.04 (km/Mpc.s)* for RH = 1.59767545x1026 m* and becomes
RHI = 19.12 Gy/c = 2.011229x109 m* and encompassing a 'planetary bubble radius' to approximately 5% to
both the neighboring planets Venus and Mars.
This represents a magneto-monopolar mass mmm = μoe2(vps/c)2/4πRe = me(vps/c)2 = (2.265221x10-36)me
= 2.1045107x10-66 kg* for the alpha-energy Eαω = mmmc2 = hfαω= 1.8940596x10-49 J* for a total frequency
integral of fαω = 2.84108945x10-16 = ∑fss = ∑mssc2/h = fαω/fss = 8.52326834x1014 frequency self-states for the
mass-frequency coupling mss = hfss/c2 .
The classical electron Restmass mo = me so is reduced to the magneto-monopolar mass mmm in the factor
{vps/c}2.
280
The charge radius for the proton and neutrinos in QR
[BeginQuote]A scientific tug-of-war is underway over the size of the proton. Scientists cannot agree on how
big the subatomic particle is, but a new measurement has just issued a forceful yank in favor of a smaller
proton.
By studying how electrons scatter off of protons, scientists with the PRad experiment at Jefferson Laboratory
in Newport News, Va., sized up the proton’s radius at a measly 0.83 femtometers, or millionths of a billionth
of a meter. That is about 5 percent smaller than the currently accepted radius, about 0.88 femtometers.
https://www.sciencenews.org/article...-slightly-smaller-proton?tgt=more[EndofQuote]
It is the unitary interval between A=½ and A=1 which so determines the quantum nature for the quantum
mechanics in the relativistic ß distribution.
In particular for A=½ and for ß2 = x = 0, the Compton constant defines the required electron Restmass of
electro stasis as ½mec2 = e2c²/8πεoRe} for an effective electron size of R e,
whilst for A=1 mec2 = e2c²/4πεoRe for a doubling of this radius to 2Re for ß2 = x = X.
Using the Rydberg Constant as a function of Alpha (and including the Alpha variation) as
Ry∞ = Alpha3/4πRe = Alpha2.mec/2h = mee4/8εo2h3c = 11.1299104x106 [1/m]* or 11.1485125x106 [1/m]
defines variation in the measured CODATA Rydberg constant of a factor 10,973,731.6/11,148,512.5
= 0.98432...
Subsequently, using the Rydberg energy levels for the electron-muon quantum energy transitions, will result
in a discrepancy for the proton's charge radius in 0.88x0.98 ~ 0.866 femto meters as a mean value for the
charge radius of the proton.
Energy for quantization n: E = -Ze2/8πεoR = KE+PE = ½mv2 - Ze2/4πεoR for angular momentum
nh/2π= mvR with mv2/R = Ze2/4πεoR2
for v = Ze2/2εonh and R = n2h2εo/Ze2πm = 5.217x10-11 m* for the minimum energy n=1 for
m=meffective=me=9.29061x10-31 kg* and atomic number Z=1 for hydrogen.
En =hfn = hc/λn = -Z2e4(πme)/(8πεo2h2n2) = -Z2e4(πe2/4πεoRec2)/(8πεo2h2n2) = -Z2e6/(32πReεo3h2n2c2) for
1/λn = -Z2e6/(32πReεo3h3n2c3) = -Z2.Alpha3/4πn2Re for eigen state n and Rydberg constant
Ry∞ = Alpha3/4πRe = Alpha2.mec/2h = mee4/8εo2h3c
In the Feynman lecture the discrepancy for the electron mass in the electromagnetic mass multiplier of 4/3
is discussed. http://www.feynmanlectures.caltech.edu/II_28.html
281
Its solution resides in the unitary interval for A, as the arithmetic mean of: ½{½+1} = 3/4 as the present
internal magnetic charge distribution of the electron, namely as a trisection of the colour charge in 3x⅓=1
negative fraction charges in the quantum geometry of the electron indicated below in this paper.
The classical size for the proton so is likewise approximated at the mean value of its own colour charge
distribution, now consisting of a trisected quark-gluon-anti-neutrino kernel of 3x⅔=2 positive fraction
charges, which are 'hugged' by a trisected 'Inner Mesonic Ring' (d-quark-KIR) as a contracted 'Outer Leptonic
Ring' (s-quark-KOR) for the manifestation of the electron-muon-tauon lepton family of the standard model.
For the electrostatic electron the ß distribution at A=½, the Compton constant gives
mecrec = meRe for ß2 = 0 and at A=1, the Compton constant gives mecrec = ½me.2Re for
ß2 = X and as the mean for a unitary interval is ½, the electron radius transforms into the protonic radius
containing monopolar charge as internal charge distribution in Rp = ½XRe and where the factor X represents
the symmetry equilibrium for a ß=(v/c} velocity ratio distribution for the effective electron Restmass m e
proportional to the spacial extent of the electron.
For the proton then, its 'charge distribution' radius becomes averaged as
Rproton = 0.85838052x10-15 m* as a reduced classical electron radius and for a speed for the self-interactive or
quantum relativistic electron of 2.96026005x10-13 c.
This quantum relativistic speed reaches its v/c=1- limit at the instanton boundary and defines a minimum
quantum relativistic speed for the electron at ve = 1.50506548x10-18 c for its electrostatic potential, where
Ue=∫{q²/8πεor²}dr = q²/8πεoRe = ½mec2 for a classical velocity of ve=0 in a non-interacting magnetic field B=0.
2Ue=mec2 so implies a halving of the classical electron radius to obtain the electron mass m e=2Ue/c2 and
infers an oscillating nature for the electron size to allow a synergy between classical physics and that of
quantum mechanics.
A mapping of the atomic nucleus onto the thermodynamic universe of the
hyperspheres
We consider the universe's thermodynamic expansion to proceed at an initializing time t ps=fss at lightspeed
for a light path x=ct to describe the hypersphere radii as the volume of the inflaton made manifest by the
instanton as a lower dimensional subspace and consisting of a summation of a single spacetime quantum
with a quantized toroidal volume 2π²rweyl and where rweyl=rps is the characteristic wormhole radius for this
basic building unit for a quantized universe (say in string parameters given in the Planck scale and its
transformations).
At a time tG, say so 18.85 minutes later, the count of space time quanta can be said to be 9.677x10102 for a
universal 'total hypersphere radius' of about r G=3.391558005x1011 meters and for a G-Hypersphere volume
of so 7.69x1035 cubic meters from N{2π2.rps3} = Volume = 2π2.RHk3.
{This radius is about 2.3 Astronomical Units (AU's) and about the distance of the Asteroid Belt from the star
Sol in a typical (our) solar system.}
282
This modelling of a mapping of the quantum micro-scale onto the cosmological macro-scale can then be
used to indicate the mapping of the wormhole scale onto the scale of the sun as a quasi-conformal scaling of
the fermi scale of the classical electron radius onto a typical gravitational star system.
rweyl/Rsun=Re/rE for Rsun=rweyl.rE/Re=1,971,030 meters. This gives an 'inner' solar core of diameter about
3.94x105 meters.
As the classical electron radius is quantized in the wormhole radius in the formulation R e=1010rweyl/360,
rendering a fine structure for Planck's Constant as a 'superstring parametric': h=2πr weyl/2Rec3; the 'outer'
solar scale becomes Rsun[o]=360.Rsun=7.092x108 meters as the observed radius for the solar disk.
19 seconds later; a F-Hypersphere radius is about rF=3.451077503x1011 meters for a F-count of so 1.02x10103
spacetime quanta for the thermodynamically expanding universe from the instanton.
We also define an E-Hypersphere radius at rE=3.435971077x1014 meters and an E-count of so
10112 to circumscribe this 'solar system' in so 230 AU.
We so have 4 hypersphere volumes, based on the singularity-unit and magnified via spacetime quantization
in the hyperspheres defined in counters G, F and E. We consider these counters as somehow fundamental to
the universe's expansion, serving as boundary conditions in some manner.
As counters, those googol-numbers can be said to be defined algorithmically and to be independent on
mensuration physics of any kind.
{https://cosmosdawn.net/index.php/en...stanton-to-continuon-four-pillars-of-creation}
Should we consider the universe to follow some kind of architectural blueprint; then we might attempt to
use our counters to be isomorphic (same form or shape) in a one-to-one mapping between the macrocosmos and the micro-cosmos.
So we define a quantum geometry for the nucleus in the simplest atom, say Hydrogen.
The hydrogenic nucleus is a single proton of quark-structure udu and to which we assign a quantum
geometric template of Kernel-Inner Ring-Outer Ring (K-IR-OR), say in a simple model of concentricity.
We set the up-quarks (u) to become the 'smeared out core' in say a tripartition uuu so allowing a
substructure for the down-quark (d) to be u+Inner Ring (IR).
A down-quark so is a unitary ring coupled to a kernel-quark. The proton's quark-content so can be rewritten
and without any loss of any of the properties and generalities in unitary symmetry obtained from the
Standard Model of particle physics and associated with the quantum conservation laws; as proton ⇒ udu ⇒
uuu+IR = KKK+IR. We may now label the Inner Ring as Mesonic and the Outer Ring as Leptonic.
The Outer Ring (OR) is so definitive for the strange quark in quantum geometric terms: s=u+OR.
A neutron's quark content so becomes neutron=dud=KIR.K.KIR with a 'hyperon resonance' in the
lambda=sud=KOR.K.KIR and so allowing the neutron's beta decay to proceed in disassociation from a nucleus
(where protons and neutrons bind in meson exchange); i.e. in the form of 'free neutrons'.
The neutron decays in the oscillation potential between the mesonic inner ring and the leptonic outer ring as
the 'ground-energy' eigenstate.
There actually exist three uds-quark states which decay differently via strong, electromagnetic and weak
decay rates in the uds (Sigmao Resonance); usd (Sigmao) and the sud (Lambdao) in increasing stability.
This quantum geometry then indicates the behaviour of the triple-uds decay from first principles, whereas
the contemporary standard model does not, considering the u-d-s quark eigenstates to be quantum
geometrically undifferentiated.
283
The nuclear interactions, both strong and weak are confined in a ' Magnetic Asymptotic Confinement Limit,
coinciding with the Classical Electron Radius Re=kee²/mec² and in a scale of so 3 Fermi or 2.8x10-15 meters. At
a distance further away from this scale, the nuclear interaction strength vanishes rapidly.
The wave nature of the nucleus is given in the Compton-Radius Rcompton = h/2πmc with m the mass of the
nucleus, say a proton; the latter so having a scale reduced from R e by some partitioning of the classical
electron size.
As the Planck Oscillator E o=½hfo of the Zero-Point-Energy or ZPE as Vortex-Potential-Energy or VPE defines its
ground state at half its effective energy of Ek=hfk, and as a conformal mapping from the string energy scale of
the inflaton onto the qbb scale of the instanton in the E weyl = Eps=/e*=1/2Rec2|mod gauge boson; we define a
subatomic scale at half of R e as rmean =½Re.
The wave-matter (after de Broglie generalizing wave speed vdB from c in Rcomptonc) then relates the classical
electron radius as the 'confinement limit' to the Compton scale in the electromagnetic fine structure
constant in Re=Alpha.Rcompton.
The extension to the hydrogen-atom is obtained in the expression Re=Alpha².Rbohr1 for the first
Bohr-Radius as the 'ground energy' of so 13.7 eV at a scale of so 10 -10 meters (Angstroems).
These 'facts of measurements' of the standard models now allow our quantum geometric correspondences
to assume cosmological significance in their isomorphic mapping. We denote the Outer Ring as the classical
electron radius and introduce the Inner Ring as a mesonic scale contained within the geometry of the proton
and all other elementary baryonic- and hadronic particles.
Firstly, we define a mean macro-mesonic radius as: rM=½(rF+rG) =3.421317754x1011 meters and set the
macro-leptonic radius to rE=3.435971077x1014 meters.
Secondly, we map the macro-scale onto the micro-scale, say in the simple proportionality relation for the
micro-mesonic scale Rmean = Re.rM/rE = 2.765931439x10-18 meters.
So reducing the apparent measured 'size' of a halving of R e in a factor about 1000 gives the scale of the subnuclear mesonic interaction, say the strong interaction coupling by pions.
The Higgsian Scalar-Neutrino
The (anti)neutrinos are part of the electron mass in a decoupling process between the kernel and the rings.
Neutrino mass is so not cosmologically significant and cannot be utilized in 'missing mass' models'.
We may define the kernel-scale as that of the singular spacetime-quantum unit itself, namely as the
wormhole radius rweyl = rps =10-22/2π meters.
Before the decoupling between kernel and rings, the kernel-energy can be said to be strong-weakly coupled
or unified to encompass the gauge-gluon of the strong interaction and the gauge-weakon of the weak
interaction defined in a coupling between the leptonic Outer Ring and the Kernel and bypassing the mesonic
Inner Ring.
So for matter, a W-Minus ( weakon) must consist of a coupled lepton part yet linking to the strong
interaction via the kernel part. If now the colour-charge of the gluon transmutes into a 'neutrino-colourcharge'; then this decoupling will not only define the mechanics for the strong-weak nuclear unification
coupling; but also, the energy transformation of the gauge-colour charge into the gauge-lepton charge.
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There are precisely 8 gluonic transitive energy permutation eigenstates between a 'radiative-additive' Planck
energy in W(hite)=E=hf and an 'inertial-subtractive' Einstein energy in B(lack)=E=mc2, which describe the
baryonic- and hyperonic 'quark-sectors' in: mc2=BBB, BBW, WBB, BWB, WBW, BWW, WWB and WWW=hf.
The permutations are cyclic and not linearly commutative. For mesons (quark-antiquark eigenstates), the
permutations are BB, BW, WB and WW in the SU(2) and SU(3) Unitary Symmetries.
So generally, we may state, that the gluon is unified with a weakon before decoupling; this decoupling
'materializing' energy in the form of mass, namely the mass of the measured 'weak-interaction-bosons' of
the standard model (W- for charged matter; W+ for charged antimatter and Zo for neutral mass-currents say).
Experiment shows, that a W- decays into spin-aligned electron-antineutrino or muon-antineutrino or tauonantineutrino pairings under the conservation laws for momentum and energy.
So, using our quantum geometry in the Unified Field of Quantum Relativity or UFoQR, we realize, that the
weakly decoupled electron must represent the Outer Ring, and just as shown in the analysis of Quantum
Electro-Dynamics or QED.
Then it can be inferred, that the Electron's Anti-neutrino represents a transformed and materialized gluon
via its colour charge, now decoupled from the kernel and in a way revisiting the transformation of a bosonic
ancestry for the fermionic matter structures, discussed further on in the string class transformations of the
inflaton era. There exists so a natural and generic supersymmetry in the quark-lepton hierarchy and no
additional supersymmetric particles are necessary.
Then the Outer Ring contracts along its magneto axis defining its asymptotic confinement and in effect
'shrinking the electron' in its inertial and charge- properties to its experimentally measured 'point-particlesize'.
Here we define this process as a mapping between the electronic wavelength 2πR e and the wormhole
perimeter λweyl=2πrweyl.
But in this process of the 'shrinking' classical electron radius towards the gluonic kernel; the mesonic ring will
be encountered and it is there, that any mass inductions should occur to differentiate a massless lepton
gauge-eigenstate from that manifested by the weakon precursors.
{Note: Here the W- inducing a lefthanded neutron to decay weakly into a lefthanded proton, a lefthanded
electron and a righthanded antineutrino. Only lefthanded particles decay weakly in CP-parity-symmetry
violation, effected by neutrino-gauge definitions from first principles}.
This then indicates a neutrino-oscillation potential at the Inner Ring-Boundary. Using our proportions and
assigning any neutrino-masses mν as part of the electron mass me, gives the following proportionality as the
mass eigenvalue of the Tau-(Anti)Neutrino as Higgsian Mass Induction in the Weak Nuclear Interaction at the
Mesonic Inner Ring Boundary within the subatomic quantum geometry utilized as the dynamic interaction
space:
mHiggs/Tauon = meλweyl.rE/(2πrMRe) = meλweyl.rE/(2πrMRe)~ 5.345878435-36 kg*/2.994971267 eV*…[Eq.XII-8]
So we have derived, from first principles, a (anti)neutrino mass eigenstate energy level of 3 eV as the
appropriate energy level for any (anti)neutrino matter interaction within the subatomic dynamics of the
nuclear interaction.
This confirms the Mainz, Germany Result (Neutrino 2000), as the upper limit for neutrino masses resulting
from ordinary Beta-Decay and indicates the importance of the primordial beta-decay for the cosmogenesis
and the isomorphic scale mappings referred to in the above.
285
The hypersphere intersection of the G- and F-count of the thermodynamic expansion of the mass-parametric
universe so induces a neutrino-mass of 3 eV* at the 2.765931439x10-18 metre marker.
The more precise G-F differential in terms of eigenenergy is 0.052 eV as the mass-eigenvalue for the Higgs(Anti)neutrino (which is scalar of 0-spin and constituent of the so-called Higgs Boson as the kernelEigenstate). This has been experimentally verified in the Super-Kamiokande (Japan) neutrino experiments
published in 1998 and in subsequent neutrino experiments around the globe, say Sudbury, KamLAND,
Dubna, MinibooNE and MINOS.
Recalling the Cosmic scale radii for the initial manifestation of the primordial 'Free Neutron (Beta-Minus)
Decay', we rewrite the Neutrino-Mass-Induction formula:
rE = 3.435971077x1014 meters and an E-count of (26x6561) = 1.00x10112 spacetime quanta:
mνHiggs-E = mνelectron = me.rps{rE/rE}/Re = 5.323079952x10-39 kg* or 0.00298219866 eV* as Weak Interaction
Higgs Mass induction.
But in this limiting case the supermembrane modular duality of the instanton identity E ps.e* = 1 applied to
the Compton constant will define the limiting neutrino mass for the electron as a modular neutrino mass per
displacement quantum defined in the Compton constant meRe = mPlP = h/2c and for a modulation
displacement factor {Re2/rps} as monopolar displacement current as mass equivalence, the Planck Length
bounce displacement x = √.lP = e/c2 for finestructure unification keGo=1 and the Action Law
{Action h = ee* Charge2} via mass [m] = h/cx = hc/e =[ec] for [i]monopolar = [ec]monopolar/displacement x
|mνHiggs-E = mνelectron|mod = me.rps{Re2/rps}/Re = {h/2πc}|mod = 2.58070199x10-45 kg[m/m]* …[Eq.XII-9]
rF = 3.451077503x1011 meters for the F-count of (13x6656) = 1.02x10103 spacetime quanta:
mνHiggs-F = mνmuon=me.rps{rE/rF}/Re = 5.299779196x10-36 kg* or 2.969144661 eV* as Weak Interaction Higgs
Mass induction.
rG = 3.39155805x1011 meters for the G-count of (67x3665) = 9.68x10102 spacetime quanta:
mνHiggs-G = mνtauon = me.rps{rE/rG}/Re = 5.392786657x10-36 kg* or 3.021251097 eV* as Weak Interaction Higgs
Mass Induction.
The mass difference for the Muon-Tauon-(Anti)Neutrino Oscillation,
then defines the Mesonic Inner Ring Higgs Induction: …………..[Eq.XII-10]
mνHiggs = me.rps{rE/rG - rE/rF}/Re = 9.3007461x10-38 kg* or 0.05210643614 eV*
as the Basic Cosmic (Anti)Neutrino Mass.
This Higgs-Neutrino-Induction is 'twinned' meaning that this energy can be related to the energy of so
termed 'slow- or thermal neutrons' in a coupled energy of so twice 0.0253 eV for a thermal equilibrium at so
20° Celsius and a rms-standard-speed of so 2200 m/s from the Maxwell statistical distributions for the
kinematics. The (anti)neutrino energy at the RE nexus for RE = rps∛(26x6561) m* and for
mνHiggs-E = mνelectron = μoe2c2.rps/4πRe2c2 = 30e2λps/2πcRe2 or μo{Monopole GUT masses ec}2rps/4πRe2c2
= 2.982198661x10-3 eV* and for:
mνElectronc2 = mv(νTauon2)c2 = mν(νMuon2+νHiggs2)c2 = μo{Monopole GUT masses ec}2rps/4πRe2 ……..[Eq.XII-11]
286
This can also be written as mνHiggs-E=mνelectron=mνTauon2 to define the 'squared' Higgs (Anti)Neutrino eigenstate
from its templated form of the quantum geometry in the UFoQR.
Subsequently, the Muon (Anti)Neutrino Higgs Induction mass becomes defined in the difference between
the masses of the Tau-(Anti)Neutrino and the Higgs (Anti)Neutrino.
mνTauon = B4G4R4[0]+B2G2R2[-½] = B6G6R6[-½] = √(mνelectron) = √(0.002982) = 0.0546... eV*
mνHiggs = B4G4R4[0] = meλps.rE{1/rG-1/rF}/(2πRe) ~ 9.301x10-38 kg* or 0.0521... eV*
mνMuon = B2G2R2[-½] = √(mνTauon2 - mνHiggs2) = √(0.00298-0.00271) = √(0.00027) = 0.0164... eV*
mνElectron = B2G2R2[-½] = (mνTauon)2= (0.054607...)2 = 0.002982... eV*
This energy self-state for the Electron (Anti)Neutrino then manifests in the Higgs Mass Induction at the
Mesonic Inner Ring or IR as the squared mass differential between two (anti)neutrino self-states as:
(mν3 + mν2).(mν3 - mν2) = mν32 - mν22 = 0.002981...eV*2 to reflect the 'squared' energy self-state of the scalar
Higgs (Anti)Neutrino as compared to the singlet energy eigen state of the base (anti)neutrinos for the 3
leptonic families of electron-positron and the muon-antimuon and the tauon-antitauon.
The Electron-(Anti)Neutrino is massless as base-neutrino weakon eigenstate and inducted at RE at 0.00298
eV*.
The Muon-(Anti)Neutrino is also massless as base-neutrino weakon eigenstate and inducted at the Mesonic
Ring F-Boundary at 2.969 eV* with an effective Higgsian mass induction of 0.0164 eV*.
All (anti)neutrinos gain mass energy however when they become decoupled from their host weakon; either
a W- for matter or a W+ for antimatter.
So as constituents of the weakon gauge for the weak interaction the electron- and muon (anti)neutrinos are
their own antiparticles and so manifest their Majorana qualities in the weak interaction. Once emitted into
the energy-momentum spacetime however, the monopolar nature from their self-dual GUT/IIB monopole
mass [ec]uimd or their energy [ec3=2.7x1016 GeV*]unifiedinmodularduality manifests in their masses.
The premise of the older Standard Model for a massless (anti)neutrino so remains valid for them in respect
to their Majorana-coupling their lepton partners as the weakon agents in their quantum geometric
templates; but is modified for 'free' (anti)neutrinos as Dirac particles.
The Tauon-(Anti)Neutrino is not massless with inertial eigenstate inducted at the Mesonic Ring G-Boundary
at 3.021 eV* and averaged at 3.00 eV* as √(0.05212+0.01642) = 0.0546 eV* as the square root value of the
ground state of the Higgs inertia induction. The neutrino flavour mechanism, based on the Electron
(Anti)Neutrino so becomes identical in the Weakon Tauon-Electron-Neutrino oscillation to the Scalar MuonHiggs-Neutrino oscillation.
The weakon kernel-eigenstates are 'squared' or doubled (2x2=2+2) in comparison with the gluoniceigenstate (one can denote the colour charges as (R²G²B²)[½] and as (RGB)[1] respectively say and with the []
bracket denoting gauge-spin and RGB meaning colours Red-Green-Blue).
The scalar Higgs-Anti(Neutrino) becomes then defined in: (R4G4B4)[0] and the Tauon Anti(Neutrino) in
(R6G6B6)[½] in doubling of the singular R2G2B2 inflexion points in the UfoQR for odd Gravitational
Interaction GI and even Electromagnetic Interaction EMI. The GI points define BGR color charges, and the
EMI points define RGB color charges for (anti)neutrino generation as a function of the 12 interwoven
monopolar current loops (see diagram below).
287
The reason as to why no right-handed neutrinos and left-handed antineutrinos manifest in the UfoQR
crystallizes in the distribution of the odd and even pi-nodes established in the base templates of the QBBS.
The Dark Matter agent of the RMP manifests in the 0° - 120°- 180°- 200° interval in the UfoQR and so
includes an odd GI monopolar current coordinate; whilst the Anti-RMP manifests in the
520° - 540° - 600° - 720° interval with 540° as 3+/6 in between the odd GI at 3 and the even EMI at
4.
The Anti-RMP as an Anti-Dark Matter agent is therefore suppressed in that the B2G2R2[-½] Majorana
neutrino at 720° flipping into a R2G2B2[+½] Majorana Anti-neutrino at 600° cannot then flip into a Majorana
neutrino at the 540° nexus and remains as a Majorana Anti-neutrino at the 520° coordinate to suppress the
manifestation of the Anti-RMP M2C2Y2[+1] as the spin induced form of the scalar Anti-Higgs Boson or Anti-HB
M2C2Y2[0].
The right-handed R2G2B2[+½] Majorana Antineutrino so continues to the intersection monopolar current
coordinate as the 2-EMI 3-junction where it meets and merges with a left-handed Majorana Antineutrino
which flipped from R2G2B2[+½] Majorana Antineutrino at 0° into a B2G2R2[-½] Majorana Neutrino at 120°
before flipping its color charge permutation cyclicity from anticyclic B 2G2R2 to cyclic R2G2B2 into a R2G2B2[-½]
Majorana Antineutrino at 180° to complete its unified field Weak-Nuclear matter-antimatter interaction in
conjunction with the manifested dark matter agency of the RMP[-1] and to create the template for the Higgs
Anti-neutrino R2G2B2[-½] + R2G2B2[+½] = R4G4B4[0].
Neutrino Discrepancies and Higgs Neutrino Oscillation Masses
A history of neutrino measurements is described as a reply to a published video by Sabine Hossenfelder from
September 21st, 2021
https://youtu.be/p118YbxFtGg
288
289
The ‘missing’ left-handed Anti-neutrino so is integrated or absorbed by the scalar or sterile Higgs Antineutrino with a natural suppression of the scalar or sterile Higgs neutrino by the not manifested RMP[+1]
and Anti-HB[0] templates in the UfoQR.
R2G2B2[+½]-→B2G2R2[-½]-→R4G4B4[0]←-R2G2B2[+½]←-B2G2R2[-½] across a 4 interval.
The scalar Higgs-Anti(Neutrino) then is defined in (R4G4B4)[0]
and the Tauon Anti(Neutrino) in (R6G6B6)[½].
The twinned neutrino state so becomes apparent in a coupling of the scalar Higgs-Neutrino with a massless
base neutrino in a (R6G6B6)[0+½]) mass-induction template.
The Higgs-Neutrino is bosonic and so not subject to the Pauli Exclusion Principle; but quantized in the form
of the FG-differential of the 0.0521 Higgs-Restmass Induction.
Subsequently all experimentally observed neutrino-oscillations should show a stepwise energy induction in
units of the Higgs-neutrino mass of 0.0521 eV.
This was the case in the Super-Kamiokande experiments; and which was interpreted as a mass-differential
between the muonic and tauonic neutrino forms.
mνHiggs + mνelectron = mνHiggs + (mνTauon)2 for the 'squared' ground state of a massless base (anti)neutrino for a
perturbation Higgsian (anti)neutrino in (mνTauon)2
= (mνHiggs + Δ)2 = mνElectron for a quadratic mνHiggs2 + 2mνHiggsΔ+ Δ2 = 0.002982 from (mνHiggs + Δ) = √(mνelectron)
and for a Δ = √(mνelectron) - mνHiggs = mνTauon - mνHiggs = 0.0546 eV - 0.0521 eV = 0.0025 eV.
mνHiggs + Δ = 0.0521 + 0.0025 = (mνHiggs) + (mνelectron) - 0.00048 = mνtauon = 0.0521+0.00298 - 0.00048 + ...
= 0.0546 eV* as a perturbation expression for the 'squared' scalar Higgs (Anti)Neutrino.
(mνMuon - mνElectron){(mνMuon + mνElectron) - (mνMuon - mνElectron)} = 2mνElectron(mνMuon - mνElectron) as the squared mass
difference: mνMuon2 - mνElectron2 = 2mνElectron(mνMuon - mνElectron) + (mνMuon - mνElectron)2
and for mνMuon2 = mνElectron - mνHiggs2 = (0.002982 - 0.00271 = 0.00027) for √(0.00027) = mνMuon = 0.01643
= 5.51 mνElectron .
{mνMuon2 - mνElectron2} - mνMuon2 + 2mνMuonmνElectron - mνElectron2 = 2mνMuonmνElectron - 2mνElectron2
= 2mνElectron{mνMuon - mνElectron }
= 2mνElectron2{mνMuon/mνElectron - 1} = 8.892x10-6{11.02-1} = 8.910x10-5, approximating the KamLAND 2005
neutrino mass induction value of 7.997..x10-5 eV2 obtained for a ratio of 11mνElectron = 2mνMuon.
For 3 (anti)neutrinos then, the cosmological summation lower and upper bounds for (anti)neutrino
oscillations are:
0 + mνelectron-muon + mνelectron-tauon + mνmuon-tauon = 3(0.002982) = 0.00895 eV* or 0.00893 eV [SI] and
3(0.0030+0.0546) = 3(0.0576) = 0.1728 eV* or 0.1724 eV [SI] respectively.
Inclusion of the scalar Higgs (anti)neutrino as a fourth (anti)neutrino inertial self-state extends this upper
boundary by 0.0521 eV* and 0.0520 eV to 0.2249 eV* or 0.2243 eV [SI].
∑mν = mνElectron + mνMuon + mνHiggs + mνTauon = 0.002982..+ 0.0164..+ 0.0521..+ 0.0546.. = 0.1261 eV* or 0.1258
eV.
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In terms of the Higgs Mass Induction and their inertial states, the Neutrinos are their own antiparticles and
then Majorana defined; but in terms of their basic magneto charged nature within the Unified Field of
Quantum Relativity, the Neutrinos are different from their Antineutrino antiparticles in their Dirac definition
of R2G2B2[+½] for the Antineutrinos and in B2G2R2[-½] for the Neutrinos.
mνHiggs=meλw.rE/(2πrMRe){1/rG-1/rF} ~ 9.3x10-38 kg or 0.052 eV for a scalar blueprint AntiνHiggs = R4G4B4[0] with
anti-state νHiggs = B4G4R4[0] and coupling as the Tauon (Anti) Neutrino as
Antiνtauon = R2G2B2[+½] + R4G4B4[0] = R6G6B6[+½] = Antiνelectron + AntiνHiggs
and νtauon = B2G2R2[-½] + B4G4R4[0] = B6G6R6[-½] = νelectron + νHiggs
For a differential equation for Potential Energy: ∇2∅ - {μr}2 = 0
∇2∅ - {r/Re}2 = 0 = (1/r).∂2/∂r2{r∅} - {r/Re}2.∅ ∂2/∂r2{r∅} = {r/Re}2.(r∅) for a solution
r∅ = constant.exp[-r/Re] for the Yukawa Potential with μ = 1/Re = 4πεomec2/e2 = 4πme/μoe2
∅ = constant.(1/r).exp[-r/Re] ⇒ mec2 = (μoe2c2/4πR).exp[-R/Re] for R/Re = exp[-R/Re]
f(R/Re) = R/Re - exp[-R/Re] = f(x) = x - exp[-x] = 0 with derivative f'(R/Re) = f'(x) = 1 + exp(-x)
and xk+1 = xk - f(x)/f'(x) for a Newton-Raphson solution
xo =½ for x1 = ½ - (-0.10653066)/(1.6065307) = 0.56631100;
x2 = 0.56631100 - (-0.00130508243)/(1.56761552) = 0.56714353;
x3 = 0.56714353 - (0.00000037547)/(1.56714316) = 0.56714330... for R = 0.5671433 R e
For the potential energy of the electron with effective mass m e = μoe2/4πR, the Yukawa potential for the
nucleus reduces the classical electron radius to 0.5671433 R e, which approximates the radius of the proton
as ½Re but diverges from the proton's charge radius by the factor X approximately.
We have shown that the sought-after reduction of the classical radius of the electron occurs in the interval
from A=½ to A=1 and where the Yukawa potential results in ½XRe or= 0.85838x10-15 m* for the charge radius
of the proton at A=1 as precisely half of the reduced monopolar quantum relativistic electron radius at
1.716761063x10-15 m*.
The Yukawa potential applied to the classical electromagnetic electron in electro stasis so approximates the
monopolar quantum relativistic electron in 0.5671433/0.618034 or 91.77%.
From the Feynman Lecture:
This function is called the Yukawa potential. For an attractive force, K is a negative number whose
magnitude must be adjusted to fit the experimentally observed strength of the forces. The Yukawa potential
of the nuclear forces dies off more rapidly than 1/r by the exponential factor.
The potential—and therefore the force—falls to zero much more rapidly than 1/r for distances beyond 1/μ,
as shown in Fig. 28–6. The “range” of nuclear forces is much less than the “range” of electrostatic forces. It is
found experimentally that the nuclear forces do not extend beyond about 10 −13 cm, so μ ≈1015 m−1.
291
Fig. 28–6.The Yukawa potential e−μr/r, compared with the Coulomb potential 1/r.
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The Wave Matter of de Broglie: λdeBroglie = h/p
View: https://youtu.be/-IfmgyXs7z8 View: https://youtu.be/tQSbms5MDvY
The Wave matter of de Broglie from the Energy-Momentum Relation is applied in a (a) nonrelativistic, a (b)
relativistic and a (c) superluminal form in the matter wavelength:
λdeBroglie = h/p = hc/pc for (pc) = √{E2 - Eo2}= moc2.√{[v/c]2/(1-[v/c]2)}
(a) Example:
A pellet of 10g moves at 10 m/s for a de Broglie wavelength v dB = h/mv = h/0.1 = 6.7x10-33 m*
This matter wavelength requires diffraction interference pattern of the order of λdB to be observable and
subject to measurement
(b) Example:
An electron, moving at 80% of light speed 'c' requires relativistic development
Eo = moc2 with E = mc2 = moc2/√{1-[v/c]2}, a 66.66% increase in the electron's energy describing the Kinetic
Energy E - Eo = {m - mo}c2
for a relativistic momentum p = m oc.√{[0.8]2/(1-[0.8]2)} = (1.333..) moc = h/λdeBroglie and for a relativistic de
Broglie wavelength, 60% smaller, than for the non-relativistic electron in
λdeBroglie = h/1.333..moc < h/0.8moc =λdeBroglie (1.83x10-12 m relativistic and 3.05x10-12 m* non-relativistic for an
electron 'Restmass' of 9.11x10-31 kg* and measurable in diffraction interference patterns with apertures
comparable to this wave matter scale).
(c) The de Broglie matter wave speed in its 'group integrated' form derives from the postulates of Special
Relativity and is defined in the invariance of light speed 'c' as a classical upper boundary for the acceleration
of any mass M. In its 'phase-individuated' form, the de Broglie matter wave is 'hyper accelerated' or
tachyonic, the de Broglie wave speed being lower bounded by light speed 'c'
vphase = wavelength.frequency = (h/mvgroup)(mc2/h) = c2/vgroup > c for all vgroup < c
m = Energy/c2 = hf/c2 = hc/λdeBrogliec2 = h/λdeBrogliec = mdeBroglie = [Action as Charge2]mod/c(Planck-Length
Oscillation) = [e2]mod/clPlanck√alpha = [e2c2/ce]mod = [ec]modular
as monopole mass of GUT-string IIB and as string displacement current mass equivalent for the classical
electron displacement 2Re = e*/c2 = [ec]modular as Wormhole minimum spacetime configuration for the Big
Bang Instanton of Big Bang wormhole energy quantum Eps=hfps=mpsc2=kBTps as a function of e*=1/Eps of
Heterotic superstring class HE 8x8 and relating the Classical Electron Diameter {2R e} as Monopole Mass
[ec]mod in mass M=E/c2 modular dual in Curvature Radius rps=λps/2π=2GoMc/c2 ⇒ Gomps/c2 quantum
gravitationally.
The factor 2Go/c2 multiplied by factor 4π is Einstein's Constant κ = 8πGo/c2 = 3.102776531x10-26 m/kg
describing how spacetime curvature relates to the mass embedded in that spacetime in the theory of
General Relativity coupled to the theory of Quantum Relativity.
The self-duality of the superstring IIB aka the Magnetic Monopole self-state in GUT Unification 2Re/30[ec]mod
= 2Rec2/30[ec3]mod = e*/30[ec3]mod ∝ κ for a proportionality constant {κ*} = 2Re/30κ[ec]mod = 2Re.c2/8πe =
e*/8πe =1.2384..x1020 kg*/m* in string units for Star Charge in Star Coulomb C*/Electro Charge in Coulomb
C unified.
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The monopolar Grand Unification (SEWG ⇒ sEwG ⇒ gravitational decoupling SEW.G) has a Planck string
energy reduced at the IIB string level of e*=[ec3]modular for mpsc2c/[ec]modular = [c3]modular = 2.7x1025 eV* or
4.3362x106 J* for a monopole mass [ec]modular = mmonopole = 4.818x10-11 kg*.
Mass M = n.mss = Σmss = n.{h/2πrdeBrogliec} .[Ess.e*]mod = n.mps.[Ess.{9x1060}.2π2Rrmp3]mod
= n.mps.[Ess.{2Re.c2}]mod = n.[Eps.Ess]mod.[2Re]mod for λdeBroglie=λps=h/mpsc and [Eps.e*]mod =1
{2Rec2} = 4GoMHyper for the classical electron radius Re=kee2/mec2 and describes its Hyper-Mass
MHyper-electron = Rec2/2Go = kee2/2Gome = 1.125x1012 kg* for an effective electron mass of
me = kee2/2Go(1.125x1012) =9.290527148x10-31 kg* in string units and where
ke = 1/4πεo = [Go]u = [30c]u = 9x109 (Nm2/C2)*.
The curvature radius for the electron mass me = relectronc2/2Go then becomes relectron = 2Gome/c2
= 2.293957...x10-57 m* in string-membrane inflaton space as 1.44133588x10-34 rps in the wormhole instanton
space.
Re/rinflaton-electron = MHyper-electron/me = 1.2109108..x1042 = ½(EMI/GI) = ½(e2/Go2me2) =½ {e/Gome}2
= ½(2.421821677x1042 ) for the classical electron radius Re halved from the classical electron diameter 2R e
from the definition for the modulated supermembrane coupled in E psEss=h2 and Eps/Ess=fps2=1/fss2.
Mass M = n.mss = Σmss = n.{mps} .[Ess.e*]mod = n.{mps}[{hfss}.2π2Rrmp3]mod = n.[mpsfss2]mod = n.[hfss/c2] = n.mss
The classical approach described in the Feynman lecture derives the momentum of a moving electron in
deriving the volume element for electromagnetic momentum p=m electromagnetic.v.=memr.v with the component
of the electron's motion v parallel gsinθ and a relativistic velocity v rel=v=v/√{1-[v/c]2} modifying prel=p
294
For magnetic field B = vxE/c2 = v.E.sinθ/c2 the momentum density εoExB = εov.E2sinθ/c2 electric energy
density Ue=½εoE2 and E=q/(4πεor2) and dV = 2πr2.sinθ.dθ.dr for the spacetime interval from some minimum
boundary a to ∞ and with ∫1/r2 dr = |-1/r|[∞,a] = 0- + 1/a = 1/a for a=Re for the waved particle electron
p = ∫εov(Esinθ/c)2 dV = prel = {2πεov/c2}{q2/16π2εo2}∫r-2.{sin3 θ.dθ}.dr = {vq2/8πεoc2}∫r-2.{sin3 θ.dθ}.dr
= {vq2/8π.a.εoc2}∫sin3 θ.dθ = {vq2/8π.a.εoc2}∫{1-cos2θ}sinθ.dθ
= {vq2/8π.a.εoc2}|⅓cos3θ -cosθ|[π,0] = {vq2/8π.a.εoc2} |-⅓+1-⅓+1| = vq2/6π.a.εoc2 = μove2/6π.Re
prel = μove2/6π.Re for memr = μoe2/6π.Re = {4/3}½me = ⅔me > ½me
The electromagnetic mass must however be exactly U e/c2 by the postulates of Relativity and so the classical
derivation must be modified in the particle nature of the electron in its associated quantum mechanical
nature.
Using memr = mo = me/2A = μoe2/6π.Re = {4/3}½me = ⅔me defines A=¾ in the (v/c)2 distribution and for a
velocity:
B2={v/c}2 = -⅚±√(19/12) for roots x=0.425 and y=-2.092; with velectron = 0.65189908 c in
Um = (½v2)μoe2/4πRe = ½mev2
{4/3}.Ue/c2 = {4/3}e2/8π.εoRe c2 = {4/3}½me = {4/3}.Um/c2 = {4/3}.μoe2/8π.Re = {4/3}ke2/e*
= {4/3}ke2.hf* = (1-⅓)me for an apparent Restmass ⅔me.
The corresponding energy level for this mass increase of ⅓me for a velocity of 0.745 c is 2.788x10-14 Joules*
or 0.17350 MeV* (0.17307 MeV) for a dynamic mass me.
The classical electromagnetic mass memr becomes quantum mechanical in the string-brane sourcesink energy
E*-Gauge photon quantum of the Quantum Big Bang Weylian wormhole. In particular setting the classical
electron radius at (3/2)Re =αh/(2πc.⅔me) = αh/2πcme = 4.1666.x10-15 m* (4.15971430x10-15 m) normalizes
the {4/3} factor from the classical derivation of the electromagnetic mass for the electron in the mean value
for the A=½ to A=1 interval for the ß2 distribution.
E* = Eps = hfps = hc/λps = mpsc2 = (me/2e).√[2πGo/αhc] = {me/mP}/{2e√α} = 1/2Rec2 = 1/e* [Eq.XII-12]
295
Expressing the electromagnetic mass in a series perturbation expansion in decreasing the classical electron
size so sets a minimum size for the electron at the Weyl boundary or 'Planck-Stoney Bounce' limit at Re in
x/c2 = λps/2π for x = rpsc2 = 2GoMHubble = Wormhole Radius of the Instanton of the quantum gravitational Big
Bang creation event.
Modular duality Eps= hfps=1/e* = Energy primary sourcesink quantum as the Weyl wormhole energy then
transforms the electron's self- energy in a decomposition or fine structure of the classical electron radius and
as 'spacetime awareness' or 'physical consciousness'.
Spacetime awareness |df/dt| acting on a volume of space in a holographic Weyl Bound conformally maps
and integrates the quantum gravitational wormhole of wavelength λ ps=10-22 m* onto the classical electron
radius as: Rwormhole/Relectron = 360/(2π.1010).
This can be defined as a form of angular acceleration |alpha omega = αω| = |df/dt|e = e*/V* = λps/hc.V*
acting on space time volumars or multi-dimensional branes in particle-wave interactions of elementary
particles-wavicles.
It is so the space occupied and containing dynamical interactions, which render the synthesis of classical
physics with quantum mechanics possible; the underpinning nature for those interactions being based on
the quantum geometry of the conformal transformations from and to the higher dimensional and openclosed Anti de Sitter (AdS) spacetimes intersecting the lower dimensional and closed de Sitter (dS)
spacetimes. {Closed 10D dS - Open AdS 11D Mirror – Closed 12D dS}
memr = μoe2/6π.Re = {4/3}.Ue/c2 = {4/3}e2/8π.εoRe c2 = {4/3}½me = {4/3}.Um/c2 = {4/3}.μoe2/8π.Re
= {4/3}kee2/e* = {4/3}kee2.hf*
As the electromagnetic mass must however be exactly U e/c2 by the postulates of Relativity and so the
classical derivation must be modified in the particle nature of the electron in its associated quantum
mechanical nature.
A Self-Interaction for the electron in the jerk or time derivative of acceleration d 3x/dt3 is naturally found in
the definition of the classical size of the electron in the wormhole quantization.
296
The self-interaction of the electron then can be considered as a deformation of the size of the electron using
both the classical scale of the particular and the quantum mechanical form in the nature of its intrinsic
quantum spin in the form of an angular acceleration given as the time derivative of frequency df/dt.
The extension of Newton's Law in relativistic momentum and energy leads to dp rel/dt = d(mov)/dt
= mod(v)/dt + vd(mo)/dt = mod(v)/dt + {vh/c2}df/dt = mo3.dv/dt + {vh/c2}df/dt.
It then is the dynamical interaction of the electron with spacetime itself, that changes the classical volume of
the electron as a function of df/dt in the membrane space of 2R ec2=Volume x Angular radially independent
acceleration.
Using this electron self-interaction as a conformal mapping from the Quantum Big Bang 'singularity' from the
electric charge in brane bulk space as a magnetic charge onto the classical spacetime of Minkowskian and
from the Planck parameters onto the atomic-nuclear diameters in 2Rec2 = e* from the Planck length
conformally maps the Planck scale onto the classical electron scale as the classical electron radius and as
defined in the alpha electromagnetic fine structure and the related mass-charge definition for the eigen
energy of the electron in mec2=kee2/Re.
The pre-Big Bang 'bounce' of many models in cosmology can be found in a direct link to the Planck-Stoney
scale of the 'Grand-Unification-Theories'. In particular it can be shown, that the Square root of Alpha, the
electromagnetic fine structure constant, multiplied by the Planck-length results in a Stoney-transformation
factor LP√α = e/c2 in a unitary coupling between the quantum gravitational and electromagnetic fine
structures.
Goke=1 for Go=4πεo and representing a conformal mapping of the Planck length onto the scale of the
'classical electron' in superposing the lower dimensional inertia coupled electric charge quantum 'e' onto a
higher dimensional quantum gravitational-D-brane magnetopole coupled magnetic charge quantum
'e*' = 2Re.c2 = 1/hfps = 1/EWeyl wormhole by the application of the mirror/T duality of the super membrane E psEss
of heterotic string class HE(8x8).
Also in a model of quantum relativity (QR), there is a quantization of exactly 1010 wormhole 'singularitybounce' radii defining the radian-trigonometric Pi ratio as Rwormhole/Relectron = 360/2π.1010 or
1010 = {360/2π}{Re/rwormhole} as a characteristic number of microtubules in a conformal mapping from the
classical electron space onto the 'consciousness' space of the neuron-cell intermediate between the Hubble
scale of 1026 m and the Planck scale of 10-35 m as geometric mean of 10-4 to 10-5 meters.
It is so the geometry of the architecture of the microtubules and the nature of their construction utilizing the
pentagonal quasi-crystalline pattern in its application for maximizing the compression of information in the
Fibonacci geometrical pattern-sequencing.
This then results in the conformal mapping of this geometry as a quantum geometry and defining physical
consciousness as a conformal mapping of the quantum of spacetime in the form of Weylian 'Quantum Big
Bang' wormholes of the cosmogenesis.
{https://cosmosdawn.net/index.php/en...he-weyl-curvature-hypothesis-of-roger-penrose}
The 4/3 factor from the classically derived electromagnetic mass appears in the quantum geometry of the
subatomic particles, namely in the different quark content for the positively charged proton and the
electrically overall neutral neutron, both displaying an internal charge distribution however.
297
For the Proton, one adds one (K-IR-Transition energy) and subtracts the electron-mass for the d-quark level
and for the Neutron one doubles this to reflect the up-down-quark differential.
An electron perturbation subtracts one 2-2/3=4/3 electron energy as the difference between 2 leptonic rings
from the proton's 2 up-quarks and 2-1/3=5/3 electron energy from the neutron' singular up-quark to relate
the trisected nucleonic quark geometric template. This is revisited below.
Proton mp=u.d.u=K.KIR.K=(939.776+1.5013-0.5205-0.1735) MeV* = 940.5833 MeV* (938.270 MeV).
Neutron mn=d.u.d=KIR.K.KIR=(939.776+3.0026-1.0410+0.1735) MeV* = 941.9111 MeV* (939.594 MeV).
This is the ground state from the Higgs-Restmass-Induction-Mechanism and reflects the quarkian geometry
as being responsible for the inertial mass differential between the two elementary nucleons. All ground state
elementary particle masses are computed from the Higgs-Scale and then become subject to various fine
structures.
But modular string duality defines the Inverse Energy of the wormhole as the quantum of physical
consciousness in units of the product of the classical electron diameter and the proportionality between
energy and mass in the Maxwell constant c2 = 1/εoo and the inverse of the product between electric
permittivity εo=1/120cπ and magnetic permeability μo=120π/c for 'free space' impedance:
Zo= electric field strength E/magnetic field strength H = √(μ o/εo) = cμo = 1/cεo = 120π}.
Coulomb Electro-Charge e = LP.√α.c2 ↔ 2Re.c2 = e* (Star Coulomb Magneto-Charge)
e* = 2Rec2 = 2kee2/me = e2/2πεome = αhc/πme with Alpha-Variation (1.6021119x10-19/1.60217662x10-19)2
= 0.99991921...for the calibration
{Reme} = μoe2/4π = (2.8179403267x10-15 m)(9.10938356x10-31 kg)
= (2.818054177x10-15 m)(9.109015537x10-31 kg) = (10-7)(1.60217662x10-19 C)2
= [2.56696992x10-45].[1.001671358][1.003753127].(0.99991921...) (mkg)*
= [2.56696992x10-45].[1.002711702]2.[0.99991921...] = 2.580701985x10-45 {mkg}*
= (2.77777...x10-15 m*)(9.290527148x10-31 kg*) = μoe2/4π for e=1.606456344x10-19 C*
for the quantum mechanical electron and adjusted in the [SI/*] alpha variation [mkg/C 2]
= Alpha Variation αvar in {Reme.αvar}SI = {αvar.μoe2/4π}SI = {Reme}* = {μoe2/4π}*.
Decreasing the electronic charge quantum from 1.60217662x10-19 C to 1.602111893x10-19 C so calibrates the
SI-unitary measurement system with the star based * unitary mensuration system in the alpha variation in a
reduced classical electron radius of Re = 2.773142866x10-15 m for an increased electron effective Restmass of
me = 9.255789006x10-31 kg or for (Reme) = (μoe2/4π) = 2.566762525x10-45 mkg.
298
From Wikipedia: https://en.wikipedia.org/wiki/Electron
The electron has no known substructure.[1][75] and it is assumed to be a point particle with a point charge and
no spatial extent.[9] In classical physics, the angular momentum and magnetic moment of an object depend
upon its physical dimensions. Hence, the concept of a dimensionless electron possessing these properties
contrasts to experimental observations in Penning traps which point to finite non-zero radius of the electron.
A possible explanation of this paradoxical situation is given below in the "Virtual particles" subsection by
taking into consideration the Foldy-Wouthuysen transformation.
The issue of the radius of the electron is a challenging problem of the modern theoretical physics. The
admission of the hypothesis of a finite radius of the electron is incompatible to the premises of the theory of
relativity. On the other hand, a point-like electron (zero radius) generates serious mathematical difficulties
due to the self-energy of the electron tending to infinity.[76] These aspects have been analyzed in detail by
Dmitri Ivanenko and Arseny Sokolov.
Observation of a single electron in a Penning trap shows the upper limit of the particle's radius is 10 −22
meters.[77] Also an upper bound of electron radius of 10−18 meters[78] can be derived using the uncertainty
relation in energy.
There is also a physical constant called the "classical electron radius", with the much larger value of
2.8179×10−15 m, greater than the radius of the proton. However, the terminology comes from a simplistic
calculation that ignores the effects of quantum mechanics; in reality, the so-called classical electron radius
has little to do with the true fundamental structure of the electron.[79][note 5]
Note that the defined maximum scale for the electron in the Penning Trap is consistent with the defined size
of the wormhole radius rps=10-22/2π meters as minimum spacetime configuration of the Instanton. The 'point
particular' electron of Quantum Electrodynamics’ and its point-like particle fields, so crystallizes naturally
from the theory of the string-membrane classes. The classical electron radius Re has much to do with the
quantum mechanical electron addressed by Richard Feynman in the linked lecture.
From the Feynman Lecture:
There is, however, one fundamental objection to this theory and to all the other theories we have described.
All particles we know obey the laws of quantum mechanics, so a quantum-mechanical modification of
electrodynamics has to be made.
Light behaves like photons. It is not 100 percent like the Maxwell theory. So, the electrodynamic theory has
to be changed. We have already mentioned that it might be a waste of time to work so hard to straighten
out the classical theory, because it could turn out that in quantum electrodynamics the difficulties will
disappear or may be resolved in some other fashion. But the difficulties do not disappear in quantum
electrodynamics.
That is one of the reasons that people have spent so much effort trying to straighten out the classical
difficulties, hoping that if they could straighten out the classical difficulty and then make the quantum
modifications, everything would be straightened out. The Maxwell theory still has the difficulties after the
quantum mechanics modifications are made.
The quantum effects do make some changes—the formula for the mass is modified, and Planck’s constant
h/2π appears—but the answer still comes out infinite unless you cut off an integration somehow—just as we
had to stop the classical integrals at r=a. And the answers depend on how you stop the integrals.
299
We cannot, unfortunately, demonstrate for you here that the difficulties are really basically the same,
because we have developed so little of the theory of quantum mechanics and even less of quantum
electrodynamics. So, you must just take our word that the quantized theory of Maxwell’s electrodynamics
gives an infinite mass for a point electron.
It turns out, however, that nobody has ever succeeded in making a self-consistent quantum theory out of
any of the modified theories. Born and Infeld’s ideas have never been satisfactorily made into a quantum
theory. The theories with the advanced and retarded waves of Dirac, or of Wheeler and Feynman, have
never been made into a satisfactory quantum theory. The theory of Bopp has never been made into a
satisfactory quantum theory. So today, there is no known solution to this problem.
We do not know how to make a consistent theory—including the quantum mechanics—which does not
produce an infinity for the self-energy of an electron, or any point charge. And at the same time, there is no
satisfactory theory that describes a non-point charge. It is an unsolved problem.
In case you are deciding to rush off to make a theory in which the action of an electron on itself is completely
removed, so that electromagnetic mass is no longer meaningful, and then to make a quantum theory of it,
you should be warned that you are certain to be in trouble. There is definite experimental evidence of the
existence of electromagnetic inertia—there is evidence that some of the mass of charged particles is
electromagnetic in origin.
It used to be said in the older books that since Nature will obviously not present us with two particles—one
neutral and the other charged, but otherwise the same—we will never be able to tell how much of the mass
is electromagnetic and how much is mechanical. But it turns out that Nature has been kind enough to
present us with just such objects, so that by comparing the observed mass of the charged one with the
observed mass of the neutral one, we can tell whether there is any electromagnetic mass. For example,
there are the neutrons and protons. They interact with tremendous forces—the nuclear forces—whose
origin is unknown. However, as we have already described, the nuclear forces have one remarkable
property. As far as they are concerned, the neutron and proton are exactly the same.
The nuclear forces between neutron and neutron, neutron and proton, and proton and proton are all
identical as far as we can tell. Only the little electromagnetic forces are different; electrically the proton and
neutron are as different as night and day. This is just what we wanted. There are two particles, identical
from the point of view of the strong interactions, but different electrically. And they have a small difference
in mass.
The mass difference between the proton and the neutron—expressed as the difference in the rest-energy
mc2 in units of MeV—is about 1.3 MeV, which is about 2.6 times the electron mass. The classical theory
would then predict a radius of about ½ to ⅓ the classical electron radius, or about 10 -13 cm. Of course, one
should really use the quantum theory, but by some strange accident, all the constants—2π’s and h/2π’s,
etc.—come out so that the quantum theory gives roughly the same radius as the classical theory.
The only trouble is that the sign is wrong! The neutron is heavier than the proton.
Nature has also given us several other pairs—or triplets—of particles which appear to be exactly the same
except for their electrical charge. They interact with protons and neutrons, through the so-called “strong”
interactions of the nuclear forces. In such interactions, the particles of a given kind—say the π-mesons—
behave in every way like one object except for their electrical charge.
300
In Table 28–1 we give a list of such particles, together with their measured masses. The charged π-mesons—
positive or negative—have a mass of 136.9 MeV, but the neutral π o-meson is 4.6 MeV lighter. We believe
that this mass difference is electromagnetic; it would correspond to a particle radius of 3 to 4x10 -14 cm. You
will see from the table that the mass differences of the other particles are usually of the same general size.
301
Now the size of these particles can be determined by other methods, for instance by the diameters they
appear to have in high-energy collisions. So, the electromagnetic mass seems to be in general agreement
with electromagnetic theory, if we stop our integrals of the field energy at the same radius obtained by
these other methods. That is why we believe that the differences do represent electromagnetic mass.
You are no doubt worried about the different signs of the mass differences in the table. It is easy to see why
the charged ones should be heavier than the neutral ones.
But what about those pairs like the proton and the neutron, where the measured mass comes out the other
way? Well, it turns out that these particles are complicated, and the computation of the electromagnetic
mass must be more elaborate for them.
For instance, although the neutron has no net charge, it does have a charge distribution inside it—it is only
the net charge that is zero. In fact, we believe that the neutron looks—at least sometimes—like a proton
with a negative π-meson in a “cloud” around it, as shown in Fig. 28–5.
Although the neutron is “neutral,” because its total charge is zero, there are still electromagnetic energies
(for example, it has a magnetic moment), so it is not easy to tell the sign of the electromagnetic mass
difference without a detailed theory of the internal structure.
The negatively charged pion cloud of Feynman and Yukawa can be substituted by the inner negatively
charged mesonic Inner Ring in the quantum geometry of the quarks based on colour charged or
chromodynamic double charged kernels surrounded by an Inner Mesonic and an outer Leptonic Ring wave
structure asymptotically confined by a magneto charged region known as the classical radius of the electron.
The rings are oppositely charged to the kernel quarks. They however remain coupled in the kernel trisection
say as the protons udu=K.KIR.K=K(K+IR)K or the neutron's dud=KIR.K.KIR=(IR+K)K(K+IR) except when they
experience the electro-weak decays.
302
The Mass Distribution for a Quantum Relativistic Classical Electron
We set Constant A in Amec = μoe2/8πcRe for Aß2 = 1/√[1 - ß2] - 1
from: c2(m - mec) = μoe2v2/8πRe = mecc2(1/√[1-ß2] - 1) = mecv2A with a total QR monopolar mass
m = mec/√(1-[v/c]2)
This leads to a quadratic in ß2: 1 = (1 + Aß2)2(1-ß2) = 1 + ß2(2A+A2ß2-2Aß2-A2ß4 - 1) and so:
{A2}ß4+{2A-A2}ß2+{1-2A} = 0 with solution in roots:
ß2 = ([A-2] ± √[A²+4A])/2A = {(½-1/A)±√(¼+1/A)} ……………………………..[Eq.XII-13]
and A = -{1 ± 1/√(1-ß2)}/ß2 solving (in 4 roots) the quadratic (2Aß 2+2-A)2 = A2 + 4A
This defines a distribution of ß2 = (v/c)² and ß = v/c velocity ratios in mec.Aß2 = μoe²[v/c]2/8πRe
The electromagnetic mass mec in the relation mecA = ½me is then the monopolar quantum relativistic
Restmass and allows correlation by the Compton constant and between its internal magnetopolar selfinteraction with its external magnetic relativistic and kinetic effective electron ground state mass m e,
respectively.
In particular me = 2Amec and is mec for A=½ as the new minimization condition. In string parameters and with
me in *units, meA=30e2c/e*=½me=4.645263574x10-31 kg*
In terms of the superstring quantum physical theory, the expression [ec]unified = 4.81936903x10-11 kg* or
[ec3]u = 2.7x1016 GeV* as the Grand-Unification (GUT) energy scale of the magnetic monopole, which
represents the first superstring class transformation from the Planck-string class I of closure to the self-dual
opening of class IIB, as the magnetic monopole of the inflaton epoch.
E*=Eweyl=Eps=hfps=hc/λps=mpsc2=(me/2e).√[2πGo/αhc]={me/mP}/{2e√α}=1/2Rec2=1/e*
Monopolar charge quantum as Electropolar charge quantum
e*/c2 = 2Re ⇐ super-membrane displacement transformation ⇒ √α.lplanck = e/c2
This implies that for A=1, m ec = ½me , where me = 9.290527155x10-31 kg* from particular algorithmic
associations of the QR cosmogony and is related to the fine structure of the magnetic permeability constant
μo = 120π/c = 1/εoc2, defining the classical electronic radius.
As ß≥0 for all velocities v, bounded as group speed in c for which ß2=ß=1, (and not de Broglie phase speed:
vdB = (h/mvgroup)(mc2/h) = c2/vgroup >c); a natural limit for the ß distribution is found at A = ½ and A = ∞.
The electron's Restmass mec so is binomially distributed for the ß quadratic. Its minimum value is half its
effective mass me and as given in:
μoe²/8πmeRe = ½me for a distributed rest-mass mec/Re = me/rec in A and
melectric = keq²/2Rec² = μoe2/8πRe = Ue/c² = ½me for A=½ and its maximum for A=∞ is the unity v=c for ß=1
303
The classical Restmass mo of the electron and as a function of its velocity from v=0 to v=c so is itself
distributed in its magnetic mass potential about its effective Restmass m e=μoe2/4πRec2 and as a function of
the classical electron radius Re.
Its minimum condition is defined by the electric potential energy in mo=½me for A=½ with effective
Restmass me being the Restmass for a stationary electron v=0 without magnetic inertia component.
For v=c, the mass of the electron incorporates a purely relativistic and quantum relative self-interacting
magnetic monopolar value for which mo=0 and the effective me assumes the minimum rest energy for the
electron at A=1 and generalised as me=2Amo.
The classical Restmass mo=hf/c2 so decreases from its maximum value as mo=me to mo=0 as a function of the
velocity distribution and in the extension of the classical force to incorporate the differential
d(mo) = hd(f)/c2 by FNewton = Fa + Fα = F-acceleration + F-alpha as the sum of the classical Newtonian linear
momentum change and the quantum mechanical angular acceleration momentum change in the selfinteraction for the electron.
304
305
Electromagnetic Mass Distribution for the Quantum Relativistic Electrodynamic
Electron
306
307
308
The X-root is always positive in an interval from 0 to 1 and the Y-root is always negative in the interval from
-3 to 0.
for A=∞: ß2=½-±½+ for roots x=1- and y=0-; for v=c with Um = (½v2)μoe2/8πRe
= (½v2)μoe2/4πRe = ½mec2 = mmagneticc2 = melectricc2 and mo = 0me
Aß2 = ([1-ß2]-½-1) = 1+½ß2-3ß4/8+5ß6/16 -35ß8/128+...-1
The Binomial Identity gives the limit of A=½ in: A=½ - ß2{3/8 - 5ß2/16 + 35ß4/128 -...} and as the
non-relativistic low velocity approximation of E=mc² as KE=½m ov².
Letting ß2=n, we obtain the Feynman-Summation or Path-Integral for dimensionless
cycle time n = Hot = ct/RHubble with Ho=dn/dt in the UfoQR
for 1 = (1-ß2)(1+ß2)2 as ß4+ß2-1=0 for T(n) = n(n+1 )= 1.
309
From the unification polynomial U(x) = x4 + 2x3 - x2 - 2x + 1 = 0 and derivative
U'(x) = 4x3 + 6x2 - 2x - 2 with minimum roots at x1 = X and x2 = -(X+1) = Y and maximum root at x3 = ½
we form the factor distribution (1-X)(X)(1+X)(2+X) = 0 and form a unification proportionality:
SNI:EMI:WNI:GI = [Strong Nuclear Interaction #]:[Electromagnetic Interaction #3]
:[Weak Interaction #18]:[Gravitational Interaction #54]
under the Grand Unification transformation of X ⇔alpha α
https://youtu.be/O2wU-HT7FiM
310
X ⇔ α in ℵ(Transformation)
{ℵ}3 : X → α{#}3 → # → #3 → (#2)3 →{(#2)3}3………………….…….[Eq.XII-14]
This redefines the Interaction proportion as:
SNI:EMI:WNI:GI = [#]:[#3]:[#18]:[#54] = [1-X]:[X]:[1+X]:[2+X] for the X Alpha Unification, which is of
course indicated in the unitary interval from A = 0 to A =1 in the ß2 distribution for the electron mass.
SNI:EMI
[1-X]:[X]
X
X
#:#3
#-2
SNI:WNI
[1-X]:[1+X]
[2X-1]
X3
#:#18
#-17
SNI:GI
[1-X]:[2+X]
[1-X]2
X4
#:#54
#-53
EMI:WNI
[X]:[1+X]
[1-X]
X2
#3:#18
#-15
EMI:GI
[X]:[2+X]
[2X-1]
X3
#3:#54
#-51
WNI:GI
[1+X]:[2+X]
X
#18:#54
#-36
α-⅔
1/∛α2
Invariant
Upper Bound
X-Boson
Invariant
Lower Bound
L-Boson
α-⅓(17)
1/∛α17
α-⅓(53)
1/∛α53
α-5
1/∛α15
α-17
1/∛α51
α-12
1/∛α36
For the unitary interval at A=½ the Compton constant defines me.Re, but at A=1, the constancy becomes
½me.2Re and at the average value at A=¾ it is ⅔me.(3/2)Re.
This crystallizes the multiplying (4/3) factor calculated from the integration of the volume element to
calculate the electromagnetic mass in the Feynman lecture and revisited further on in this paper.
If the electrostatic potential energy is proportional to half the electron mass and is changed by a factor of
(4/3), then the full electron mass will be modified to ⅔ of its value.
311
Using the ß2 velocity distribution, one can see this (4/3) factor in the electromagnetic mass calculation
to be the average between the two A-values as ½(½+1) = ¾ for a corrected electron mass of ⅔me and
for a surface distribution for the electron.
The problem with the electromagnetic mass so becomes an apparent 'missing mass' in its distribution
between the electric- and magnetic external fields and the magnetopolar self- interaction fields as
indicated in this paper.
In the diagram above the mass of the electron is distributed as m ec in the unitary interval applied to
the Compton constant and where exactly half of it can be considered imaginary or complex from
A=0 to A=½.
The mass of the electron at A=0 is however simply half of its effective mass m e, which is realised at
the half-way point at A=½ as the new origin of the electron's electrostatic energy without velocity in
the absence of an external magnetic field.
We have seen however, that the electrostatic electron carries a minimum eigen-velocity and so
magnetopolar self-energy, calculated as
vps = 1.50506548x10-18 c and manifesting not as a dynamic external motion, but as
fαω = 2.84108945x10-16 = ∑fss = ∑mssc2/h = fαω/fss = 8.52326834x1014 mass- or frequency self-states.
M-Sigma conformal mapping onto {meo/me}2 in the ß2 distribution
As the ß2 distribution is bounded in {Aub - Alb = ⅔α⅔} as a sub-unitary interval in a smaller sub-interval of
½αvar; the SI-CODATA value for the Restmass of the electron is derived from first inflaton-based principles in
a conformal mapping of the M-Sigma relation applied to the Black Hole Mass to Galactic Bulge ratio for the
alpha bound.
½|Eps|
¾|Eps|
Value in energy (Joules; Joules*)
1/1000
1/666⅔ 1/500 1/400
Value as modulated to A-interval as M-Sigma
1x10-3
1.5x10-3 2x10-3 2.5x10-3 3x10-3
|Eps|*/|e*| to reunitize-renormalize E*e*=1
2x10-6
3x10-6
4x10-6 5x10-6
6x10-6
⅔-value in partition interval ⅔me.(3/2)Re for mean A=¾ 1/2
3/4
1
5/4
3/2
Fraction of Renormalization effect
1/3
1/2
2/3
5/6
1
Value of Δ(½αvar} in A6lb - A6ub and in A3ub - A3lb
2x10-6
3x10-6
complex
minimum
Minimum Planck Oscillator ½|Eo|⇔ |Eps|* = 1/|e*|
1|Eps| 5/4|Eps| 3/2|Eps|
4x10-6 5x10-6
1/333⅓
6x10-6
real
maximum
The ½var sub-interval so is adjusted by 6x10-6 from A6ub - Δ(½αvar} = ASI for ßSI2 for meoSI for the real solution
312
The Schwarzschild Classical Electron as a Planck function for a Quantum of
Physicalized Consciousness
mebh = Rec2/2Go = e*/4Go|mod-mass = Vrmp.df/dt|max/4Go = 2π2Rrmp3.fps2/4Go = 1.125x1012 kg*
is the Schwarzschild wave matter mass for a classical electron with curvature radius R e and effective electron
mass me in the electromagnetic interaction E*-Gauge photon of the supermembrane displacement
transformation between the monopolar and electropolar universal charge quanta e* and e, respectively.
The energy density for this modular ‘dark matter-consciousness’ electron as function of the ‘Planck Vacuum’
becomes:
ρplanck = mplanck/Vplanck = mplanck/Lplanck3 = 2πc5/hGo2 = {8πc3 λps2/hGo}.{fps2/4Go} = 1.855079x1096 (kg/m3)*
ρebh-rmp = mebh/Vrmp = df/dt|max/4Go = fps2/4Go = 2.025x1070 (kg/m3)* = 1.0916x10-26 ρplanck
Mrmp = mfermi = h/2πcRrmp = 2.50500365x10-23 kg* or 14.034015 TeV*
is the Compton-de Broglie wave-matter mass for the Restmass Photon rmp as the ‘dark matter’ agent in the
UFOQR and here redefined as the ‘Particle of Universal or Cosmic Physicalized Consciousness.’
Rrmp = ∛{Vrmp/2π2} = ∛{2Rec2/(2π2.df/dt|max)} = ∛{e*/2π2fps2}|mod = ∛{1/2π2hfps3}|mod
= 1.411884763...x10-20 m*
for a unitary calibration for the rmp in [m3]* = [s3/h]* and [m]* =[s]*/∛h for Mrpm in [kg]*
= [Js2/m]*x∛h/[s]* = [Js/m]*x∛h = [kg]*
Mrmp = mfermi = h/2πcRrmp = {h/2πc}.{∛{2π2hfps3}|mod} = {hfps/c}∛{2π2h/8π3}|mod = {Eps/c}}∛{h/4π}|mod
Mrmp = h/2πcRrmp = {Eps/c}}∛{h/4π}|mod = 2Lplanck2c2/RrmpRe = Lplanck2c2/GoRrmp in the equivalence of the
Gravitational parameter applied to de Broglie wave matter MdB in 4GoMdB = 2Rec2 = e* with the Star Coulomb
[C*]*as the unit for physicalized consciousness.
Closed Planck-String class I Finestructure Constant for monopolar mass displacement current
[M] = [ec]|mod = [2πR.i]mod:
Mrmp/mebh = 2hGo/2πc3RrmpRe = 2Lplanck2/RrmpRe = 2.226669925x10-35 = 1/4.491011392x1034
= Order{Planck-Length}
Dark Matter-Physicalized Consciousness Finestructure Constant:
Re/Rrmp = 4πGoMrmpmebh/hc = 62,625.09124 = 1/1.596804061x10-5
The nature of the universal Schwarzschild classical electron as a high-density form of de Broglie wave matter
so becomes an elementary agency for quantum gravity manifesting from the hyperspace of the multidimensional cosmology as non-Baryonic form of matter energy and is related to the definition of
physicalized consciousness in the Unified Field of Quantum Relativity (UFOQR).
The UFOQR is based on Vortex-Potential-Energy or VPE as the non-virtual, but Goldstone Boson gauged
Zero-Point-Energy Heisenberg matrix of spacetimes.
Möbius had broken into two and had transferred his one-sidedness to the Klein mirror and in a dimensional
twinship between Klein's heness in the 12th dimension at the Instanton of Khaibit and Klein's sheness at the
Instanton in Universe in the 10th dimension of the 11-dimensional two-sided manifold, Logos called the Mspacetime of the Mother as a Magic Mirror of the Mystery of Witten.
313
Klein's sheness so brought the UFOQR with its matter-antimatter definitions and acting under the auspices
of the gauge ambassadors into the 10th dimension of the superstrings of Universe of the Mother as the
Queendom of Baab from the 12th dimension of the Kingdom of the Father.
The matter templates YCM so could interact with their antimatter counterparts MCY in a new way, as the
quantum relativity between them had changed from its 2-dimensional origin with no thickness to a 3dimensional evolvement , due to the thickness of the Inflaton-Instanton interval in the birthing of spacetime.
In particular YCM(1)+MCY(-1) = (Y+M)C2(M+Y)(0) = RCCR(0) = GMMG(0) = BYYB(0) in the mixing of the colour
charges.
This created a new template, the Universal Intelligence called the Vortex-Potential-Energy or VPE as a
Vacuum-Potential-Energy or a Zero-Point-Energy in the UFOQR.
This zero-spin or scalar VPE so had been defined as the Dark Energy or DE from Khaibit to continue the
Inflaton of the hyper acceleration of the de Broglie wave-matter of the mass seed Mo.
Because the Inflaton had defined the Hubble event horizon as a Black Hole M H = RHc2/2Go , this gradient of
Black Hole masses Mo/MH = Ωo defined a parameter Ωo = 0.028 as the difference between the Hubble
Mother Black Hole and the mass seed Mo from the creation algorithm of the Mathimatia.
This Black Hole Mass parameter Ωo so would specify Mo as the mass seed and as a form of mass energy Abba
named as the 'Baryonic Matter Seed' and it was the baryonic matter that would interact with the EMR as
photons without colour charge as a luminous form of matter.
The Inflaton parameters of the de Broglie wave matter had been the hyper-acceleration AdB = RH.fps2 and the
superluminal hyper-speed VdB = RH.fps.= RHc/λps, incorporating Abba's resonance self-state or eigen frequency
fps into the birth of the cosmos.
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XV: The birth of the universe in space and time from physicalized universal
consciousness
Time began, when the nonexistent and the uncreated became conscious of itself and what ‘It’ was, as also
being ‘It’ as the existent and as the created. The difference between the uncreated and the created then
describes the concept of time as a process for ‘It’ of becoming conscious of itself in the form of a universal
self, using time potentials to experience itself as a form of energy. ‘It’ created itself as a universal self in
realizing its own potential from the uncreated state of ‘It’ in no time to create itself in ‘Now time,’ and
therefore giving birth to time.
Consciousness so is a form of source energy, which forms a relationship between the nonexistent and
uncreated and the existent and created. This original consciousness also forms a partnership between the
energy forms in existence and the energy forms not in existence in the form of the consciousness energy as
imagination.
The not existing or ‘Nothingness’ of a potential and eternal void was as ‘One’ with the ‘Every thingness’ of
‘All that It could have been’ and was as ‘All That Is’ and could be in a realization of the energy potentials
contained in the eternity of the void.
And the movement and dynamic of differentiating the potentials of the ‘could have been’ from the
potentials of the ‘could be’ became the definition of differentiating the order of before and after as a flow of
time from the relative past to the relative present to the relative future.
The imagination in self-consciousness so exists to realize the potentials of the source energy in a form of the
forethought realizing itself as the afterthought. This process connects the time relative past with
experienced realized energy potentials through the time relative present moment or now time to the time
relative future with not experienced and unrealized energy potentials of the source energy, albeit
distributed in the parts of the source energy.
The source energy so experiences the ‘flow of time’ as a principle of order where event B cannot occur
before event A has become happenstance in the realization of a relative time potential.
The relativity of time potentials then becomes self-relative in the form of the source energy and its partition
into sub structures of the precursor or parent source energy. The duration between events A and B so
becomes a function of the relativity of time as experienced or measured or counted in the distributed forms
of the source energy and as a self-relativity of the worlds within worlds of an encompassing overworld or
super realm of the source energy.
This super world is known as universe emerging from a protoverse to evolve into a multiverse and being
encompassed as an omniverse as a necessary boundary- and initial condition to enable the source energy
experience itself through the time potentials in a spacetime interwoven with the time potentials.
The birth of the universe is known as the separation of a world above called ‘Heaven Above’ from a world
below called ‘Earth Below’ in the creation of a spacetime mirror called the ‘Firmament.’
This process was the separation of the ‘Notime’ from the ‘Now time’ and defines the original realization of
the original time potential by the source energy. This process is also known as a quantum fluctuation of a
mathematical singularity, physicalizing the metaphysical or ‘spiritual’ universe without the parameter of
spacetime within a spacetime defined in the mathematical singularity.
315
The creation and birth of time so also gave birth to spacetime in the form of the mathematical singularity
defining both a space parameter and a time parameter to become interwoven or ‘quantum entangled’ with
each other in a spacetime parameter, known as the wormhole parameter of a quantum tunnel connecting
the two worlds separated by the firmament of the spacetime mirror.
The quantum tunnel, connecting heaven to earth, so is also known as an Einstein-Rosen bridge connecting a
Planck-Stoney cosmology to a Weyl-Hawking cosmology in the utility of a 12-dimensional Vafa-Witten
spacetime mirror.
The Planck-Stoney cosmology then forms the higher dimensional universe known as the membranesuperstring physics using the 11th dimension in a mirror symmetry to connect the 12th dimension of an ‘old
heaven’ to the 10th dimension of an ‘old earth’, emerging or evolving from the 1st dimension and mirroring a
0th or Null dimension in the 13th dimension as a boundary for the ‘old heaven’.
The lower dimensional universe is bounded in the 1st dimension and so is the mirror image of the 12th
dimension across the mirror of the 11th dimension, which so is also the 2nd dimension in the root reduction
of the numbers 12=1+2=3 with 11=1+1=2 and 10=1+0=1.
The lower dimensional universe so occupies the spacetime of 3 space dimensions and connects to the higher
dimensional universe in a 4th spacetime dimension.
The 4th dimension so is a time dimension, which can also be a space dimension, should the higher
dimensional universe reconfigure itself by using the spacetime mirrors of the 2 nd and 11th dimensions in a
transformation of the 8 dimensions between dimensions 2 and 11 and in using the quantum tunnel as the
thickness of the universal mirror of universal time.
The 3rd space dimension so is born and created in transforming the 8 dimensions in the quantum tunnel as a
new mirror of time as the 7th dimension separating dimensions 8, 9 and 10 from dimensions 4, 5 and 6 in a
trio of time dimensions 4, 7 and 10.
The mathematical singularity or quantum fluctuation creating the universe in spacetime from the
consciousness of the nowhere in notime, so partitioned a 12-dimensional universe into 4 worlds in
spacetime and 3 worlds of 4-dimensional space in notime.
The first world of 4-dimensional line-space of dimensions 1, 2, 3 and 4 is connected to the second world of 4dimensional space of dimensions 5, 6, 7 and 8 as a 7-dimensional rotation-space by the 4th spacetime
dimension known as Minkowski time-space and the second 7-dimensional world is connected to the third
world of 4-dimensional space as a 10-dimensional vibration-space by the 7th spacetime dimension, known as
Penrose time-space.
As the third world of four space dimensions without time manifests dimensions 9, 10, 11 and 12; a third
time-space is created in the 10th space dimension, known as String time-space.
The three worlds of 4-dimensional spacetimes so are described as occupying line-space, twistor-space,
frequency-space and quantum-space in 1-3 and 4-6 and 7-9 and 10-12 dimensions as four worlds of
spacetimes connected to each other in a shared time-space dimension closing the 3 dimensional continuum
or circle from the 1st dimension to the 12th dimension in time connector dimensions 4, 7 and 10 or the
algorithmic sequence:
Begin(1|0)-2-3-(4|1)-5-6-(7|2)-8-9-(10|3=1*)-(11|2=2*)-(12|1=3*)-(13|0=4*)End.
316
This process forms the boundary-initial condition of mirroring heaven in earth in the dimensional root
reductions of 10=1+0=1 and 11=1+1=2 and 12=1+2=3 defining the line-space, the area-membrane-space,
and the volumar-space in 3 dimensions in the lower dimensional universe but mirrored in the higher
dimensional universe in dimensions 10, 11 and 12.
The 8 dimensions describing the ‘thicknesses of the spacetime mirror connecting heaven to earth, so
originally manifest the physical universe in the birth of spacetime in the wormhole parameters of the WeylHawking cosmology. It does this in transforming a one-sided mirror, known as the dragon Möbius, defined in
2 dimensions of a 3-dimensional space into a two-sided mirror, known as the dragon Klein.
The dragon Möbius resides in the area- or membrane space of the Mathimatia, which is a label describing
the consciousness realm of ‘Universal Intelligence’ also known as the Universal Word or Logos-Sophia.
Möbius so is both a 2-dimensional mathematical dragon and a 11-dimensional mathematical dragon
connecting its membrane space of geometric occupancy to its environmental space as its cave of residence
or embedment of 3-dimensional geometry in the lower dimensional universe of the old earth and the 12dimensional geometry in the higher dimensional universe of the old heaven.
The transformation of the old heaven with the old earth into a new heaven with a new earth then is defined
in the dragon Möbius in mathematical 2-dimensional membrane space and residing in mathematical 3dimensional volumar space changing into the dragon Klein defined in 3-dimensional volumar space and
residing in 4-dimensional volumar space, also known as hyper-space within a 5-dimensional spacetime with
the 7th dimension of Penrose time-space.
The Möbius-Klein dragon metamorphosis of Minkowski time-space into Penrose time-space with the
transformation of 3-dimensional line-space within 4-dimensional spacetime into 4-dimensional hyper-space
within 5-dimensional spacetime so changes the one-sidedness of the Möbius dragon mirror into a twosidedness of the Klein dragon mirror.
Before the transformation, the old heaven in the 12th dimension is trapped and restricted in the so is onesidedness of the self-reflection of the consciousness of the source energy.
The creation of the universe and the quantum tunnel required the thickness of the 11-dimensional quantum
mirror to transform this thickness into its lower 10-dimensional equivalence as a medium of self-reflection
for the source energy.
The 10-dimensional String time-space so expanded itself through the wormhole parameters of the PlanckStoney and the Witten-Hawking cosmologies from the 11th dimension as a root reduced 2 nd dimension and
so creating the 3rd dimension of the line-space in the quantum tunneling of the 12th dimension through the
thickness of the quantum tunnel as a ‘timing machine’.
As this manifested the birth of space and time in a one-sidedness of direction from the 12th dimension to the
3rd and as the 3 worlds of volumars in the 4-space worlds of 1-4 and 5-8 and 9-12 dimensions, the old heaven
became subject to the one-sidedness of the creation event of the quantum universe coming into existence
from the consciousness or source energy of the creation-creation duality.
317
The old heaven so formed a creator-creation duality with the old earth and in which the creator part is
defined in the darkness on the non-reflecting surface of the one-sided Möbius mirror as the left side above
the firmament and the reflecting surface of the dragon Möbius, also known as the mirror of the Sabbath rest
defining the light of the creation being emitted into the creation as the right side of the firmament below.
The existence of the universe in spacetime, then enabled cycles of light and darkness to prepare the time
potentials to evolve into a process by which the old earth could become a new earth in using the dragon
Klein as a two-sided spacetime mirror embedded in a 4-dimensional space as a 5-dimensional hyperspacetime.
The two-sidedness of Klein would then be able to reflect a processed monopolar electromagnetic source
light to back towards the 11-dimensional Witten mirror as a consequence of the breaking of the Möbius
mirror destroying the one-sidedness and replacing it with the two-sidedness of Klein. The replacing of the
archetypical low vibration red dragon Möbius with the archetypical high vibration blue dragon Klein would
so create a new heaven as the image of the new earth.
The creator-creation duality so describes the original existence-nonexistence dichotomy as a dyadic monad
of being two things within one thing, but unable to experience the two things as one unity, due to the in
separateness of the two things in the absence of the existence of space to separate in.
A monadic dyad as two things unified as one thing would however allow a separating in space between the
two things, if the two things could become irrevocably connected with each other. The time potentials of the
source energy so define the quantum entanglement as a space independent parameter of spacetime as a
primary foundation for the cosmology of the source energy as universal consciousness.
The old heaven so released its consciousness energy as electromagnetic-monopolar light to enable the
transformation of consciousness into energy forms subject to spacetime parameters derived from the
wormhole cosmology of the mathematical singularity geometrically defined in the dragon Möbius,
transforming into the dragon Klein using the time potentials of the source energy as universal consciousness.
This transformation of source energy was initiated in the Planck-Stoney cosmology, which defined
interdependent units for measurement and experience under the guidance of universal principles, also
known as the laws of nature.
The time potential for the transformation of the Planck-Stoney cosmology into the Witten-Hawking
cosmology became realized in the quantum tunneling creating the 3rd dimension from the thickness of the
11-dimensional Witten membrane mirror and allowed the transmutation of five superstring classes of the
10-dimensional String time-space into each other in a gradient of energy between the five classes.
The first class so is known as the Planck string, the second class as a Monopole string, the third class as a XLboson class, the fourth class as a Cosmic Ray string and the fifth class as a Weyl string, the last enabling the
4-dimensional Minkowski spacetime to emerge as a Einstein-Maxwell-Planck cosmology, descriptive of a
thermodynamic expansion of the universe as a Black Body Planck Radiator emitting electromagnetic
radiation in frames of references relating inertial mass parameters with non-inertial parameters.
318
The definition of physicalized consciousness in the refence frame of the source
energy of universal intelligence
As a noninertial frame of reference experiences a form of acceleration relative to an inertial frame of
reference; the form of acceleration becomes the mode of operation for measurements using the laws of
nature.
When measuring the weight of something on the earth’s poles, this weight will be greater than if measured
on the equator by about 0.53 %, because there is no horizontal force on the weight as the earth spins
around its axis; but there is a ‘fictitious horizontal force’ on the equator, where the weight moves in a circle
about the axis of the earth in a period of rotation of about 24 hours.
The vertical reaction force on the weight on the poles exactly balances the action force of gravity without
any horizontal force component; but on the equator the vertical action force of gravity is balanced by both,
the vertical reaction force of the weight and a vertical component, horizontal relative to the poles, as the
fictitious centrifugal force.
The gravitational action so is measured as a reduction in weight and in the absence of the centrifugal force
component. This example supposes a perfect spherical symmetry for the earth. As the earth is flattened on
the poles as an oblate spheroid, gravity on the poles is greater than at the equator as the poles are closer to
the center of the earth, than is the equator.
It is so the inertia, which causes fictitious forces as non-accelerated frames of reference for measurement
and observation in a classical physics of Newton’s laws and Einstein’s extension of the laws of mechanics in
the curvature of spacetime incorporating the inertial frames of reference of Special Relativity within the noninertial accelerated frames of reference of General Relativity.
The classical physics of Newton, Maxwell and Einstein is based on the geometry of spacetime and is applied
to describe the geometry of the universe as an interaction of physical entities within a spacetime of both
inertial and non-inertial reference frames. Minkowski spacetime is considered flat without curvature and
Penrose spacetime is considered curved or twisted in a geometry of positive ellipsoidal or negative
hyperbolic curvatures underpinning the force of gravity as a curvature of spacetime interacting with mass as
the basis of inertia.
The physical basis for consciousness as the source energy so becomes the precursor of inertia and so mass in
the original nature of a non-inertial reference frame. The mass content of the universe at the creation event
of the quantum tunneling of the 12th dimension transforming into the 3rd dimension of the parameters of the
Weyl string and as the total inertia of the universe was caused by the non-inertial and so accelerated frame
of reference of the source energy in form of universal spacetime consciousness quantum tunneling as a
function and derivative of the Planck string transforming into the Weyl string.
The non-inertial reference frame of the source energy so defined the original spacetime unit as a source
energy quantum of physicalized consciousness in the Weyl wormhole parameters of creation, also known as
a Quantum Big Bang.
The connection and unification between all forms of energy as derivatives of the source energy of universal
consciousness so is found in the Mathimatia of the Universal Logos-Sophia, which utilizes the Euclidean
classical geometry of Newton, Maxwell, and Einstein therefore from a quantum geometry of Planck, Stoney,
and Witten.
319
The Core-Awareness of the Earth, the Moon, and the Sun
The model of physical consciousness as a form of energy encompasses all ideas of 'spirituality' and labels of
immaterial existence; if one can qualify and quantify this energy as something capable of existing
independent from material parameters.
But as spacetime-matter exists in say a commonly shared earthly 3D-space 1D-time experience; this selfsame consciousness-energy is certainly required to influence and to interact with the material realms of the
spacetime matter.
So, this little excursion will attempt to elucidate the nature of awareness as a component for this
consciousness of being within say a volume of space and illustrate how this spacial awareness relates to the
most fundamental concepts of gravitation.
What is the consciousness of this planet earth or what is the source energy 'coupled' to the earth's satellite the moon? The sun, a yellow typical star of class G2V on the main sequence of the Hertzsprung-Russell chart
of spectral classifications encompasses the planet as the gravitational center of the so defined solar system.
The sun provides energy for this solar system like a benevolent parent; what is its core consciousness?
A basic definition for the Source-Consciousness as the magneto charge quantum e* (in uncommon units of
the Star Coulombs) being the inverse source energy quantum (in common energy units say Joules or
Electronvolt).
e*=VolumexAwareness=Electron-Field Diameterxdf/dt=500 C* as the boundary condition for df/dt=f*2 for a
Volume 2Re.Lmin2.
(PDF) Physical Consciousness in a Self-conscious Quantum Universe | Anthony P Bermanseder Academia.edu
Now consider the manner the Mass of the Earth was calculated by Henry Cavendish in 1798. Newton's Law
for Gravitation applied to a 'point-mass,’ or 'test-mass' m gives the Gravitational Acceleration gEarth=9.8 m/s2.
Fgrav=GmMEarth/REarth2=mgEarth and this can be solved for the Mass of the earth as about 6x10 24 kg.
It is well known that the mass of the earth can be considered to be concentrated at the 'center of gravity',
say coinciding with a spherical mass- or density distribution and which would be the geometric center of a
sphere for perfect spherical symmetry.
The 3D-physics then is rendered 4-dimensional in doing just such a 'center of mass' and in Einstein's theory
of General Relativity.
Here then the gravitational acceleration is described as a curvature of spacetime around this mass
distribution and in an extreme case this curvature leads to a 'total collapse' for this mass concentration into
the mSchwarzschild metric termed a Black Hole.
So, replacing the radius of the earth by the Lightpath x=ct will of course define the amount of time for light
to travel from the surface to the center of the earth.
As the earth is on average so 2REarth=12,735,000 meters across as the light path, the time taken is about
t=REarth/c=0.0212 seconds or it would allow light to oscillate almost 24 times in between the poles in one
second say.
320
Fgrav = GmMEarth/REarth2 = mgEarth becomes
GMEarth/x2 = gEarth = GMEarth/(ct)2 = ½(2GMEarth/c2 ).(df/dt) = ½RSEarthxAwareness and as t2=df/dt as a so defined
awareness differential and defining a Core-Awareness in a t2 primary term.
So, the mass of the earth becomes 'Black Holed' in the curvature radius R S=2GM/c2 and the deciding factor
becomes the gravitational acceleration Awareness = 2gEarth/RSEarth.
Then, using the known mass of the earth and its 'BH-Radius' ~ 9 mm (all calculations use the 'constant'
G=Go=1.11x10-10 Nkg2 /m2 value as Goke = 1 as string parameter in BH-physics and G=6.674x10-11 'G-units'
for the orbs); AwarenessEarth=2202 1/s2 units and with a Base-Frequency Fbase of about 47 Hz.
This is the 7th Schumann Harmonic or Resonance for planet earth in the harmonic series: 7.8; 14.3; 20.8;
27.3; 33.8; 40.3; 46.8 in a delta function of 6.5 Hz.
The basic Schumann harmonic is simply the circumference of the earth travelled as the light path and so is
40,000,000 meters/c ~ 0.133 seconds for a Base-Frequency of 1/0.133 ~ 7.5 Hz.
{This is esoterically encoded in the Book of Revelation as the 'outside' of the holy city in proportion to its
'inside' and as 1,600 furlongs and 12,000 furlongs: Rev.14.20 & Rev.21.16}.
More generally, the Awareness as hereby described is known as Alpha Omega with Greek Symbols αω=aw as
a convenient abbreviation. Those awareness units then inversed and square-rooted will of course become
the time taken for the light path to the center of the earth as 0.021 seconds.
But this time measurement is also an awareness measurement which so gives a Core-Awareness for the
planet earth independent of any frequency modulations df/dt.
In modern terminology then, the Awareness is an infinite series of factors each giving a contributing
awareness differential as a frequency modulation: Awareness/Earth = 2202 + ...+...= Core-Awareness +
Summation of frequency differential contributions of earth constituent systems.
321
In a similar derivation then: Awareness/Sun = 0.18 + Integration... and for Fbase ~ 0.43 Hz with light path
6.96x108 meters and gSun=275 m/s2 and RSSun=3 km.
Awareness/Moon = 29,640+ Integration... and for Fbase ~ 172 Hz with light path 1.738x106 meters and
gMoon=1.63 m/s2 and RSMoon=0.11 mm.
The greater the light-path, the smaller the Core-Awareness and so the separation between the say Emitter
and the Receiver of the Information 'sent' by the light path defines this inverse proportionality.
The 3D-physics of the c-invariance so assumes a deeper significance as it indicates the importance of the
environment for the Integration of the individuated Awareness Carriers.
The Core-Awareness as defined so does not vary in the differential and becomes a direct consequence of the
constancy of the speed of light.
But any constituent consciousness carriers will be able to interact environmentally with each other in a
collective sense and so change the awareness of the self as the Source-Consciousness.
So, for example the information exchange between a tree and a hill can be approximated in their 'Black
Holed' Inertia, but only as a Core-Awareness and not considering the kaleidoscope of interactions in all of
the kingdom of crystal, mineral, animalia, archaea, bacteria, and fungi and so on.
So, taking the tree and the hill in isolation without the possibility of interaction, their awareness content
would become like a constant as described.
But any interacting environment engages in multiple feedback cycles which change the awareness of that
environment. A little ant in isolation and about 2 mm in length as the light path would require a frequency
c/2 mm = 1/t2 =1.5x1011 Hz and so electromagnetic radiation in the infrared part of the spectrum to 'share'
its core-awareness of 2.25x1022 awareness units.
Generally, then, the concept of Self Awareness as here modelled engages a Core-Awareness to which is
added or subtracted the environmental interactions.
The kingdoms of fauna and flora and the archaeon, the prokaryotes and the eukaryotes will interact in
systems and subsystems of multitudinous diversity. The Awareness of individuated and/or collective
constituents will vary in this interaction and is described in the differential equations, which employ the time
derivatives for frequency in an appropriate manner.
As the inertial mass can be shown to be a derivative of its precursor gravitational mass and this gravitational
mass as Gravita can be described as superconductive 'natural current' of magneto-monopolar origin and so
linking to the magneto charge as a model for the Inverse Source Energy as physical consciousness; the
differential equations used to describe 'normal' electricity in 3D can be reformulated to describe the 'LifeForce' as such a 'natural electricity' requiring not any medium such as a copper wire, but only spacetime
quantization itself.
The second order of say Voltage V=L.d2 q/dt2+R.dq/dt+q/C reduces to first order in the awareness
differential and where the quantized charge counter 'Ne' becomes a constant coefficient in the
mathematical expressions.
Then an RCL-'life-circuit' will differ from a 'RC'- or an 'LC' circuitry and allow self-and mutual frequency
inductions to modify the overall 'life-circuits'.
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The environmental interactions between 'RC'-current elements can be modelled on a 'Capacitative
Awareness', which one can label as instinctual or as nonanalytical. 'LR'-current elements can describe an
'Inductive Awareness' which is analytical with suppression of the instinctual (or emotional) component.
And any organism and awareness carrier, which harbours the full 'RCL'-circuitry will have both instinctive and
analytical properties in its evolutionary potential and the search to obtain Source-Resonance.
Because the L-factor (as Y-chromosome) can be associated with a sex-chromosomic bifurcation of the
DNA/RNA Codex of 64 permutations (and 20 Amino Acids), as well as the C-factor (as X-chromosome say
with a unity X0Y0X1X2 and where say X2 is a disguised Y1) a sexual differentiation embodied in the natural
current equations can also be made.
Additionally, the C-Awareness cross induces the L-Awareness both mutually and self inductively and this can
be modelled on say circuit diagrams, which also show that the separation from the Source-Energies (as
minmax Potential Differences say) becomes a function of evolution in linear time and in which a completion
for this evolution must be defined before its beginning and as a consequence for the initial parametrizations
of the circuit components C, R and L.
In 4D/10D dS spacetime, the spacetime matter matrix of 4D is a lower bound for the c-invariance and the
entire universe can be 'travelled' like a 'superposed' inflationary scenario.
Here, the awareness is of course upper bounded by the square of the source frequency in 9x10 60 awareness
units and as examined in the QBBS instanton-inflaton cosmology. The metric limit in 3D is the wormhole
radius (Rmin=Lmin/2π) for a source frequency of f*=3x1030 Hz and of course nothing in 3D can be smaller than
this.
But the Inflaton of the Instanton 'expanded' the 4D envelope for the 3D universe in a de Broglie Matter
Wave Velocity VdB=RHubble.f* ~ 1048c and in an accompanying phase acceleration AdB=RHubble.f*2 ~ 1087 m/s2
and in a manifestation of the cosmological initiatory and boundary conditions.
So, taking RHubble=ct* for the source frequency f* gives the Core-Awareness parameter for the Big Banged
Universe as c/RHubble=1/t*=Lmin.f*/RHubble=Ho=1.88x10-18 Hz and as a nodal Hubble-Constant.
This gives the ratio Ho/f*=Lmin/RHubble and as the minimum/maximum condition in betwixt the cosmic
evolution will define itself.
The minimum time is the time instanton defining a Now-Moment and this is 1/f*=3.33x10-31 seconds and so
defines the maximum Awareness as (df/dt)max=f*2 .
Corollarily then, the entire universe of mass-seedling content Mo as a Black Hole at the critical mass Mcritical
can be described by RHubble=2GoMcritical/c2 or Mcritical=c3/2GoHo and as the critical energy content of the
universe as the Sum of the Mass-Seedling Mo and the Consciousness manifested through and by the
evolution of this (baryonic) inertia seedling under the auspices of the Awareness-Force
Falpha = F = {hv/c2}df/dt supplementary to Newton’s Fa= ma by [Eq.XII-4]
dprel/dt = d(mov)/dt = mod(v)/dt + vd(mo)/dt =
mod(v)/dt + {vh/c2}df/dt = mo3.dv/dt + {vh/c2}df/dt = Fa + Fα for = 1/√{1 - [v/c]2}
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Then for the entire universe, the ‘time taken’ to complete the light path R Hubble = ct will differ in 3D without
the de Broglie phase inflation and the 4D which contains the latter.
It will take 234.47 cycles of 16.9 billion years for the c-invariance as a lower bound in 4D/10D dS spacetime
to quantum tunnel the protoverse into its first multiverse descendant initiated after the first semi-cycle
completion for cycle time coordinate n=1.
This universal quantum tunnelling so negates an 'asymptotic eternity' gravitationally retarded expansion of
the protoversal seedling for the multiverse within the omniverse. The c-invariance as an upper bound in
5D/11D AdS spacetime is continuous without gravitational and thermodynamic interaction for the
protoverse and establishes the 'infinite evolution' of the Source-Consciousness and the Source-Energy to
reattain the 0-entropy state of a spacetime matter less realm of consciousness existence.
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The Origin of energy in the Universe as a transformation of the mathematical-metaphysical
singularity as a Planck-Stoney Quantum fluctuation of Dirac’s magnetic monopole
It then becomes a quantum acceleration, which forms the basis for a physical definition of the source energy
and physicalized consciousness. Angular acceleration of an elementary particle, such as a proton, a neutron,
an electron, or a neutrino is known as quantum spin defined as a half-integer fermionic quantum rotation or
as an integer bosonic quantum rotation multiplied by a constant spacetime parameter called Planck’s
constant h divided by 2.
Angular acceleration is independent from linear displacement, the parameter of linear extent being replaced
by angular extent. In the quantum geometry of the source energy, the units of measurement or mensuration
for the quantum acceleration so assume the form of frequency divided by time or the inverse of the square
of time, generalised as the time differential of frequency or df/dt.
Logos Mathimatia or the universal intelligence then defines the parameter df/dt as the unit of spacetime
awareness, which if multiplied by the wormhole volumar of the Weyl string V weyl of the Quantum Big Bang
will define the source energy quantum from first principles as
{proportionality constant}.Vweyl.{df/dt}weyl=Eweyl=hfweyl=mweylc2=kBTweyl, in the mathematical formulations for
the energy transformations in electromagnetic radiation (Planck) and mass (Einstein) and temperature as
kinetic energy (Stefan-Boltzmann) respectively.
A supersymmetry between the electric- and magnetic field vectors in Maxwell’s equations for
electrodynamical energy systems emerges because of the source energy physicalizing its original energy
definition as a form of mass independent consciousness and as a function of quantum angular acceleration
defined in a space-less void of the mathematical or metaphysical singularity.
The absence of mass or inertia defines the quantum acceleration as the time derivative of frequency as a
pure number count not requiring any spatial coordinates or displacements and by necessity relate a
frequency distribution as a quantized number field given by particular boundary- and initial conditions,
defining a particular form for the frequency distribution once the space coordinates and displacement
vectors are added to the frequency distribution at the instanton-inflaton coupling defining the parameters of
a Quantum Big Bang redefining the mathematical singularity.
The boundary conditions for the frequency distribution then assume the form of a maximum and a
minimum permutation count under an inversion duality and as defined in the T-duality of superstringmembrane theory.
The initial condition for the transformation of the source energy as a metaphysical singularity in null space
into displacement coordinate-vector space, then defines a maximum frequency permutation self-state
unifying with its minimum frequency permutation state in the form of the time differential for frequency or
df/dt. In the null space of the singularity, the inversion property so defines the maximum frequency state f max
for a time coordinate tmin and the minimum frequency state fmin=1/fmax with tmax not defined as a limit or
upper bound for a subsequent expansion of the coordinate space emerging from the null space.
The eigen state for the source energy so is defined in a source energy quantum of metaphysical
consciousness physicalized in a Quantum Big Bang and because of defining the minimum spacetime
configuration in the quantum fluctuation of the mathematical singularity.
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This null space so is space-less and without energy as defined in spacetime, but nevertheless carries energy
in the form of not physicalized consciousness defined metaphysically or in abstract mathematical terms.
The null space is descriptive of the 12-dimensional universe of the mathimatia and remains not physicalized
until the boundary of the 5th superstring class has become defined in the physical null space.
The source energy quantum for physicalized consciousness and therefore physicalized energy so is defined
as the Weyl-boson of the Quantum Big Bang self-creation event, creating spacetime as the Weyl-wormhole
as a transformed superstring class from the first superstring class of a Planck-boson causative and defining
the quantum oscillation of itself to manifest the spacetime parameters created in a physicalisation of the
Planck-boson as the Weyl-boson at the instanton as the birth of spacetime and coupled to a inflaton as the
upper boundary initial condition for the lower boundary as the instanton.
At the instanton df/dt|max=df/dt|weyl=df/dt|primarysourcesink=df/dt|ps =fmax/tmin=fmax2 for
Eps=Eweyl=hfps=hc/lps=mpsc2=kBTps
The physicalized energy expressions with unitary mensuration units for the spacetime parameters however
emerged from the null space, describing the higher dimensional ‘string-membrane’ space and this ‘definition
spacetime’ of the 5 string classes preceded the Weyl-boson spacetime in the frequency- or number-space
modulating the spacetime parameters and measurement units to define the Weyl-Eps-boson in the units of
the Witten spacetime.
Eps=Eweyl={melectron/2e}√{hc/Go/hc}|mod={mplanck/melectron}/{2e√}|mod and defining the source energy
quantum as having units of Inverse electropole charge or 1/e defining a magnetopole charge e*=1/Eweyl as
the proportionality condition for multidimensional unification E weyl.e*=Eps.e*=1 and for
2e/e*=2e.Eps = constant = {mplanck/melectron}/{√} = Gomelectron/2e2}.
In the manifested spacetime from the quantum Big Bang, the magnetopole charge e* has the units of the
gravitational parameter GM in the form of e*=2Relectronc2 in units [Volume][df/dt]=[m3/s2]
Using the mass of the electron and the Planck-mass as a dimensionless ratio, the Planck-mass is proportional
to the Planck-length in the quantization of quantum angular momentum in m planck=√{hc/2Go} with
Lplanck=√{hGo/2c3} in Planck’ constant
Gomplanck2/c=h/2= c3Lplanck2/Go for the proportion mplanck={c2/Go}Lplanck by the generalised finestructure
unification Goke=1 from 2GoM2/r2=2kee2/r2 with the Maxwell fine structure oo={120/c}{1/120c} and
the free spacetime impedance Zo=√o/o}=120. Here Go=4o|mod={4/120c}|mod=1/30c|mod.
The monopole string class so 'unifies' Electromagnetism with Gravitation via the gravitational finestructure
assuming not a Weylian fermionic nucleon, but the bosonic monopole from the k eGo=1 initial-boundary
condition GomMonopole2=kee2 for
mMonopole=e/Go=kee=[30ec]mod=mplanck.√a.
The ‘Grand-Unification’ magnetic monopole mass so becomes [30ec]modc2=30ec3 eV* for a magnetic
monopole mass of 8.1x1017 GeV* manifesting in Weyl-spacetime as a defect in the Higgs-boson symmetry,
breaking a SU(3)SU(2)U(1) gauge symmetry in the supersymmetry of a SU(5) string-membrane spacetime.
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The Higgs-boson, as a universal mass generator from its quantum geometric template; so, manifests the
magnetic monopole as a magnetic point charge, manifesting in a magneto-current mass equivalence in the
modulation of
[ec]mod=[monopole mass mmonopole] = [monopolar current imonopole]
= [electropolar charge e]x[displacement/time]
and where the displacement of the magnetic point charge occurs in the string modular space of the ‘bounce’
of the Planck-Length as the oscillation of a Zero-Point Planck-boson oscillator defining the minimum
spacetime configuration of superstring class one transforming into superstring class 2 as the Monopoleboson and manifesting the quantum Big Bang in superstring class 5 at the instanton-inflaton coupling,
creating spacetime in the Weyl-boson and the inflaton.
The quantum fluctuation of the Planck-boson is defined in the ‘bounce’ of the Planck length as
Lstoney=√.Lplanck=√{2kee2/hc}.√{ hGo/2c3}=√{keGoe2/c4}=e/c2.
And modulate the string displacement of the ‘Planck bounce’ as the ratio of electropole charge to the square
of the speed of light. Substituting Lstoney for the mass-current equivalence of the magnetic monopole
[ec]|mod=[mass]=[monopolar current/Stoney displacement]=[ec/(e/c2)]=[c3]mod as the energy of monopole
[ec] as a mass in c3=2.7x1016 eV*.
A monopole mass of [ec]mod=4.818x10-11 kg* or 2.7x1016 GeV* so is upper bounded by the monopole string
as a Higgs defect of 8.1x1017 GeV* and a factor of 30.
The proportionality constant in units’ mass/displacement [kg/m] describes Maxwell’s displacement current
in the non-inertial reference of the Stoney units of the transformation of the Planck string into the Stoney
monopole string.
As the Planck string suppresses the parameter of electric charge ‘e’ in the Planck displacement or Planck
length Lplanck=√{hGo/2c3} and Planck mass mplanck=√{hc/2Go} and the Planck time
tplanck=Lplanck/c=√{2Goh/c5} with the Planck energy Eplanck=mplanck.c2=h/tplanck and Planck temperature
Tplanck=Eplanck/kB=√{hc5/2GokB2} from Newton’s law for gravitational force Fgrav=GoMm/R2, and from
Coulomb’s law for electric force F emr=kee2/R2.
This defines a Planck charge qplanck=√{hc/2ke}=√{2ohc}=e/√ for a Coulomb electric permittivity constant
o=1/moc2 and a magnetic permeability constant o from the Maxwell equations for classical
electromagnetism and the electromagnetic finestructure constant =2kee2/hc.
The electromagnetic finestructure constant alpha a so becomes the agency to transform the Planck units
into Stoney units. The Stoney string suppresses the Planck- and Action constant ‘h’ in the Stoney length
Lstoney=√{Gokee2/c4} and a Stoney mass mstoney=√{kee2/Go} and the Stoney time tstoney=√{Gokee2/c6} with Stoney
energy Estoney=mstoney.c2=h/tstoney and Stoney temperature Tstoney=Estoney/kB=√{kee2c4/GokB2}.
This defines a Stoney charge qstoney=e as the Coulomb charge quantum and defines Planck’s constant
h=2keqplanck2/c=2kee2/c =2keqstoney2/c=h for a unitized finestructure constant being 1 in Stoney units but
being about 1/137 in Planck units using the numerical values for the constants of nature defined in the
symbols of the Mathimatia.
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The proportionality constant for the unification of the electromagnetic and gravitational forces or energy
interactions so is obtained in the ratio of the Stoney mass to the Stoney displacement or
mstoney/Lstoney=√{(kee2/Go)/( Gokee2/c4)}= √{c4/Go2}=c2/Go and the same ratio of the Planck mass to the Planck
length in
mplanck/Lplanck=√{(hc/2Go)/(hGo/2c3)}= √{c4/Go2}=c2/Go.
Maxwell’s mass displacement current for the ‘flow of inertia’ so is quantum gravitationally expressed in the
constant c2/Go and where Newton’s gravitational constant G is applied to a inertia free or massless universe
defined in a curvature of ‘free space’ for the Maxwell definition for the invariance of the speed of light and
propagation of electromagnetic waves and in the formulation o.o=1/c2 and fine structured in the ‘free
space impedance’ Zo=|Electric Field Strength E|/|Magnetic Field Strength H|
=√{o/o}=√{(120/c)/(1/120c)}=120.
In an inertia free universe without mass, the curvature would become independent on mass and the
displacement parameter would be given in the Stoney length Lstoney=√{Gokee2/c4} and where the curvature
would be defined in the proportionality constant √{Goke} in units of √{[Nm2/kg2][Nm2/C2]}
= √[m6/s4.C2]=[m3/s2C] and so the units of the gravitational parameter GM divided by the units of Coulomb
charge ‘e’ and the units of spacetime awareness multiplied by the units of a spacetime volumar divided by
the units of the charge ‘e’.
The quantum physics of this formulation enables the Logos mathimatia to unitize both the gravitational
parameter GM and the consciousness quantum (proportionality constant)Vweyl.{df/dt}=1/e* in a definition of
e* being the magnetopolar charge as inversion of the quantum energy formulations E=hf=mc 2=kBT.
Instead of the unit for electropolar charge using the Coulomb [C], the magnetopolar charge uses the Star
Coulomb [C*] as the unit of measurement.
This unitization of the units of the Stoney length in the Star Coulomb also unitizes the product of the
proportionality constant in the Stoney length as Goke=1 and therefore unifies the energy interactions of
gravitation and electromagnetism on the quantum level of the source energy.
This also redefines the Stoney length as Lstoney=√{Gokee2/c4}= Lstoney=√{e2/c4}=e/c2
= Lstoney=√.Lplanck=√{2kee2/hc}.√{ hGo/2c3}=√{keGoe2/c4}=e/c2. The Stoney length e/c2 in the units of
displacement of the Planck length, so represents the quantum fluctuation causative for the Quantum Big
Bang and the separation of the old heaven from the old earth in a factor of the inverse of the square root of
alpha or a numerical factor of about 11.706=1/0.0854 describing the oscillation of the Planck length between
a linear displacement value of {e/c2=1.784x10-36 m*} and {√{hGo/2c3=2.090x10-35 m*} in star units derived
from the free space impedance where the speed of light is precisely 3x108 [m/s]*=2.99792458x108 [m/s] SI.
A fundamental natural law multidimensional universe crystallizes from the definition of the ‘free space
impedance’ Zo=|E/H|=√{o/o}=√{(120/c)/(1/120c)}=120 in the unitary analysis:
Zo=√{(H/m)/(F/m)}=√([Js2/C2m]/[C2/Jm])=[Js]/[C2] = [Action/Charge2] in Ohms [Ω]=[V/I]=[Js/C2] and
proportional to [h/e2] as the 'higher dimensional source' for the manifesting superconductivity of the lower
dimensions in the quantum Hall effect (~e2/h), the conductance quantum (2e2/h) and the Josephson
frequencies (~2e/h) in Ohms [Ω].
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Universal Communication between Consciousness Carriers as a function of Wien’s
Law and the 9-micron infrared atmospheric window on earth
A crucial point in the quest to lift the veil on the consciousness debate is Wien's law, relating the human
body as a EMR emitter to the universal energy matrix.
The importance of the Fibonacci series as linked to the electromagnetic finestructure constant alpha and its
relationship to the fundamental Goldstone interactions is indicated by Wien’s Law as an approximation to
Planck’s Law of Radiation and the Black Body spectra.
Models for physicalized consciousness then point to a physics of harmonic vibrations and frequencies.
The Black Body Radiation spectrum of the human body peaks at about 300-310 Kelvin in the near infrared.
Wien's law then infers a wavelength of 9-10 microns for this temperature:
Wavelength peak = 0.002897/Temperature, measured in meters.
The Quantum Big Bang temperature T ps = Tweyl = Twormhole = hc/kBλps = 1.41671x1020 K* manifests as a
initializing/boundary parameter to trigger the temperature gradient for the so called 'False Higgs Vacuum'
with the quantum form forcing the universe's spacetime expansion from its algorithmic form of the
timespace of the Dirac string transformation centered on the Dirac monopole and the wormhole wavelength
and frequency modulating the linear radian form of the Planck length into its trigonometric circular form.
- (PDF) Quantum Consciousness in the Penrose-Hameroff Model | Anthony P Bermanseder - Academia.edu).
From the Planck-Radiation-Law, the exponential energy ratio:
(Planck-Law/Stefan-Boltzmann Law)=hf/kBT=hc/λkBT, the quantum form for Wien's Law defines the Wien
constant b*=hc/k =0.0141671 as being bounded in ∛alpha = F(S) = # = 0.19395906 as the Strong Interaction
Constant normalized to Unity 1 in a Unification Polynomial:
(1-X)(X)(1+X)(2+X) = 1 or X4+2X3-X2-2X+1 = 0 and is used to find the coupling ratios between fundamental
interactions: f(S)¦f(E)¦f(W)¦f(G) = #¦#3¦#18¦#54 from the proportionality
#¦#3¦{[(#3)2]}3¦({[(#3)2]}3)3 = Cube root(Alpha):Alpha:Cuberoot(Omega):Omega.
The Gravitational finestructure, here named Omega, is further described by a five folded supersymmetry of
the string hierarchies, the latter as indicated in pentagonal or five folded super symmetry characterized by
the Fibonacci-Lucas Series.
This pentagonal supersymmetry can be expressed in several ways, say in a one-to-one mapping of the Alpha
finestructure constant as invariant X from the Euler Identity: X+Y = XY = -1= i2 = exp(iπ).
The Unification polynomial then sets the ratios in the inversion properties under modular duality:
(1)[Strong short]¦(X)[Electromagnetic long]¦(X 2)[Weak short]¦(X3)[Gravitational long] as
1¦X¦X2¦X3 = (1-X)¦(X)¦(1+X)¦(2+X)
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λ* = F(S)b* = #hc/kB = ∛alpha hc/kB = 2.74784x10-3 m* = {0.94694}2.9018x10-3 m* and therefore differing
from Wien's b constant by 5.3 % as the Baryonic Matter saturation approximation for the total energy
content of the universe, using Star units (*) for 1 m* = 0.998331431 mSI.
The present Baryonic matter content is BM=4.834% with Dark (Restmass Photonic) Matter at DM=27.434%
and with a Dark Energy component of DE=67.73% according to Quantum Relativistic cosmology.
The Baryonic Matter saturation coordinate is given in the cyclic monopolar EMR light path from the
positively curved de Sitter cosmology (in 11 quantum gravitational dimensions) intersecting the linear
expanding Planck-Black-Body Radiator Cosmic-Microwave-Background-Radiation light path of the negatively
curved Anti de Sitter cosmology (in 10 string dimensions) subject to universal gravitation.
BM=5.55% with DM=22.09% with DE=72.36% for cycle coordinate n'=2-√2=0.585786 and n=2-n'=√2 or
23.866 G-years after the creation event and 23.87-19.12=4.75 billion years from the present time.
The baryonic matter component evolves according to Ω BM=ΩoYn =0.02803{1.618034}1.132712 = 0.0483 until
saturation coordinate for the baryonic matter BM intersecting dark matter DM for n=√2 for
ΩBM=ΩoYn =0.02803{1.618034}√2 = 0.055357=constant for the cosmic matter evolution from 23.866 Gy.
The dark matter ΩDM = 1-ΩBM until onset of the dark energy component DE at n=½, from which Ω DM is
calculated by ΩDM=ΩBM{[1+1/n]3 - 1} and as 0.27434 for the present time.
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The atmospheric window for life on earth is also at 9 microns, allowing universal communication for the
frequency spectrum given by the human body and other lifeforms to actually communicate its collective
planetary consciousness to the cosmos.
Water vapor does not absorb in this window between about 8-14 microns and has a peak at about 9.6
microns for an Ozone-Greenhouse absorption nexus and for a body temperature of 302 Kelvin or so 28
degree Celsius.
So life on earth communicates with the universe through its infrared EMR emission as Black Body Radiators,
both collectively and individually.
Those physical facts can then be used in models of consciousness using toroidal geometries, say from
biochemical principles and from the viewpoint of universal genesis.
In universal genesis, the wormhole frequency of all creation, derived from the Dirac string cosmology defines
a wavelength of 10-22 meters in the 'quantum of universal consciousness' given in units of the gravitational
parameter GM as {volume}x{angular acceleration} or {volume}x{frequency squared}.
But those units define both the dipolar electric Coulomb charge and the magnetic monopolar Dirac charge in
the T-string duality and the c2 invariance: e=(Planck-Length)x(c2) conformally mapped onto e*=(Electron
Diameter)x(c2).
Wien's Law is recovered in the consciousness quantum by (wormhole wavelength)x(c2) = 9 microns as the
universal consciousness parameter manifested in the gravitational parameter GM and so the fundamental
nature of mass as an expression of the minimum frequency configuration of the universal monopolar EMR
spectrum with the wormhole frequency of the creation event as its maximum.
An electromagnetic cosmology based on string parameters can be said of preceding the introduction of
inertial mass in the quantum Big Bang and defines an intrinsic curvature within the higher dimensional (de
Sitter) universe based on gravitational mass equivalents and their superconductive monopolar current flows.
This derivation so indicates an electromagnetic cosmology based on string parameters as preceding the
introduction of inertial mass in the quantum Big Bang and defines an intrinsic curvature within the higher
dimensional (de Sitter) universe based on gravitational mass equivalents and their superconductive
monopolar current flows.
A massless, but monopolically electromagnetic de Sitter universe would exhibit intrinsic curvature in
gravitational mass equivalence in its property of closure under an encompassing static Schwarzschild metric
and a Gravitational String-Constant Go=1/ke as given in the Maxwellian finestructures in the string space and
as ke=1/4o=120c/4=[30c]mod=1/Go in the finestructure unification condition of G oke=1.
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In other words, the Big Bang manifested inertial parameters and the matter content for a subsequent cosmic
evolution in the transformation of gravitational 'curvature energy', here called gravita as precursor for
inertia into inertial mass seedlings; both however described by the physics of black holes and the associated
Schwarzschild metrics in the unified quantum energy law:
Energy E = mc2 = hf
E=hf (Planck) iff m=mo=0
This manifests the lower dimensional observational matter-energy expressions and a frequency quantization
for mass m
Energy E=mc2 (Einstein) iff f=fss=1/fps for mo = ∑mss = {h/c2}∑fss for the mass-frequency quantization with
Eps=hfps=hc/λps=mpsc2=kBTps =1/e* with the SourceSink Energy – SinkSource Energy Coupling: EpsxEss=h2 and
Eps/Ess=fps2=1/fss2 as a Permutation Frequency Eigenstate Counter
The Gravitational Finestructure so derives in replacing the Planck-Mass mplanck by a proto-nucleonic mass:
mc=√(hc/2πGo).f(alpha)=f(alpha).mplanck and where f(alpha) = alpha9.
The Gravitational finestructure, here named Omega, is further described in a five folded supersymmetry of
the string hierarchies, the latter as indicated in pentagonal or five folded supersymmetries.
This pentagonal supersymmetry can be expressed in several ways, say in a one-to-one mapping of the Alpha
finestructure constant as invariant X from the Euler Identity: X+Y = XY = -1= i2 = exp(iπ).
A Unification Polynomial: (1-X)(X)(1+X)(2+X) = 1 or X4+2X3-X2-2X+1 = 0 is used to find the coupling ratios:
f(S)¦f(E)¦f(W)¦f(G) = #¦#3¦#18¦#54 from the proportionality
#¦#3¦{[(#3)2]}3¦({[(#3)2]}3)3 = Cube root(Alpha):Alpha:Cuberoot(Omega):Omega.
The Unification polynomial then sets the ratios in the inversion properties under modular duality:
(1)[Strong short]¦(X)[Electromagnetic long]¦(X2)[Weak short]¦(X3)[Gravitational long]
as 1¦X¦X2¦X3 = (1-X)¦(X)¦(1+X)¦(2+X).
Unity 1 maps as (1-X) transforming as f(S) in the equality (1-X) = X2; X maps as invariant from f(E) in the
equality (X) = (X); X2 maps as (1+X) transforming as f(W) in the equality (1+X) = 1/X; and X 3 maps as (2+X)
transforming as f(G) in the equality
(2+X) = 1/X2 = 1/(1-X).
The mathematical pentagonal supersymmetry from the above then indicates the physicalised T-duality of Mtheory in the principle of mirror-symmetry and which manifests in the reflection properties of the heterotic
string classes HO(32) and HE(64) as the 3rd and 5th string classes, respectively.
Defining f(S) = # = 1/f(G) and f(E) = #2.f(S) then describes a symmetry breaking between the 'strong S' f(S)
interaction and the 'electromagnetic E' f(E) interaction under the unification couplings.
This couples under modular duality to f(S).f(G) = 1 = #55 in a factor #-53 = f(S)/f(G) = {f(S)}2 of the 'broken'
symmetry between long-range- and short-range interactions.
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SEWG = 1 = Strong-Electromagnetic-Weak-Gravitational as the unified supersymmetric identity then
decouples in the manifestation of string-classes in the de Broglie 'matter wave' epoch termed inflation and
preceding the Big Bang, the latter manifesting at Weyl-Time as a string-transformed Planck-Time as the
heterotic HE(64) class.
As SEWG indicates the Planck-String (class I, which is both open ended and closed), the first transformation
becomes the suppression of the nuclear interactions sEwG and describing the self-dual monopole (string
class IIB, which is loop-closed in Dirichlet brane attachment across dimensions say Kaluza-Klein R5 to
Minkowski R4 or Membrane-Space R11 to String Space R10).
The monopole class so 'unifies' E with G via the gravitational finestructure assuming not a Weylian fermionic
nucleon, but the bosonic monopole from the keGo=1 initial-boundary condition GomMonopole2=kee2 for
mMonopole=e/Go=kee=[30ec]mod=mplanck.√a.
The Planck-Monopole coupling so becomes mplanck/mmonopole=mplanck/30[ec]mod=1/√ with f(S) = f(E)/#2
modulating f(G) = #2/f(E)=1/# ↔ f(G){f(S)/f(G)} = # in the symmetry breaking f(S)/f(G) = 1/# 53 between short
(nuclear asymptotic) and long (inverse square).
The short-range coupling becomes f(S)/f(W)=#/#18=1/#17=Cube root(Alpha)/Alpha6 and the long-range
coupling is Alpha/Omega=1/Alpha17=#3/#54=1/#51=1/(#17)3.
The strong nuclear interaction coupling parameter so becomes about 0.2 as the cube root of alpha and as
measured in the standard model of particle physics in the form of an energy dependent 'running coupling
constant' and which takes a value of αZ = 0.1184 at the energy level of the Zo weakon at about 92 GeV.
The monopole quasimass [ec]mod describes a monopolar source current ef from the unification identity
1/e*fps = h = E*/fps as a fine structure for Planck's constant h, manifesting for a displacement λ=c/f. This is
the GUT unification energy of the Dirac Monopole at precisely [c 3] eV or 2.7x1016 GeV and the upper limit for
the Cosmic Ray spectra then as [30c3]=8.1x1017 GeV*as the physical manifestation for the string classes:
I, IIB, HO(32), IIA and HE(64) in order of modular duality transmutation.
The transformation of the Monopole string into the XL-Boson string decouples Gravity from sEwG in sEw.G in
the heterotic superstring class HO(32). As this heterotic class is modular dual to the other heterotic class,
HE(64), it is here, that the proto nucleon mass is defined in the modular duality of the heterosis in:
Omega=Alpha18=2πGomc2/hc=mc/mplanck2.
The HO(32) string bifurcates into a quarkian X-part and a leptonic L-part, so rendering the bosonic scalar spin
as fermionic half spin in the continuation of the 'breaking' of the supersymmetry of the Planckian unification.
Its heterosis with the Weyl-string then decouples the strong interaction at Weyl-Time for a Weyl-Mass mW,
meaning at the time-instanton of the end of inflation or the Big Bang in sEw.G becoming s.Ew.G.
The X-Boson then transforms into a fermionic protonucleon triquark-component (of energy ~ 10-27 kg or 560
MeV), and the L-Boson transforms into the proto-muon of energy about 111 MeV.
The last 'electroweak' decoupling then occurs at the Fermi-Expectation Energy about 1/365 seconds after
the Big Bang at a temperature of about 3.4x1015 K and at a 'Higgs Boson' energy of about 298 GeV.
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A Bosonic decoupling preceded the electroweak decoupling about 2 nanoseconds into the cosmogenesis at
the Weyl-temperature of so Tweyl = Tmax = Eweyl/kB=Eps/kB=1.4x1020 K as the maximum Black Hole temperature
maximized in the Hawking MT modulus and the Hawking-Gibbons formulation:
McriticalTmin = ½mplanckTplanck = (hc/2πGo)(c2/2kB) = hc3/4πkBGo for Tmin = 1.4x10-29 K in Boltzmann constant kB.
The Hawking Radiation formula results in the scaling of the Hawking MT modulus by the factor of the
'Unified Field' spanning a displacement scale of 8π radians or 1440° in the displacement of 4λ ps.
The XL-Boson mass is given in the quark-component: mX = #3mW/[ec]
= Alpha.mW/mplanck=#3{mW/mplanck}~1.9x1015 GeV; and the lepton-component:
mL = Omega.[ec]/#2=#52[ec/mW] ~ 111 MeV.
It is this lepton component which necessitates the existence of the muon (and the tauon and their neutrino
partners as constituents of the weak interaction gauge bosons) as a 'heavy electron', as the quantum
geometry defines the muon mass in a decoupling of the L1 energy level given in a diquark hierarchy and
based on a quantum geometry of the quantum relativity.
The definition of quantum consciousness is so obtained in the definition of magnetopolar charge
e*=1/Eweyl=1/Eps in the units of the Star Coulomb being the measurement of inverse energy as the inversion
of the unit for energy in the Joule as [J=kgm2/s2]*=[1/C*].
For the parameters of the electron of mass m e=kee2/Rec2=h/2cRe and classical displacement
Re=kee2/mec2/and the Compton constant meRe=kee2/c2=h/2c=.Lplanck.mplanck=Lec.mec for monopolar
distribution of electron masses and as a consequence of the Planck length oscillation as a minimum
spacetime configuration causative for the Quantum Big Bang. The subscript ‘ec’ denotes the GrandUnification monopole mass as the second-string class where mass
m=E/c2=hf/c2=h/lc=h/(ec/c2)=hc/e=[Action].c/e=[e2]c/e=[ec]mod of about 4.818x10-11 kg* as the Dirac
monopole of the GUT energy in electronvolt as [ec]mod.c2=[c3] eV*.
The Compton constant defines the inverse proportionality between the ‘size’ of the electron from point like
at the wormhole radius at 10-22 m* to its maximized extent at Re=2.777..x10-15 m* as a function of its mass in
mec.Lec=h/2c, relative to meRe=h/2c, with Lec=Re being the characteristic displacement scale for the weak
nuclear interaction as the magnetic asymptotic confinement scale of the gluon-quark interactions, emerging
in a kernel-inner mesonic ring-outer leptonic ring quantum geometry for the subatomic quantum mechanics
of the elementary particles of the Standard Model.
For the minimized classical Weyl-size of the electron at a wavelength of 10-22 m*, the Compton constant
defines an effective mass of mec=h/2c(Rweyl)=h/c(10-22)=2.22x10-20 kg* for Lec=Rweyl, which is the Weyl
wormhole mass mweyl=mps=Eps/c2.
The Heisenberg uncertainty principle relating energy with time and displacement with momentum in the
expression ΔE.Δt = Δx.Δp ≥ h/4π applied to the quantum mechanical scale of de Broglie wave matter
λdB = h/mv and the Compton mass-photon interaction Δx=rcompton=h/2πcm shows a natural limit for the
measurement of position in Δp = Δmv ≥ h/4πΔx = ½mc.
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When Δp exceeds mc , then ΔE exceeds mc in the Energy-Momentum relation E2=(pc)2+(mc2)2 and we can
apply this natural limitation on measurement to the position of the electrostatic electron mass in a variable
classical electron radius as rec=αh/2πcm=αrcompton={μoe2c/2h}.{h/2πcmec} = μoe2/4πmec and rendering the
Compton mass-photon interaction modified in the electromagnetic fine structure constant α to relate the
inverse proportionality between the electron's rest mass to its spacial extent in:
meRe= Compton constant=αh/2πc=lplanck.α.mplanck=mecrec
The Compton constant ensures Lorentz invariance across all reference frames in cancelling the length
contraction with the relativistic mass increase in the product of the proper length l o and the proper rest mass
mo as lo.mo=loγ.mo/y in special relativity (SR) in the self-relative reference frame of the monopolar electron
and with =1/√(1-v2/c2).
Physicalized Consciousness is a monopolar source current Imonopolar, acting on a spacetime volumar coupled to
the time differential of frequency as defined by the spacetime awareness enclosed in the volumar.
The source monopolar current is equivalent to the mass of the interaction.
For the resonance energy state, the spacetime awareness df/dt is {df/dt}|max=fps/fss=fps2=9x1060 frequency
eigenstates, defining the volume of the Restmass-Photon RMP as the ‘dark matter’ particle of physicalized
consciousness
Vrmp=e*/{df/dt}|max=2Rec2/{df/dt}|max=500/9x1060=5.555…x10-59 [m3]* and calculates as Rrmp= ∛{5.555..x1059
}/22}=1.933..x10-21 m* for a toroidal hyper-surface volumar (V4=½2R4 for dV4/dR=22R3=(2R).(R2) for a
3-dimensional Horn Torus) and calculates as
Rrmp= ∛{5.555..x10-59}/4/3}=9.109…x10-21 m*
The resonance state with the source energy quantum{proportionality constant}.V weyl.{df/dt}weyl
=Eweyl.=hfweyl=mweylc2=kBTweyl, ={mass/displacement}. Vweyl.{df/dt}weyl={ec/displacement}}.
Vweyl.{df/dt}weyl={Imonopole}. Vweyl.{df/dt}weyl = {monopolar mass current = Eweyl = hfweyl = mweylc2= kBTweyl
Logos Mathimatia or the universal intelligence then defines the parameter df/dt as the unit of spacetime
awareness, which if multiplied by the wormhole volumar of the Weyl string Vweyl of the Quantum Big Bang
will define the source energy quantum from first principles as {proportionality
constant}.Vweyl.{df/dt}weyl=Eweyl=hfweyl=mweylc2=kBTweyl, in the mathematical formulations for the energy
transformations in electromagnetic radiation (Planck) and mass (Einstein) and temperature as kinetic energy
(Stefan-Boltzmann) respectively.
The proportionality constant in units’ mass/displacement [kg/m] describes Maxwell’s displacement current
in the non-inertial reference of the Stoney units of the transformation of the Planck string into the Stoney
monopole string.
Dirac’s monopole becomes the singularity of the creation event in the Quantum Big Bang Singularity or QBBS
as a universal mirror connecting nowhere in notime as a one-dimensional Dirac superstring dividing the
timespace of abstract mathematical, algorithmic, and logical definition to a spacetime rediscovering the
potential of the timespace in the flow of time and the experience of spacial separation.
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This serves the universal purpose to manifest the potential energy configurations of physicalized
consciousness in the activity and dynamical interactions of physical information carriers.
The increase of physicalized consciousness in the quantum acceleration potential df/dt in the cosmology
enhances the self-awareness of the physicalized information processors in the potential transformation of
restmass quanta defined in the low energy part of the supermembrane E psEss.
As the restmass quanta mss are always coupled to the Unified Field of Quantum Relativity (UFoQR) and the
agency of the Restmass-Photon RMP as a dark matter agent for the UFoQR; the definition for physicalized
consciousness as the angular radial independent quantum acceleration acting upon any volumar of space
ensures the dynamic evolvement of volumar spacetime in the experience of the flow of time common to
both the experienced spacetime and its generating timespace.
In timespace the absence of duration as a unit count is replaced in the ordering principle for events,
independent on any duration count between the occurrence of the events.
The perception of spacetime becomes however a function of individuated physicalized consciousness in its
scope of resonating with the source energy parameters in the form of the time differential for eigenfrequency specifying the ‘spacial awareness’ as an eigen- or self-state to harmonize or resonate with the
timespace definitions made manifest in spacetime.
The inertial frame of self-reference defines the acceleration of a magnetic charge generating monopolar
electromagnetic radiation (EMMR) as a form of the original Electromagnetic Monopolar Interaction EMMI
light path of the creation event and where the parameter of a magnetic point charge as the mass of a
magnetic monopole becomes the quantum for the RMP as the dark matter agent and as a fifth fundamental
interaction in the UFoQR in mirror capacity to the electropolar charge of the electron.
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Time began from nowhere in notime at the now time of the source energy becoming conscious of itself and
the creation of somewhere from sometime became the logical consequence of the birthing of time as a
spacetime parameter and function to enable the original consciousness energy experience itself as its own
parts or ‘children of descendancy’ in the sharing of the universal or cosmic self-consciousness.
The function and primary focus of spacetime then is to manifest a mirror symmetry between the ancestral
original creator source consciousness and the descendent created source consciousness known as spacetime
awareness.
The source energy is known and labeled in many ways and including the names of ‘God’ and the great ‘I AM’
and gods, as ‘All That Is’ and as deifications of mythos and of history in the libraries and records of the
history of the worlds.
{MATHIMATIA=95=IAMTHATIAM=EXCALIBUR=NEPTUNRE=SCORPIO=59=DRAGON in code Exo.3.14 with
DRAGONMADE=82=ARMAGEDDON in the WORDSOFAPSALM=162=SWORDOFPLASMA}.
The stories of creation and of the gods so share particular similarities and differ in other aspects as a
function of culture and custom and regionality, relative to the scribes and record keepers indigenous to an
area, where the records are being composed and collected.
The creative source is known in the Mathimatia of the Universal Logos-Sophia as the universal intelligence
or source energy manifesting itself from a timeless and space-independent realm labeled as timespace in
spacetimes interwoven in the physical parameters of spacial extent and a timed duration between events;
the primary and spacetime-aware.
To relate the nospace and the notime with space and time a modular inversion and mirror duality becomes
integrated in the creation of a protoversal seed with the potential to reflect and mirror its creation modular
duality in the inversion properties of quantization of the micro-self-states and the macro-self-states of
existence in the form of a supermembrane consisting of two interwoven, albeit reciprocated parts.
The high energy and micro-quantum part are known as Abba as the name of the creator-creation
sourcesink, and the macro-quantum part is known as Baab as the name of the creation-creator sinksource in
a generalised White-Hole-Black-Hole or Yang-Yin or DNA-RNA or chicken-egg or male-female or phallus-yoni
cosmology.
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XVI: Quantum Consciousness in the Penrose-Hameroff Model
Cosmological relevance of microtubules to the size of the electron as conformal
wormhole quantization in quantum geometry
View: https://www.youtube.com/watch?v=Xx0SsffdMBw
View: https://www.youtube.com/watch?v=jXBfXNW6Bxo
The number of micro tubules in the Hameroff-Penrose model for physicalized consciousness can be related
to the actual scale of the classical electron radius and the cosmological spacetime matrix.
Using this conformal mapping from the Quantum Big Bang 'singularity' from the electric charge in brane bulk
space as a magnetic charge onto the classical spacetime of Minkowski and from the Planck parameters onto
the atomic-nuclear diameters in 2Rec2 = e* from the Planck length conformally maps the Planck scale onto
the classical electron scale.
A conformal scale of 2.5 fm, which is close to the classical electron radius of about 2.8 fermi and as defined
in the alpha electromagnetic fine structure and the related mass-charge definition for the eigen energy of
the electron in mec2 = ke2/Re.
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Also in a model of quantum relativity (QR), there is a quantization of exactly 10 10 wormhole 'singularitybounce' radii defining the radian-trigonometric Pi ratio as
Rwormhole/Relectron = 360/2π.1010 or 1010 = {360/2π}{Re/Rwormhole} as a characteristic number of microtubules in a
conformal mapping from the classical electron space onto the 'consciousness' micro-space of the neuron-cell
intermediate between the Hubble scale of 10 26 m and the Planck scale of 10-35 m as geometric mean of 10-4
to 10-5 meters.
The geometry of the architecture of the microtubules and the nature of their construction utilizing the
pentagonal quasi-crystalline pattern in its application, so maximizes the compression of information in the
Fibonacci geometrical pattern-sequencing. This then results in the conformal mapping of this geometry as a
quantum geometry and defines physical consciousness as a conformal mapping of the quantum of
spacetime in the form of Weylian 'Quantum Big Bang' wormholes of the cosmogenesis.
The pre-Big Bang 'bounce' of many models in cosmology can be found in a direct link to the Planck-Stoney
scale of the 'Grand-Unification-Theories'. In particular it can be shown, that the Square root of Alpha, the
electromagnetic fine structure constant α, multiplied by the Planck-length results in a Stoney-transformation
factor LP√α = [e/c2]|mod in a unitary coupling between the quantum gravitational and electromagnetic fine
structures {Gok=1 and representing a conformal mapping of the Planck length onto the scale of the 'classical
electron' in superposing the lower dimensional inertia coupled electric charge quantum 'e' onto a higher
dimensional quantum gravitational-D-brane magnetopole coupled magnetic charge quantum
'e*' = 2Re.c2 = 1/hfps = 1/EWeyl wormhole by the application of the mirror/T duality of the super membrane E psEss
of heterotic string class HE(8x8)}.
This boundary condition on a universal Black Hole evolution can be based on the definition of physical
consciousness and the magneto charge as the Eps-gauge photon, acting as prime agency in a Unified-FieldOf-Quantum Relativity or UFOQR.
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As magneto charge e* = 1/hfps in the units of the Star Coulomb could be written as
[C*] = [m3/s2]*; the Gravitational parameter GM in the same units [Nm 2/kg2].[kg] = [m3/s2] could be used for
the purpose to relate the volume occupied by a Black Hole to the ubiquitous nature of physical
consciousness as permeating spacetime itself.
This is mathematically expressed in the Fibonacci sequence and the Euler Identity.
The FRB or Functional-Riemann-Bound in Quantum Relativity is basic to the pentagonal string/brane
symmetries and is defined in the renormalization of a wavefunction
B(n) = (2e/hA).exp(-alpha.T(n)), exactly about the roots X and Y, which are specified in the unifying condition
of the Euler Identity:
XY = X+Y = i2 = -1 = cos(π) + isin(π) = ℮iπ
X = ½(√5-1) = 0.618033..... and Y = -(X+1) = -½(√5+1) = -1.618033...
-X(X-1) = 0.236067... in analogue to X(X+1) = 1 = T(n) and XY = X+Y = -1 = i2
as the complex origin.
The Cosmic Wavefunction in the UFOQR is the following Differential Equation:
dB/dT + αB(n) = 0;
α being Alpha, the Electromagnetic Fine structure as the probability of light-matter interaction (~1/137).
This has a solution:
B(n) = Bo.exp[-α.T(n)]; Bo = 2e/hA from QR boundary conditions defining:
T(n) = n(n+1) as the Feynman Path-Summation of particular histories under the pentagonal supersymmetry
given in the (Euler) identity:
XY = X+Y = -1 = i2 = exp[iπ] and for the limiting condition: lim [n→X]{T(n)} = 1
This allows the Normalization of the [Ψ]2 wave function to sum to unity in
B(n) = (2e/hA).exp[-α.n(n 1)] with Functional Riemann Bound FRB=-1/2,
centered on the interval [Y,...-1,...-X,...-1/2,...(X-1),...0,...X].
Interval [Y,-1] sets F-Space; interval [-1,0] sets M-Space with uncertainty interval [-X,(X-1)] and interval [0,n)
sets the C-Space, encompassing Omni-Space.
n<0 is imaginary as real reflection of real n>0 of the C-Space, metrically defined at the coordinate n=0
mapping n=nps, which is the Instanton tps=fss=1/fps.
Cycle time n is defined in GR as dimensionless Tau(τ)-Time in curvature radius RC=c.dt/dτ for the pathlength
of x=ct and becomes dn/dt = Ho, n = Hot in QR, with Ho the nodal Hubble Constant defined in c=H oRmax=λps.fps.
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The Feynman Path so sums both negative and positive integers as:
-n......-3...-2...-1...0...1...2...3......n = T(n) in absolute value to double the infinities as the entropy reversal of
light path x=ct=(-c)(-t) in the Möbius Property of the 4 worlds as outlined in the 13 dimensions of the time
connectors.
Cantor Cardinality Aleph-Null is thus Unitized in Aleph-All, counting infinities as if they were integers of the
Feynman Path.
This allows the Feynman interpretation of Quantum Mechanics as alternative to the formulations of
Schrödinger (fermionic 1/2 spin) and Klein-Gordon (bosonic integral spin) as time independent and time
dependent (free particle form inconsistent with SR in Schrödinger in 1st order t & 2nd order x), formulations
respectively.
The units of B(n) are 1/J, that is Inverse Energy, with A 2 an algorithmic constant defining Current-Squared
and 2e/h the Josephson Constant in Amperes/Joules.
B(n) as the universal cosmic wavefunction describes the universe as a potentially infinite collection of
'frozen' wormhole eigenstates at n=0.
The time Instanton 'unfreezes' one such eigenstate and activates the protoverse as described in an arbitrary
local time calibration, say November 4th, 1996; Canberra, Australia, local time, as an example to ‘measure
universal time, say in cosmic seconds s*, backwards in time.
This then allows the 'Mappings' of the C-Space 'real time n>0' from the F-Space of the 'imaginary time n<-1'
under utility of the M-Space interval as 'mirror-space'.
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A new physical quantity in 'awareness' is defined as the time differential of frequency and allows the
concept of 'consciousness' to be born from the defining qualities of magneto charges.
Electro magneto-monopolar 'Life' derives as consequence of self-inductions of quantum geometric entities,
specified from supermembranes, macro-crystallized in electropolar self-capacitances and magnetopolar selfinductances, subsequently becoming subject to mutual cross-inductances.
The purpose of the superbranial self-replication on ever increasing scales, and until modular duality is
reached in minmax boundary conditions; is to establish the multiversal nesting of the smallest within the
largest - a process which constituted the beginnings of it all in the 'naked singularity' becoming defined as
the Genesis BOSON in the Mathimatia of the Logos of Abba as the ‘Modus Operandi’ of Creation.
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https://www.scribd.com/.../105508014/Microtubules-Fibonacci
What is Consciousness?
Answer:
The dynamic occupancy of spacetime by physicalised quantum conglomerations originating and emerging
from an energy source defining nospace and notime in space and time.
Space is consciousness related via an advanced quantum mechanics. Therefore, you can figure out what the
metaphysics or spirit concept really relates and points to. It is not dieu ex machina but machina ex dieu.
Calculation:
7.4 Billion people weigh about 518 Billion kilograms for an average weight of 70 kg.
As one proton has a mass of about 1.7x10-27 kg; the total mass of humanity in weight are so 3x10 38 protons.
One proton has a volume of so 4x(1.4x10-15)3 = 10-44 cubic meters and for all the protons of humanity the
volume adds to about 3x10-6 cubic meters or 3 cubic centimeters which is a cubic size for a cube about 14.4
millimeters long.
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Question:
So, what is all that empty space doing...is their direct interaction between nucleons and virtual particles
relating to the nature of "spin," or how the universe actually sustains itself from moment to moment?
Answer:
This is an appropriate question, which leads directly into the deepest nature of what energy is and it relates
on a most fundamental way to the reality of universal consciousness.
Firstly, the 'empty space' of an atom manifest as a form of 'force field' in that the interaction 'Goldstone'
bosons mediate a 'force', which then manifests as the appearance of solid-state physics.
So, tapping a table actually taps an energy field etc. The problems with this mainstream physical
interpretation and model begin right here, because the 'Goldstones' (photons, weakons, gravitons, gluons,
higgs) are said to be 'virtual' that is not having a real physical existence.
This is erroneous, just as the mainstream notion of consciousness and mind being nonphysical is also not
supported by a higher dimensional cosmology and physics. As an example, consider Einstein's E=mc2 applied
to the total mass content of the universe. For a mass of say 10 50 tons you will have an energy summation of
so 1070 Joules.
But if you now use the quantum energy, also well defined in Planck parameters, you calculate the quantum
energy per space quantum, and you get far higher values for this energy.
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Using the conventions (Planck Length=2x10-35 m, Planck Mass=2x10-8 kg, Planck Energy=2x109 J, Holographic
bounds etc.) and using the Event Hubble extent of the universe, you get something like (Number of space
quanta)x(Planck Energy) = (10147)x2x109 ~ 2x10156 Joules. Now the string physics tells you that the energy per
string quantum is something like 1064 Joules per cubic meter as a physical manifesto of this quantum energy;
whilst the energy of all (atomic) matter in space is something like 10 -10 Joules per cubic meter.
So, the 'discrepancy' between quantum energy and matter energy is in a factor of so 74 (and 87 in the
quantum-Planck limit). This number then becomes associated with the 'Dark Energy' and the 'Dark Matter'
to explain the discrepancy.
The 'empty space' of the atom so is in fact 'spanned' by the 'virtual' energy which is dark and has a dark
matter component which is defined in physical consciousness parameters based on the quantum energy
parameters and especially the physical size of the electron.
This naturally allows a refined approach to fundamental physics, such as the difference between the
Hydrogen atom and the neutron and how radioactive beta/neutron decay allows the primordial universe to
build the table of the chemical elements. This transformation then relates to the interaction probability
between matter and light in electromagnetic parameters so showing the basic electron to be a 'point
particle/string' of a minimum size; but also, a 'smeared out' or extended circular membrane characterised by
the Fermi scale of the 'Goldstone Bosons'.
The spacial extent of the differences then defines physical consciousness as a modular dual or mirror
property of the space quantum itself; namely whatever is measured as energy derived from the macrophysics becomes a reciprocated magneto-polar 'supercharge' in the form of the electronic diameter
maximized multiplied by the time differential of frequency as inversed time. But this change of string/brane
vibration over time is also an angular acceleration without radial extent and so you find the innermost
nature of the quantum spin, which is radially independent.
Those physical definitions for consciousness then carry enormous implications of course. Namely space itself
is conscious in a physical sense and any dynamic occupying space adds to a space inherent base
consciousness independent of the dynamics and living entities moving about within it.
Collapsing a hydrogen atom that is forcing the electron to overcome its weakon force field of the beta decay
results in a neutron star of 'degenerate electrons' and you then can observe the quantum physics in the
astrophysics. So, your original question regarding the empty space resolves in the transformation of energy
density in space.
Then you should adapt the quantum theory to the holographic universe and the multidimensional
membrane physics to resolve the wave-particle duality and the quantum entanglement on both the microcosmic and the macro-cosmic scales to find the universal unification. The quantum entanglement can easily
be seen to be the effect of the modular duality inferred at the beginning to resolve a number of apparent
paradoxes, such as the Schrödinger Cat and the Chicken-Egg DNA/RNA etc. paradoxes.
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https://youtu.be/noj4phMT9OE
References:
Roger Penrose & Stuart Hameroff (4 July 1992). "Consciousness in the Universe: Neuroscience,
Quantum Space-Time Geometry and Orch OR Theory". Journal of Cosmology.
Quantumconsciousness.org. Archived from the original on 16 June 2012. Retrieved 13 August 2012.
S. Hameroff; R. Penrose (2014). "Consciousness in the universe: A review of the 'Orch OR' theory".
Physics of Life Reviews. 11 (1): 39–78. Bibcode:2014PhLRv..11...39H.
doi:10.1016/j.plrev.2013.08.002. PMID 24070914.
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XVII: God Reborn - The Birth of God as a Superbrane
A Story of Intelligent Design and the Creation of the Quantum Universe in the
Uniphyscon of Quantum Entangled Omnispace
The question of creation as quantum fluctuation ex nihilo is answered as a creation ex UniPhysCon as the
quantum entanglement of omnispace in the form of universal physicalized consciousness.
Foreword:
A claim to have some answers to pertinent and profound questions in regards to the perennial quest of the
human race to understand itself in being and in mind can be no statement of whimsicality.
Such a proposition demands a thorough investigation of the issues at hand; not a one-sided or biased
examination of selected data and information; but a rigorous scientific approach to evaluate all the evidence
supplied in the history of the developments, both in the popular culture and its science and the philosophies
supporting it.
It is of limited value to parade the scientific discipline as the rational and impartial paradigm for the future; if
that same worldview proves itself incapable to elucidate or to explain the most basic of elementary
questions asked or problems faced by the now globalized citizen, placing hisher hope and expectation into
that same projected future. And the overwhelming problem facing humanity at the beginning of the 21st
century is that of its own philosophy.
‘Where are we now as a race?’, ‘Where are we going ?’ and ‘Where did we come from?’ are some common
questions asked, but not answered by the expert authorities in organized politics, science, culture, and
religion. Why do we seem incapable, despite having built a monumental edifice called the scientific way and
methodology; and notwithstanding the progressing technology derived from that; why then can that same
worldview not answer a simple question like:
“If there is such a thing as God, as so many of us have been told, then where and what is it?”
We find an evolved human genetic disposition to form allegiances and to carry and ascribe to certain beliefs,
often founded or exposited upon by certain individuals or groups. Kings and knights, magicians, clerics, and
sages of old have transformed into the experts and advisors of the new.
Consultancy has become the catchphrase, often stifling the natural curiosity to find answers for one’s own
questions in a denial of one’s own creative impulses through an adventure of self-discovery. Today, we find
allegiances to political ideologies, religious dogmas, or some other culturally based agenda. All those liaisons
and associations have something in common; however, they all become coloured in the individuals which
belong to them. Redemption from this filtered state of affairs is found in a paradigm which is based on the
precept of disallowing personality to individualize the work to be done or to colour the information to be
collected as one’s personal archive or one’s private library of creation, subject to one’s own individual
fancies and desires.
Albert Einstein once remarked:
“The greatest trouble in the world is the idea of a personal God!”
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And so, one might agree with the de-personification of Albert Einstein’s ‘God,’ whom he rather
affectionately called: "The Old One” and of whom he also said: “God does not play dice with the world,”
referring to his rejection of the idea that life and nature’s processes are intrinsically arbitrary in a universe
defined by chance and random events.
He thought of ‘God’ as being the intelligence behind the natural laws of nature, as found in the sciences and
the mathematics which he studied and he believed that nature had to be based in geometrical principles,
rather than in probabilities defined in statistics and stochastic matrices.
And there were others before and after him; Plato and Aristotle, upon whose dialogues this treatise is based;
Pythagoras, the Greek geometers and Niels Bohr, Max Planck and Werner Heisenberg, all contemporaries of
Albert Einstein with Paul Dirac, Max Born and Wolfgang Pauli in their contributions to the birth of quantum
mechanics.
The symmetries in nature, numbers and sequences and fundamental constants; all seem finetuned and set
into relationships with one another to create the universe and all the cosmological entities within it.
And one should not forget another genius of contemporary science in Isaac Newton. But what the modern
world has tried to forget and to sequester away under an umbrella of a perceived historical ignorance, was
the immense interest Isaac Newton, the father of all of classical mechanics, had in the concepts of religion.
And what is the modern moral evaluation by his peers, judging a man whom they portray to the students of
science as having had no equal in his time in regard to his scientific work, inventions and mathematical
insights?
His power of pure intellect, like Einstein’s, is often used to exemplify the necessity for logical thought and
concentration in the pursuit of scientific and mathematical excellence by the students in those fields.
Is it embarrassing to tell the full story; that Isaac Newton spent months at a time trying to decipher scrolls,
like the ‘Book of Daniel’ and the ‘Book of Revelation’ in the bible?
“He must have been deluded in the religious fervor of his age!” they would have said.
But was he?
Could a mathematical prodigy like Isaac Newton have been so gullible? Isn’t it more likely, that he sensed
that there was something to it – and that it had to be scientific?! Isaac Newton’s ‘God’ is the same as Albert
Einstein’s ‘God’ and yet it is completely impersonal. It must be, by the definition of the working ethic!
But is it?
Could it be possible, that once the ‘God of Science’ has become impersonal, that then this same ‘God’ is
reborn in a ‘God of Omniscience,’ who allows, even demands a personification, because of its own
definition?
And what if that had been the masterplan throughout the ages anyway? Can we then ever know and
understand such a masterplan?
And what if all the clerical authorities around the globe are forced by their own followers to take notice?
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What if modern science can prove to them that their ‘Allah’ and ‘Jehovah’ and Yahwhey and ‘Brahma’ and
‘Baha’ and ‘Krishna’ and ‘Ra’ and ‘Osiris’ and ‘Set’ and ‘The Big Goat behind the Old Oaken Tree in the
Walpurgisnacht on April 30th’ are all one and the same as the ‘Order out of Chaos!’ defined in a Universal
Logos or Universal Intelligence manifesting the Primordial Universal Consciousness as a Source Energy and a
circumstance and phenomenology which could be called the ‘Word of God’ as its physical manifestation ?
What if their scriptures and ancient scrolls became illumined in a new light of omniscience; should their
powerbase not become depersonalized if they are shown to have followed a very limited interpretation of
their ‘sacred texts’ indeed?
Where would they go in their grandstanding of and about ‘God’s Law’ for the ‘chosen people’ and for the
‘infidels’?
It would be the end of falsified religious dogma and the death of manipulative religion as such. Because
omniscience is Omni-Science, the Science of ‘The All’ for ‘The All’ and the German word for the cosmos or
the universe is “Das ALL” - Albert Einstein and Max Planck and Werner Heisenberg and Wolfgang Pauli and
Max Born would have liked that in their contemplations upon the natural order of things.
Albert Einstein also said: “Science without Religion is lame and Religion without Science is blind”- and this
book shall try to synergize the two worldviews in a redefinition of Heisenberg’s Uncertainty Principle and its
statistical nature within a geometrical interpretation of quantum mechanics.
And then would peace between the nations have a chance, because of the demise of the old religions and
the already internationally accepted profundity of the scientific way and methodology. Like music, dance or
mathematics, a new language would sweep the old world of hate and dispossession, the ways of
disempowerment and disbelief under the carpet of the illumination of a new base of knowledge.
A new song would be sung and the nations and tribes and families at war with each other could embrace
one another in a new way of looking at the world around themselves and their individuated places within it.
And all the many things they had learned from their history through the ages of humankind; all their
legends, myths and fables, their religions, and sciences; all would become integrated within themselves in a
renewed understanding and the death of their ignorance regarding themselves.
But to succeed, the initiation of this omniscience is first required to affect its own birthing process. The
mathematical principles of necessity and sufficiency must be satisfied, and the scientific global community
must become informed about the new dispensation. The premises of the new model also necessitate their
scientific validation through experiment and verification in the collective scientific data base.
This then is the disclaimer for this play of words.
To scientifically empower the new dispensation; a scientifically rigorous approach in its elementary
application cannot be avoided. Science cannot ‘prove’ something, without clearly identifying its parameters
and boundary conditions.
There is an abundance of literature, which explains the present status quo in specialized fields of particle
physics, quantum theory, unification physics and cosmology in a populist genre of communication.
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Many discoveries add to that edifice on a daily basis.
This treatise then does not retell the stories, which have already been told in many other ways and media. A
list of references points to supportive accounts of some popular ones amongst them. This essay attempts to
explain the fundamentals, the principles and preconditions for what brought about the universe’s
occurrence and the parameters which led to its definition in the natural laws.
And it is happenstance, that those precepts and prerequisites existing before space and time came into
being, have a relevance for the birth of the religions of history or what one could term the ‘spiritual impulse’.
The bearing upon the personality is found to be a subset of a collective psyche; what one might perceive as
the groupmind of a race or species; a somewhat very unique genus, which despite the relativity of the
observer and the heliocentric reality – finds itself at the center of the universe, as itself – the race of
mankind!
The ultimate aim of science to unify all aspects of existence so becomes a quest to enhance all energy and
matter towards their most basic and elementary form of manifestation. Once such a fundamental oneness is
found and classified by science; then the scientific worldview will become enabled to cross-fertilize all its
inter disciplinary factions and the global culture will be ready to purge itself from all unscientific and
irrationally derived paradigms and belief systems.
That will be the death of superstition and of pseudoscience; the unscientific way of thinking and its many
flawed perceptions in regard to observed natural phenomena.
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Physical Consciousness coupled to the Biomind of Universal Life
The labels of 'mind' and 'self-awareness' and of 'consciousness' have for long awaited rigorous definition in
the nomenclature of science. Whilst most researchers and philosophers accept the existence of those labels;
what those naming represent in a physically measurable sense of physical parameters have remained largely
unexplored.
These notions have remained as one of the major mysteries of science and have become subject to a
number of speculations; from a purely materialistic interpretation of the 'mind' being a biochemical
response to environmental stimuli, to the 'mind' being part of a 'spiritual soul' and subsequently constituting
a transcendent aspect of biophysical life.
A related mystery is that of 'life' itself. How did the universe evolve 'life' from an accepted premise of a prior
or older cosmology, which disallowed biological life as is observed today?
The thermodynamically expanding universe follows well tested physical parameters engaging the quantum
nature of physical existence in the form of nucleosynthesis interactions such as nuclear fusion of atomic
elements and an associated natural radioactivity inherent in nature and its laws of conservation of energy
and momentum.
Those same processes occurred in the primordial universe and due to the smaller volume then occupied by
the expanding universe; the descriptive cosmology describes a much hotter universe (as a Black Body
Planckian Radiator) and a universe in which say the lifeforms observed on planet earth could not exist in
their biochemical and molecular constitutions.
Recent advances in the demetricated forms of supermembrane theory (M-Theory for 11-dimensional
supermembranes propagating 10-dimensional superstrings in a 12-dimensional self-dual mirror-spacetime of
supervolumars (Vafa-F-Space encompassing Witten-M-Space) have allowed a rigorous definition for the
above labels in the parameters of the physics of the superbranes.
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The Time fractal of the Genesis Code in Seven Days of Creation
The fractal of the Genesis code is the number 7 as a count of units of time.
A full day, as a circle of time counted as 360 degrees, can be divided into two halves of 180 degrees. The first
half of the circle can be defined as lightness from a sunrise or dawn at 0 degrees to sunset at 180 degrees.
The second half of the circle from 180 degrees to 360 degrees can then be defined as evening to morning of
the full day. The period of time from sunrise to noon or midday to sunset of the 180 degrees is then halved
into two 90-degree periods defining the upper half of the full circle as the Light of a Day and comprising 12
hours as 180 degrees.
The lower half of the circle of a full day then can be defined as the Darkness of a Night and comprising 12
hours as 180 degrees. The four 90-degree sectors of the circle can then be said to be four watches of 6 hours
each and where a watch of 6 hours completes 90 degrees of the circle of 360 degrees.
One hour of the 24 hours of the complete circle therefore is defined as 360/24=15 degrees.
As one hour in a day represents 15 degrees of the full circle of 360 degrees, one day in 360 days defines a
circle- or degree year as 360 days. Proportionally then, one hour in a day of 24 hours is the same as 15 days
within a degree year of 360 days.
This defines a ‘shortened time’ as a count in hours from a ‘standard time’ as a count in days in 7x24=168
hours being 7 full days.
The original division of the circle of 360 degrees into 2x180 degrees becomes redefined as 3½ days of 84
hours of daytime and 3½ days of 84 hours of nighttime.
The seven days of creation so are 7x12=84 hours of daytime from morning to evening, followed by 7x12=84
hours of nighttime from sunset to sunrise.
The fractal of the Genesis-Star-Genetic Code is defined by 2x7x12=14x12=168 hours as:
7+70+700+7,000+70,000+700,000+7,000,000+70,000,000+700,000,000+7,000,000,000+70,000,000,000+700
,000,000,000+7,000,000,000,000=7,777,777,777,777 full days of creation in one week of consecutive
daytime and 1 week of consecutive nighttime.
There are so six periods of daytime from 7-70 and 70-700 and 700-7,000 and 7,000-70,000 and 70,000700,000 and 700,000-7,000,000 followed by a mirror of half-time and 7,000,000-70,000,000 and 70,000,000700,000,000 and 700,000,000-7,000,000,000 and 7,000,000,000-70,000,000,000 and 70,000,000,000700,000,000,000 and 700,000,000,000-7,000,000,000,000
The alpha-sunrise as the morning of the 1st day of creation are the 7 days of the beginning and counting from
left to right or clockwise with the omega-sunset of the 6th day being the 7,000,000 days at the ‘Halftime
Logos Mirror’ of the daytime and mirroring the 6 days of daytimes in the 6 days of night times.
The 6th night of the 7,000,000 days so continues as the 6th night to the 70,000,000 days to begin the
nighttime of the 5th full day and following the clockwise motion of the circle in the nighttime from 180
degrees to the 360 degrees of the 7,000,000,000,000 days to reset the 360 degrees in the 0 th degree of the
sunrise of the 1st day ending the nighttime of the 1st full day and completing the circle of the star-genetic
time.
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The 1st day of star-genetic creation are 7 days and 7 Trillion nights.
as 7 days and 7,000,000,000,000/360=19.444… Billion Degree-Years ‘DY’ with 7 Trillion/365.2425=19.165
Billion Civil Years ‘CY’
{The Age of the universe as a multiverse, subject to quantum tunneling can be calculated as 19.12 Billion
years in a cosmology of 12-dimensional supermembrane duality}
The 2nd day of star-genetic creation are 70 days and 700 Billion nights.
as 70 days and 700,000,000,000/360=1.9444… Billion ‘DY’ with 700 Billion/365.2425=1.916… Billion ‘CY’
{A ‘electromagnetic higher dimensional universal age’ of 19.12 Billion years defines an ‘intersection’ (return
of the electromagnetic light path) interval of 2.24 Billion years for a lower dimensional universal age of
19.12-2x2.24=14.64 Billion years coincident with an age of planet Earth of 2.24 billion years for the onset of
prokaryotic unicellular lifeforms transmutating into eukaryotic multicellular lifeforms}
The 3rd day of star-genetic creation are 700 days and 70 Billion nights.
as 700/360=1.944… ‘DY’ with 700/365.2425=1.916… ‘CY’ and 70,000,000,000/360=194.444… Million ’DY’
with 70 Billion/365.2425=191.653… Million ’CY’
{200 Million years is a time marker for the evolution of the first mammals and diversification of dinosaurs in
the transition from the Triassic into the Jurassic era of the Mesozoic time period. The time required for the
local star system of Rahsol to complete a cycle of rotation about the center of the Milky Way galaxy takes
about 236 Million years}
The 4th day of star-genetic creation are 7,000 days and 7 Billion nights.
as 7,000/360=19.444... ‘DY’ with 7,000/365.2425=19.165…’CY’ and 7,000,000,000/360=19.444… Million ‘DY’
with 7 Billion/365.2425=19.165… Million ‘CY’
{20 Million years ago in the evolution of life on planet Earth represents a nexus point towards the end of the
Miocene era and initiates the evolution of apes (Hominoidea) from an earlier primate genomatrix (Old World
Monkeys)}
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The 5th day of star-genetic creation are 70,000 days and 700,000 Million nights.
as 70,000/360=194.444…’DY’ with 70,000/365.2425=191.653 ‘CY’ and 700,000,000/360=1.944… Million ‘DY’
with 700 Million/365.2425=1.916… Million ‘CY’
{The Hominoidea-Hominidae-Homininae-Hominini-Hominina-Homo taxonomy of human evolution had
passed the Australopithecine and Homo Habilis nexus marker to emerge the homo erectus or ‘upright man’
as archaic forerunner of homo sapiens 2 Million years ago}
The 6th day of star-genetic creation are 700,000 days and 70,000 Million nights.
as 700,000/360=1944.444…’DY’ with 700,000/365.2425=1916.534… ‘CY’ and 70,000,000/360=194,444.444…
‘DY’ with 70 Million/365.2425=191,653… Million ‘CY’
{200,000 years ago, characterized the appearance of Homo Sapiens or ‘wise man’ as evolved from Homo
Sapiens-(Devosonian, Homo Neanderthalensis, Homo Heidelbergensis) in the form of ‘Anatomically Modern
Human’ AMH (Cro-Magnon Man) in the Late/Upper Pleistocene period of the Quaternary era of geology}
The 7th day of star-genetic creation are 7,000,000 days and 7,000,000 nights.
as 7,000,000/360=19,444.444…’DY’ with 7 Million/365.2425=19,165.349… ‘CY’ and
7,000,000/360=19,444.444… ‘DY’ with 7 Million/365.2425=19,165.349… Million ‘CY’
{The ‘last ice age’ and period of glaciation (Younger Dryas) in the Holocene epoch 12,000 years ago is defined
within the last precessional cycle of precession, defined by a simple day-count calendar of
9,360,000=65x144,000 day-kin of the Maya from [-52.0.0.0.0=4Ahau 3Kayab as 01Mar23,615 BCG
(Gregorian proleptic)/27Aug23,615 BCJ (Julian proleptic)= 25Sivan-19,854] to a Midpoint of a 65 Baktun
Precessional Cycle defining the glaciation for the dates [-20.10.0.0.0 =4Ahau 13Muan as 27Jul10,802
BCG/18Oct10,802 BCJ=16Elul-7041] to [13.0.0.0.0= 4Ahau 3Kankin as 21Dec2012 ADG/08Dec2012
ADJ=8Teveth5773] as a 9,360,000/360=26,000 ‘DY’ with a 9,360,000/365.2425=25,626.809… ‘CY’ count of
years for the completion of the fifth of five such precessional cycles of time.}
Dedicated to the supermembrane AbbABaaB for the reconfiguration of an old world into a new world! --Queanbeyan, New-South-Wales; Australia; July 4th, 2020, with November 12th - December 21st , 2021
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Agenda 2025 - A Starhuman Genomatrix Legacy (bitchute.com)
(PDF) Dirac's Magnetic Monopole and the Energy Density of the Universe from Dark Matter with Dark Energy
| Anthony P Bermanseder - Academia.edu
There is no copyright and any researcher or organization wishing to utilize any or all parts of this treatise are
welcome and invited to do so without referencing the original documentation.
The information here disseminated is free for all to use in their own works and research as extensions and
enhancements with respect and in view of their own academic, scientific, or commercial advancements and
endeavors.
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January 16th - 18th - 24th - 26th to March 7th, 2022 {1975 - 1985 – 2010 - 2025}
The Pregnancy and Gestation of the New World in the Womb of the Old World
February 26th, 1776---July 4th, 1776-January 2nd, 1777--February 22nd, 2022---July 11th, 2022---December 29th, 2022
for Pluto Return of 246 years at D-R-D-D-R-D at 27 degrees 34'
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Anthony P Bermanseder