Article Index

2.1 Graviton Unification in Monopole Class IIB

SEWG ---- SEWg  as string transformation from Planck brane to (Grand Unification/GUT) monopole brane


String-Boson Decoupling Time s* Wavelength (λ=2pl) m* Energy (hc/λ) J* & eV* Modular Wavelength m* Temperature
1. Planck-Boson
1.313x10-34 1.523 GJ* or 9.482x1027 eV* 7.617x1033 1.079x1032 Outside Hubble Horizon Limit in Protoverse
2. Monopole-Boson
GI-GUT decoupling
4.6110x10-32 4.337 MJ* or 2.700x1025 eV* 2.169x1031 3.072x1029 Outside Hubble Horizon Limit in Protoverse
3. XL-Boson
6.605x10-31 302.817 kJ* or 1.885x1024 eV* 1.514x1030 2.145x1028 Outside Hubble Horizon Limit in Protoverse
4. ECosmic Bosons
SNI decoupling
2.015x10-25 0.9927 J* or 6.180x1018 eV* 4.964x1024 7.032x1022 Galactic Supercluster Sarkar
Mo=RSarkarc2/2Go Scale
5. False Higgs Vacuum tHiggsPE=2prHiggsPE/c
3.891x10-24 0.0514 J* or 3.200x1017 eV* 2.570x1023 3.641x1021 Galactic Supercluster Scale
6. Weyl-Boson
Big Bang-Instanton
EMI decoupling
1.000x10-22 0.002 J* or 1.245x1016 eV* 1.000x1022 1.417x1020 Galactic Halo(Group) Scale
7. T(n)=Tps
Bosonic Unification
T(n)4 = {[n+1]2/n3}HoMoc2/(2p2sRH2[550]) = 18.1995{[n+1]2/n3} (K4/V)* 1.757

Unitary Modular Geometric Mean Scale
8. Higgs Boson Vacuum
Electroweak WNI decoupling
Quantum Scale
4.799x10-8 J* or 298.785 GeV* 2.400x1017 3.400x1015 Inner Mesonic Ring Quantum Scale



The Coupling of the Supermembranes in Vafa-F-Space of Inflaton Selfdual Monopole IIB

We next reduce the atomic scaling to its intrinsic superstring dimension in deriving the Higgs Bosonic Restmass Induction, corresponding to the Dilaton of M-Theory.

Renormalising the wavefunction B(n) about the FRB=-½ as maximum ordinate gives a probability y2dV for y(0)=√(alpha/2p) for the renormalization.

Alpha/2p 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 space in 10 dimensions.

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 Cuberoot of Alpha or as # in the symmetry #:#3 = SNI:EMI = Strong Nuclear Interaction Strength { ElectroMagnetic Interaction Strength}.

The Strong-Interaction-Constant SIC=√Alpha=√e2/2eohc=√(60pe2/h) in standard and in string units, reduces the SNI finestructure constant # by a factor Alpha1/6 ; that is in the sixth root of alpha and so relates the SIC at the post quantisation level as # to the prequantum 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), than at the EpsEss timeinstantenuity S.EW.G of the superstring of the Quantum Big Bang in heterotic class HE(8x8) {this is the stringclass of Visi in the group theories}.
This then is the Bosonic Gauge 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 stringclass and the super high energy resonances in the cosmic ray spectrum, bounded in the monopolic resonance limit of 2.7x1016 GeV*.

1-Jo=0.00727021 approximates rg/r10c2=4/550=0.007272... approximates Alpha at n=nps.

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.

This is the generalisation 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 basic 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 finestructures:

For Gravitational Mass Charge from higher D Magnetic Charge: 1=2pG.mplanck2/hc

For Electromagnetic Coulomb Charge as lower D Electric Charge: Alpha=2pke2/hc

Alpha as the universal masterconstant of creation, then becomes defined via the Riemann Analysis from XY=i2 definition, reflecting in modulation in the statistical renormalisation 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.

The derivation of the HBRMI draws upon this definition process and sets the coupling angle as arcsin(X/@) for a Unitary 'Force' @=(#fG).cfpsE-Alpha/Alpha and with the electron mass replacing the fundamental nucleonmass 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 transmutating into the monopole string class IIB.

F-theory is a branch of string theory developed by Cumrun Vafa.[1] The new vacua described by F-theory 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
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