**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* |
TemperatureK* |
Significance |

1. Planck-Boson I/SEWG |
t_{P}=2pr_{P}/c4.377x10 ^{-43} |
1.313x10^{-34} |
1.523 GJ* or 9.482x10^{27} eV* |
7.617x10^{33} |
1.079x10^{32 } |
Outside Hubble Horizon Limit in Protoverse |

2. Monopole-Boson IIB/SEWg GI-GUT decoupling |
t_{M}=2pr_{M}/c1.537x10 ^{-40} |
4.6110x10^{-32} |
4.337 MJ* or 2.700x10^{25} eV* |
2.169x10^{31} |
3.072x10^{29} |
Outside Hubble Horizon Limit in Protoverse |

3. XL-Boson HO32/SEW.G |
t_{XL}=2pr_{XL}/c2.202x10 ^{-39} |
6.605x10^{-31} |
302.817 kJ* or 1.885x10^{24} eV* |
1.514x10^{30} |
2.145x10^{28} |
Outside Hubble Horizon Limit in Protoverse |

4. ECosmic Bosons IIA/SeW.G SNI decoupling |
t_{EC}=2pr_{EC}/c6.717x10 ^{-34} |
2.015x10^{-25} |
0.9927 J* or 6.180x10^{18} eV* |
4.964x10^{24} |
7.032x10^{22} |
Galactic Supercluster Sarkar M _{o}=R_{Sarkar}c^{2}/2G_{o} Scale |

5. False Higgs Vacuum | t_{HiggsPE}=2pr_{HiggsPE}/ct _{ps}.T(n_{ps})/T_{algo}1.297x10 ^{-32 } |
3.891x10^{-24} |
0.0514 J* or 3.200x10^{17} eV* |
2.570x10^{23} |
3.641x10^{21} |
Galactic Supercluster Scale |

6. Weyl-Boson HE64/S.EW.G Big Bang-Instanton EMI decoupling |
t_{ps}=2pr_{ps}/c3.333x10 ^{-31} |
1.000x10^{-22} |
0.002 J* or 1.245x10^{16} eV* |
1.000x10^{22} |
1.417x10^{20} |
Galactic Halo(Group) Scale |

7. T(n)=T_{ps}Bosonic Unification |
t_{BU}=n_{BU}/H_{o}1.897x10 ^{-9} |
0.56902 Protoverse |
T(n)^{4} = {[n+1]^{2}/n^{3}}H_{o}M_{o}c^{2}/(2p^{2}sR_{H}^{2}[550]) = 18.1995{[n+1]^{2}/n^{3}} (K^{4}/V)* |
1.757 Protoverse |
T _{ps}-bosonicT _{EW}^{4}=18.2[n+1] ^{2}/n^{3}n=H _{o}t_{BU} |
Unitary Modular Geometric Mean Scale |

8. Higgs Boson Vacuum Electroweak WNI decoupling |
t_{EW}=n_{EW}/H_{o}0.00274~1/365 |
4.167x10^{-18}Quantum Scale |
4.799x10^{-8} J* or 298.785 GeV* |
2.400x10^{17} |
3.400x10^{15} |
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 y

^{2}dV 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=i

^{2}as the complex origin.

But 0.236067..= X

^{3}, 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=√e

^{2}/2e

_{o}hc=√(60pe

^{2}/h) in standard and in string units, reduces the SNI finestructure constant # by a factor Alpha

^{1/6 }; 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 E

_{ps}E

_{ss}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)=J

_{o}=2e/hA = 0.9927298 1/J* or 6.2705x10

^{9}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 2.7x10

^{16}GeV*.

1-J

_{o}=0.00727021 approximates r

_{g}/r

_{10}c

^{2}=4/550=0.007272... approximates Alpha at n=n

_{ps}.

The Unity of the SNI transforms to [1-X]=X

^{2}and the EMI transforms as the Interaction of Invariance from X to X.

The Weak Nuclear Interaction or WNI as X

^{2}becomes [1+X]=1/X and the Gravitational Interaction or GI transforms as X

^{3}transforms to [2+X]=1/X

^{2}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)=u

^{4}+2u

^{3}-u

^{2}-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 X

^{2}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→x

^{3}with the Alpha-Unity squaring in the functionality of the WNI and defining G-Alpha as Alpha

^{18}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):

m

_{c}=m

_{planck }Alpha

^{9}from the electromagnetic string unification with gravitation in the two dimensionless finestructures:

**For Gravitational Mass Charge from higher D Magnetic Charge: 1=2pG.m**

_{planck}^{2}/hc**For Electromagnetic Coulomb Charge as lower D Electric Charge: Alpha=2pke**

^{2}/hcAlpha as the universal masterconstant of creation, then becomes defined via the Riemann Analysis from XY=i

^{2}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' @=(#f

_{G}).cf

_{ps}E-Alpha/Alpha and with the electron mass replacing the fundamental nucleonmass m

_{c}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 f

_{G}f

_{S}=1 in modular definition of a characteristic GI-mass #f

_{G}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.

https://en.wikipedia.org/wiki/F-theoryF-theoryis 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 torusClick to expand...