**2.5 The Continuous Inflaton in 10D/4D DeSitter Spacetime**

In the early radiation dominated cosmology; the quintessence was positive and the matter energy dominated the intrinsic Milgröm deceleration from the Instanton n=n_{ps} to n=0.18023 (about 3.04 Billion years) when the quintessence vanished and including a Recombination epoch when the hitherto opaque universe became transparent in the formation of the first hydrogen atoms from the quark-lepton plasma transmuted from the X-L Boson string class HO(32) of the Inflaton epoch preceding the Quantum Big Bang aka the Instanton.

From the modular membrane duality for wormhole radius r_{ps }= l_{ps}/2p, the critical modulated Schwarzschild radius r_{ss }= 2pl_{ss} = 2px10^{22} m* for l_{ps} = 1/l_{ss}

and for an applied scalefactor a = n/[n+1] = l_{ss}/R_{H} = {1-1/[n+1]}

for a n=H_{o}t coordinate n_{recombination} = 6.259485x10^{-5 }or about 6.259485x10^{-5}(16.88 Gy) = 1.056601 Million years

attenuated by exp{-hf/kT} = e^{-1} = 0.367879 to a characteristic cosmological time coordinate of 0.36788x1.056601 = 388,702 years after the Instanton n_{ps}.

The attenuation of the recombination coordinate then gives the cosmic temperature background for this epoch in the coordinate interval for the curvature radius

R(n=2.302736x10^{-5}) = 3.67894x10^{21} m* to R(n=6.259485x10^{-5}) = 10^{22} m*.

This radial displacement scale represents the size of a typical major galaxy in the cosmology; a galactic structure, which became potentialised in the Schwarzschild matter evolution and its manifestation in the ylemic prototypical first generation magnetar-neutron stars, whose emergence was solely dependent on the experienced cosmic temperature background and not on their mass distributions.

The temperature evolution of the Instanton can be written as a function of the luminosity L(n,T) with R(n)=R_{H}(n/[n+1]) as the radius of the luminating surface

L(n_{ps},T(n_{ps}) = 6π^{2}l_{ps}^{2}.σ.T_{nps}^{4 }= 2.6711043034x10^{96 }Watts*, where σ = Stefan's Constant = 2π^{5}k^{4}/15h^{3}c^{2} and as a product of the defined 'master constants' k, h, c^{2}, π and 'e'.

L(n,T) = 3H_{o}M_{o}.c^{2}/550n and for Temperature T(n_{ps}) ----------- T(n_{ps}) = 2.93515511x10^{36 }Kelvin*.

T(n)^{4} = H_{o}M_{o}c^{2}/(2p^{2}sR_{H}^{2}[550n^{3}/[n+1]^{2}]) for

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)*

for a temperature interval in using the recombination epoch coordinates T(n_{1}=6.2302736x10^{-5}) = 2945.42 K* to T(n_{2}=6.259485x10^{-5}) = 2935.11 K*

This manifests as a 'false vacuum' and as a temperature gradient, as a causation of the Big Bang Instanton 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.

T(n_{ps}) of the singularity is 0.0389 or 3.89% of the pre-singularity.

So the POTENTIAL Temperature manifests as 3.89% in the KINETIC Temperature' which doubles in the Virial Theorem to 7.78% as 2KE + PE = 0:

TEMPERATURE/T(n_{ps})=7.544808988..x10^{37}/2.93515511x10^{36}=25.705=1/0.03890...

Applying the actual VPE at the Instanton to this temperature gradient:

r_{VPE}/r_{EMR} = {4pE_{ps}/l_{ps}3}/{8p^{5}E_{ps}^{4}/15h^{3}c^{3}} = 15/2p^{4} = 0.07599486.. = 1/12.9878.. indicating the proportionality E_{VPE}/E_{EMR} = 2T_{ps}/T_{potential} at the Instanton from the Inflaton as a original form of the vbirial theorem, staing the Kinetic Energy of the Instanton and the QBB Lambda to be twice the Potential Energy of the de Broglie wave matter Inflaton, then manifesting as the M_{o}/2M_{Hubble }= r_{Hyper}/2R_{Hubble} Schwarzschild mass cosmo-evolution.

Now reducing the timeinstanton t_{ps}=n_{ps}/H_{o} of 3.33x10^{-31 }seconds by the Temperature Gradient in the Luminosity Function gives you the scalar Higgs Potential Maximum at a pre-singularity time of t_{HiggsPE}=t_{ps}.T(n_{ps})/TEMPERATURE=1.297x10^{-32 }seconds.

This then extrapolates the Big Bang singularity backwards in Time to harmonise the equations and to establish the 'driving force of the vacuum' as potential scalar Higgs Temperature Field.

All the further evolvement of the universe so becomes a function of Temperature and not of mass.

The next big phasetransition is the attunement of the BOSONIC UNIFICATION, namely the 'singularity' temperature T_{ps}=1.41x10^{20} K with the Luminosity function.

This occurs at a normal time of 1.9 nanoseconds into the cosmology.

It is then that the universe as a unity has this temperature and so allows BOSONIC differentiation between particles. The INDIVIDUATED PHOTON of the mass was born then and not before, as the entire universe was a PHOTON as a macroquantised superstring up to then.

The size of the universe at that time was that of being 1.14 metres across.

Next came the electroweak symmetry breaking at 1/365 seconds and at a temperature of so 10^{15} Kelvin* and so it continued.

The lower dimensional lightpath x=ct in lightspeed invariance c=lf so becomes modular dualised in the higher dimensional lightpath of the tachyonic de Broglie Inflaton-Instanton V_{debroglie}=c/n_{ps} of the Inflaton.

{(2-n)(n+1)}^{3}/n^{3} = V_{dS'}/V_{dS} ......(4.36038 for n_{present}) in the first completing Hubble cycle

n^{3}/(2-n)^{3} =V_{AdS}/V_{dS'} ................. (2.22379 for n_{present}) in the first completing Hubble cycle

(n+1)^{3} = VA_{dS}/V_{dS} .....................(9.69657 for n_{present}) in the first completing Hubble cycle

r_{critical} = 3H_{o}^{2}/8pG_{o} {Sphere} and H_{o}^{2}/4p^{2}G_{o} {Hypersphere-Torus in factor 3p/2} (constant for all n per Hubble cycle)

r_{critical} = 3.78782x10^{-27} [kg/m^{3}]* and 8.038003x10^{-28 }[kg/m^{3}]*

r_{dS}V_{dS} = r_{dS'}V_{dS'} = r_{AdS}V_{AdS} = r_{critical}V_{Hubble} = M_{Hubble} = c^{2}R_{H}/2G_{o} = 6.47061227x10^{52} kg*