**Authors:** Andrew Beckwith

The following document attempts to answer the role additional degrees of freedom have as to
initial inflationary cosmology. I.e. the idea is to cut down on the number of independent variables
to get as simple an emergent space time structure of entropy and its generation as possible. One
parameter being initial degrees of freedom, the second the minimum allowed grid size in space
time, and the final parameter being emergent space time temperature. In order to initiate this
inquiry, a comparison is made to two representations of a scale evolutionary Friedman equation,
with one of the equations based upon LQG, and another involving an initial Hubble expansion
parameter with initial temperature T_{Planck} ~ 10^{19} GeV used as an input
into T^{4} times N(T).
Initial assumptions as to the number of degrees of freedom has for T_{Planck} ~ 10^{19} GeV a
maximum value of N(T) ~ 10^{3} . Making that upper end approximation for the value of permissible
degrees of freedom is dependent upon a minimum grid size length as of about
l_{Planck} ~ 10^{33}l centimeters. Should the minimum uncertainty grid size for space time be higher
than l_{Planck} ~ 10^{33} centimeters, then top value degrees of freedom of phase space as given by a
value N(T) ~ 10^{3} drops. In addition, the issue of bits, i.e. information is shown to not only have
temperature dependence, but to be affected by minimum 'grid size' as well. A bifurcation diagram
argument involving Hemoltz free energy as a 'driver' to push through a transition from a prior
universe to the present universe, with classical physics behavior down to a grid size of
l_{Planck} ~ 10^{33} centimeters ( i.e. start of quantum gravity effects) is employed to invoke use of
classical physics down to l_{Planck} ~ 10^{33} centimeters. Subsequent chaotic dynamics during the
expansion phase driven by Helmholtz free energy leads to up to N(T) ~ 10^{3} degrees of freedom at
the start of the inflationary regime. The possibility this semi classical argument for increase of the
degrees of freedom up to N(T) ~ 10^{3} is tied in with the possible emergence of space time E8
embedding is included as a speculative bonus. This is akin to Bogolyubov "spontaneous" particle
creation arguments outlined in the article.

**Comments:**
10 pages, 1 figure

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[v1] 1 Sep 2010

[v2] 3 Sep 2010

[v3] 4 Sep 2010

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