Abstract
The author presents how to make a link between the low temperature and low entropy of pre big bang state of cosmology as given by Carroll and Chen in 2005, to the quantum cosmology conditions predicted by Weinberg when the temperature reaches 1032 degrees Kelvin. We do this bridge building in our model construction as a way to get about the fact that cosmological CMB is limited by a red shift about z = 1100, so in order to get our suppositions consistent with observations, we also examine what happens in our model when we introduce quantization via a shift in values of the Hartle-Hawking wave function from a lower value of nearly zero to one which is set via an upper bound of the Planck’s constant of the order of 360 times the square of the Planck’s mass.
Highlights
Introduction to Physical Inputs into ThisProblemFirst of all we need to consider if there is an inherent fluctuation in early universe cosmology which is linked to a vacuum state nucleating out of “nothing”
What we will be doing is to reconcile how that wall was dissolved in early universe cosmology with quantum gravity models, brane world models, and Weinberg’s [2] published as of 1972 prediction of a threshold of 10 to the 32 power Kelvin for quantum effects becoming dominant in quantum gravity models
All of this is leading up to conditions in which we can expect relic graviton production which could account for the presence of strong gravitational fields in the onset of Guth style inflation, which would be in line with Penrose’s predictions via the Jeans inequality as to low temperature, low entropy conditions for pre inflationary cosmology
Summary
First of all we need to consider if there is an inherent fluctuation in early universe cosmology which is linked to a vacuum state nucleating out of “nothing”. Whereas, having Parks [4] value for a nearly infinite cosmological constant parameter, due to high temperatures would lead to, prior to graviton production ( ) ψ HH Park ≈ exp= −SE exp (3 ⋅ π 2 ⋅ GΛ) T →∞ → 0 This would allow us to make inroads into a solution to the cosmological landscape problem discussed by Guth in 2003 [2] at the Kalvi institute in UC Santa Barbara, i.e. why have 101000 or so independent vacuum states as predicted by String theory?
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