Abstract

This paper is to address using what a fluctuation of a metric tensor leads to, in pre Planckian physics. If so then, we pick the conditions for an equality, with a small δgn, to come up with restraints which are in line with modifications of the Friedman equation in a quantum bounce, with removal of the Penrose theorem initial singularity. In line with super negative pressure being applied, so as to understand what we can present as far as H = 0 (quantum bounce) in terms of density of the Universe. And also considering what to expect when P = wΔρ ~ (-1+e+)Δρ, i.e. we have a negative energy density in Pre Planckian space-time. This leads to a causal discontinuity between Pre Planckian to Planckian space-time due to the sign of the inflaton changing from minus to positive, for reasons brought up in this manuscript, i.e. looking at Equations (9)-(11) of this document, with explanations as to what is going on physically.

Highlights

  • This paper is to address using what a fluctuation of a metric tensor leads to, in pre Planckian physics

  • We pick the conditions for an equality, with a small δ gtt, to come up with restraints which are in line with modifications of the Friedman equation in a quantum bounce, with removal of the Penrose theorem initial singularity

  • In Equations (9)-(11) of the following document, outline the point of the document, i.e. a change in the inflaton field, from a “negative” to a “positive” field contribution, leading to a counter intuitive result, namely that there would be a causal barrier when the inflaton field would vanish in the denomina

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Summary

Introduction

In Equations (9)-(11) of the following document, outline the point of the document, i.e. a change in the inflaton field, from a “negative” to a “positive” field contribution, leading to a counter intuitive result, namely that there would be a causal barrier when the inflaton field would vanish in the denomina-. A. Beckwith tor of the derived energy density expression, about at the boundary between Pre Planckian to Planckian space-time physics. 2. Setting up the Template for the Vanishing of the Inflaton in the Boundary between Pre Planckian Space-Time to Planckian Space-Time. We use Freeze et al Phantom bounce [1] plus Padmahan’s inflaton value [2] in the case of ( ) a t ~ astarting-point ⋅ tα in order to come up with a criterion as to initial mass. As given by [1] we have at a non singular bounce model of Cosmology a modified Friedman Equation of the form

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