## How a Setting of the Vacuum Energy Density, to Today’s Value in the Early Universe, Leads to an Initial Hubble Radius for the Early Universe. I.e. How the Early Universe Partly Mimics a Black Hole.

**Authors:** Andrew Beckwith

First we review what was done by Klauber, in his quantum field theory calculation of the Vacuum energy density, and in doing so, use, instead of Planck Mass, which has 10^19 GeV, which leads to an answer 10 ^ 122 times too large, a cut off value of instead, a number, N, of gravitons , times graviton mass (assumed to be about 10^-43 GeV) to get a number, N, count of about 10^31 if the vacuum energy is to avoid an overshoot of 10^122, and instead have a vacuum energy 10^-47GeV^4. Afterwards, we use the results of Mueller and Lousto, to compare the number N, of 10^31, assumed to be entropy using Ng’ infinite quantum statistics , to the ratio of the square of (the Hubble (observational ) radius over a calculated grid size which we call a) . Here, a ~ a minimum time step we call delta t, times the speed of light. Now in doing so we use a root finder procedure to obtain were we use an inflaton value due to use of a scale factor if we furthermore use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planckian space-time initial values.

**Comments:** 6 Pages.

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### Submission history

[v1] 2017-05-21 19:45:25

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