Abstract
We use Padmabhan’s “Invitation to Astrophysics” formalism of a scalar field evolution of the early universe, from first principles, to show something which seems counter intuitive. How could, just before inflation, kinetic energy be larger than potential energy in pre-Planckian physics, and what physics mechanism is responsible for the Planckian physics result that Potential energy is far larger than kinetic energy. This document answers that question, as well as provides a mechanism for the dominance of kinetic energy in pre-Planckian space-time, as well as its reversal in the Planckian era of cosmology. The kinetic energy is proportional to , with initial degrees of freedom, and T the initial temperature just before the onset of inflation. Our key assumption is the smallness of curvature, as given in the first equation, which permits adoption of the Potential energy and Kinetic energy formalism used, in the Planckian and pre-Planckian space-time physics. Interpretation of this result, if done correctly, will be able to allow a correct distinguishing of relic gravitational waves, as to avoid the BICEP 2 pickup of galactic dust as a false relic Gravitational wave signal, as well as serve as an investigative template as to if quantum gravity is embedded in a deterministic dissipative system, as cited in the conclusion.
Highlights
As to how one could invert the supposition of inflation, [1], that the Kinetic energy would be much larger than the Potential energy [2]
We argue that a third polarization in Gravitational waves from the early universe may be detected, if there is proof positive that in the pre-Planckian regime that the Corda conjecture [20] as given below, namely if the following analysis is part of our take on relic gravitational waves, is supported by the kinetic energy being larger than the potential energy, namely what if
If the T is of the order of Planck temperature, say 1032 Kelvin, the above will have a lower graviton mass value of about 10−66 grams
Summary
(2016) Gedanken Experiment Examining How Kinetic Energy Would Dominate Potential Energy, in Pre-Planckian Space-Time Physics, and Allow Us to Avoid the BICEP 2 Mistake. In the pre-Planckian space time regime we will have, a kinetic energy term with imaginary time, and that the points just before Planck time will have a Potential energy as given by an imaginary time component as set by φ (τ ) 2
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