A Scenario for a Singularity-free Generic Cosmological Solution

TL;DR

This paper proposes a scenario where the universe avoids singularities by combining classical and quantum descriptions, using a WKB approximation to model anisotropies and quantum effects in cosmology.

Contribution

It introduces a novel approach to non-singular cosmological solutions by applying WKB approximation to anisotropic degrees of freedom in inhomogeneous models.

Findings

Universe can exhibit non-singular classical behavior with quantum oscillations.

WKB approximation effectively models the transition from singular to non-singular regimes.

Fragmentation process supports the generality of the non-singular scenario.

Abstract

We develop a scenario for the emergence of a non-singular generic cosmological solution based on the a WKB characterization of one of the two anisotropy degrees of freedom. We investigate the dynamics of the so-called inhomogeneous mixmaster in the "corner" configuration and inferring that one of the two anisotropic variables becomes small enough to explore the uncertainty principle. Then, we apply a standard WKB approximation to the dynamics of the Universe which has macroscopic volume, one macroscopic anisotropy and one microscopic quantum degree of freedom. Our study demonstrates the possibility that the Universe acquires a non-singular classical behavior, retaining the quantum degree of freedom as a small oscillating ripple on a stationary Universe. The role of the so-called "fragmentation process" is also taken into account in outlining the generality of such a behavior in independent local space regions.