Bouncing Unitary Cosmology II: Mini-Superspace Phenomenology

TL;DR

This paper explores a bouncing cosmological model that resolves singularities and exhibits inflation-like behavior, demonstrating insensitivity to Planck-scale physics within a Rayleigh-scattering limit through analytical and numerical analysis.

Contribution

It introduces a novel phenomenological analysis of specific solutions in a bouncing unitary cosmology model, highlighting a Rayleigh-scattering limit with inflation-like effective physics.

Findings

Solutions follow classical cosmology before bouncing

Identification of a Rayleigh-scattering limit insensitive to Planck-scale details

Analytical and numerical confirmation of effective inflation-like behavior

Abstract

A companion paper provides a proposal for cosmic singularity resolution based upon general features of a bouncing unitary cosmological model in the mini-superspace approximation. This paper analyses novel phenomenology that can be identified within particular solutions of that model. First, we justify our choice of particular solutions based upon a clearly articulated and observationally-motivated principle. Second, we demonstrate that the chosen solutions follow a classical mini-superspace cosmology before smoothly bouncing off the classically singular region. Third, and most significantly, we identify a `Rayleigh-scattering' limit for physically reasonable choices of parameters within which the solutions display effective behaviour that is insensitive to the details of rapidly oscillating Planck-scale physics. This effective physics is found to be compatible with an effective period of cosmic inflation well below the Planck scale. The detailed effective physics of this Rayleigh-scattering limit is provided via: i) an exact analytical treatment of the model in the de~Sitter limit; and ii) numerical solutions of the full model.