Polymer cosmology with polymer matter: Effective dynamics

TL;DR

This paper investigates how polymer quantization affects the early universe's dynamics, revealing asymmetric evolution and the influence of initial conditions and physical parameters on the quantum bounce.

Contribution

It introduces an effective dynamics framework for a polymer quantized scalar field on a polymer quantized background, analyzing the impact on cosmological bounce behavior.

Findings

Quantum bounce is affected by initial conditions and parameters.

Evolution across the bounce is generally asymmetric.

Polymer scale influences the bounce dynamics.

Abstract

We study the effective dynamics of a polymer quantized scalar field living on an effective polymer quantized homogeneous and isotropic background. We use a presureless dust field as an internal clock, and work with volume variables. Our results show how the quantum bounce in the early universe is affected as the initial conditions and various physical parameters -- including the scalar field polymer scale -- are varied. We also find, generically, that there is asymmetric evolution across the bounce.