Energy Scale of the Big Bounce

TL;DR

This paper investigates the Big Bounce in loop quantum cosmology using an alternative quantization method, analyzing the energy scale and physical observables, and highlighting the need for observational input to determine the bounce energy scale.

Contribution

It introduces a new canonical quantization approach to loop quantum cosmology, enabling analysis of physical spectra and emphasizing the role of observational data.

Findings

The energy scale of the Big Bounce cannot be determined solely from loop geometry.

The method allows analysis of spectra of physical observables like energy density and volume.

An extra observational input is necessary to specify the bounce energy scale.

Abstract

We examine the nature of the cosmological Big Bounce transition within the loop geometry underlying loop quantum cosmology at classical and quantum levels. Our canonical quantization method is an alternative to the standard loop quantum cosmology. An evolution parameter we use has a clear interpretation. Our method opens the door for analyses of spectra of physical observables like the energy density and the volume operator. We find that one cannot determine the energy scale specific to the Big Bounce by making use of the loop geometry without an extra input from observational cosmology.