Primordial fluctuations from quantum gravity: 16-cell topological model

TL;DR

This paper numerically analyzes a quantum gravity model of the early universe using covariant Loop Quantum Gravity, focusing on a 16-cell topological truncation, and finds that refinement does not significantly alter the overall physical picture.

Contribution

It introduces a numerical approach to study the Hartle-Hawking state in quantum gravity using a 16-cell topological model within the covariant Loop Quantum Gravity framework.

Findings

Mean geometry and fluctuations computed

Results show refinement does not change global picture

Supports stability of quantum cosmological models

Abstract

We present a numerical analysis of an Hartle-Hawking state for the early universe, in the deep quantum regime, computed using the covariant Loop Quantum Gravity formalism, in a truncation defined by 16-cell and in a simplified case where the dynamics is defined by SU(2) BF theory. We compute mean geometry, fluctuations and correlations. The results are consistent with the hypothesis that refining the triangulation does not affect the global physical picture substantially.