Towards inhomogeneous loop quantum cosmology: triangulating Bianchi IX with perturbations

TL;DR

This paper discusses progress in developing inhomogeneous loop quantum cosmology by using a constrained SU(2) lattice gauge theory with a dipole approximation, aiming to connect cosmological models with full loop quantum gravity.

Contribution

It advances the formulation of inhomogeneous loop quantum cosmology by employing a lattice gauge theory approach with perturbations, bridging simplified models and full quantum gravity.

Findings

Development of a constrained SU(2) lattice gauge theory in dipole approximation

Progress towards integrating inhomogeneous cosmological models into loop quantum gravity

Establishment of a framework for future inhomogeneous LQC studies

Abstract

This brief article sums up results obtained in arXiv:0911.2653, which develops a constrained SU(2) lattice gauge theory in the "dipole" approximation. This is a further step toward the issue of a (inhomogeneous) loop quantum cosmology and its merging into loop quantum gravity.