Latticing quantum gravity

TL;DR

This paper explores a lattice approach to canonical quantum gravity using a connection formulation, comparing it with continuum methods and analyzing geometric operator spectra for simple quantum states.

Contribution

It introduces a lattice framework for quantum gravity, highlighting differences from continuum theories and examining geometric spectra in lattice states.

Findings

Lattice approach offers a discrete perspective on quantum gravity.

Spectra of geometric operators differ from continuum predictions.

Provides insights into the structure of quantum states on a lattice.

Abstract

I discuss some aspects of a lattice approach to canonical quantum gravity in a connection formulation, discuss how it differs from the continuum construction, and compare the spectra of geometric operators - encoding information about components of the spatial metric - for some simple lattice quantum states.