Matter in Toy Dynamical Geometries

TL;DR

This paper investigates how matter influences quantum dynamical geometries, demonstrating that matter can shape a geometry into an isotropic form, with implications for models of quantum geometry.

Contribution

It introduces a simple model showing matter's role in molding quantum geometries into isotropic configurations, highlighting its impact on expectation values of geometrical observables.

Findings

Matter can induce isotropy in quantum geometries

Matter significantly affects geometrical expectation values

Implications for atomistic quantum geometry models

Abstract

One of the objectives of theories describing quantum dynamical geometry is to compute expectation values of geometrical observables. The results of such computations can be affected by whether or not matter is taken into account. It is thus important to understand to what extent and to what effect matter can affect dynamical geometries. Using a simple model, it is shown that matter can effectively mold a geometry into an isotropic configuration. Implications for "atomistic" models of quantum geometry are briefly discussed.