Conserved Quantities in Background Independent Theories

TL;DR

This paper explores how background independent quantum geometric theories can transition to classical general relativity by identifying collective excitations through quantum information methods, specifically noiseless subsystems.

Contribution

It introduces a novel approach using quantum information techniques to find effective excitations in background independent theories, aiding the understanding of the low energy limit.

Findings

Identification of collective excitations in locally evolving graphs

Application of noiseless subsystems to quantum geometric models

Insights into the phase transition from pre-geometric to geometric phases

Abstract

We discuss the difficulties that background independent theories based on quantum geometry encounter in deriving general relativity as the low energy limit. We follow a geometrogenesis scenario of a phase transition from a pre-geometric theory to a geometric phase which suggests that a first step towards the low energy limit is searching for the effective collective excitations that will characterize it. Using the correspondence between the pre-geometric background independent theory and a quantum information processor, we are able to use the method of noiseless subsystems to extract such coherent collective excitations. We illustrate this in the case of locally evolving graphs.