Geometry from quantum particles

TL;DR

This paper explores how global spacetime symmetries can emerge from a background independent quantum gravity theory that does not rely on quantum geometry, using quantum information techniques.

Contribution

It introduces a novel approach employing quantum error correction methods to derive spacetime symmetries without assuming geometric structures.

Findings

Global spacetime symmetries can emerge without geometric assumptions

Quantum error correction techniques can extract particles from quantum gravity models

Provides a framework linking quantum information theory with quantum gravity

Abstract

We investigate the possibility that a background independent quantum theory of gravity is not a theory of quantum geometry. We provide a way for global spacetime symmetries to emerge from a background independent theory without geometry. In this, we use a quantum information theoretic formulation of quantum gravity and the method of noiseless subsystems in quantum error correction. This is also a method that can extract particles from a quantum geometric theory such as a spin foam model.