Symmetries,Singularities and the De-Emergence of Space

TL;DR

This paper explores how connections between spacelike singularities in General Relativity and hyperbolic Kac--Moody algebras could revolutionize our understanding of quantum spacetime and support background independence in quantum gravity.

Contribution

It proposes that the link between singularity analysis and infinite-dimensional Lie algebras offers a new perspective on the quantum nature of spacetime and the de-emergence of space near singularities.

Findings

Potential for a new quantum gravity framework

Insight into the de-emergence of space at singularities

Connections between Lie algebras and spacetime structure

Abstract

Recent work has revealed intriguing connections between a Belinsky-Khalatnikov-Lifshitz-type analysis of spacelike singularities in General Relativity and certain infinite dimensional Lie algebras, and in particular the `maximally extended' hyperbolic Kac--Moody algebra E10. In this essay we argue that these results may lead to an entirely new understanding of the (quantum) nature of space(-time) at the Planck scale, and hence -- via an effective `de-emergence' of space near a singularity -- to a novel mechanism for achieving background independence in quantum gravity.