# Cosmological Singularities and a Conjectured Gravity/Coset Correspondence

## TL;DR

This paper explores a potential deep connection between the chaotic behavior of cosmological singularities in supergravity and the mathematical structure of hyperbolic Kac-Moody algebras, proposing a new perspective on the quantum nature of space at singularities.

## Contribution

It reviews the possible correspondence between supergravity near singularities and null geodesic motion on an infinite-dimensional coset space, suggesting a novel approach to understanding quantum cosmology.

## Key findings

- Identifies a link between chaotic singularities and hyperbolic Kac-Moody algebra E(10)
- Proposes a gravity/coset correspondence as a new theoretical framework
- Suggests implications for the quantum fate of space at singularities

## Abstract

We review the recently discovered connection between the Belinsky-Khalatnikov-Lifshitz-like ``chaotic'' structure of generic cosmological singularities in eleven-dimensional supergravity and the ``last'' hyperbolic Kac-Moody algebra E(10). This intriguing connection suggests the existence of a hidden ``correspondence'' between supergravity (or even M-theory) and null geodesic motion on the infinite-dimensional coset space K(E(10)). If true, this gravity/coset correspondence would offer a new view of the (quantum) fate of space (and matter) at cosmological singularities.