Wigner meets 't Hooft near the black hole horizon

TL;DR

This paper explores how random matrix models provide a non-perturbative framework for understanding black hole microstates and thermodynamics, uniting geometric and statistical approaches in quantum gravity.

Contribution

It introduces a non-perturbative method using random matrix models to analyze black hole microstates and their thermodynamic properties.

Findings

Random matrix models unify geometric and statistical descriptions of black holes.

Explicit microstates of quantum gravity are excavated using this approach.

Applications to low temperature black hole dynamics are demonstrated.

Abstract

Recent work on Euclidean quantum gravity, black hole thermodynamics, and the holographic principle has seen the return of random matrix models as a powerful tool. It is explained how they allow for the study of the physics well beyond the perturbative expansion. In fact, a fully non-perturbative treatment naturally unites the familiar approach of summing over smooth geometries of all topologies with the statistical approach to characterizing the typical properties of a Hamiltonian. Remarkably, this leads to an explicit excavation of the underlying microstates of quantum gravity that has applications to the low temperature dynamics of a large class of black holes.