Discrete Black Holes

TL;DR

This paper reviews discrete models of spacetime, focusing on a specific black hole model, and explores how quantum matter fields can be incorporated using discrete canonical evolution, highlighting key implications.

Contribution

It introduces a particular discrete black hole model and proposes a framework for quantum matter field dynamics within it using discrete canonical evolution.

Findings

Discrete black hole models can incorporate quantum matter fields.

Discrete canonical evolution offers a promising approach for field dynamics.

Implications include new insights into quantum aspects of black holes.

Abstract

The classical spacetime is usually described by a differentiable manifold with infinitely many degrees of freedom. Occasionally though, it is useful to consider an approximation whose number of degrees of freedom is finite. There are several discrete models of spacetime like that, some of which have been used to build a (simplified) representation of a black hole. We will shortly revisit these discrete black hole models. Then we limit ourselves to one particular case and show how it can be inhabited by quantum matter fields. It is suggested that the field dynamics should be described by the framework of discrete canonical evolution, and we point out some of the most significant implications of this approach.