SAdS black holes and spacetime atoms: a heuristic approach

TL;DR

This paper models non-rotating AdS black holes as ensembles of spacetime atoms using statistical mechanics, deriving their equations of state and entropy through heuristic gravitational constraints.

Contribution

It introduces a novel heuristic approach combining extended phase space and holographic principles to describe black holes as spacetime atom ensembles.

Findings

Derived Van der Waals equation of state for SAdS black holes.

Established a statistical mechanics framework for black hole entropy.

Generalized the model to charged and higher-dimensional black holes.

Abstract

In this work, both extended phase space and holographic equipartition approaches are employed to develop an exact Van der Waals description of non--rotating $D=4$ SAdS black holes as an ensemble of spacetime atoms. After a possible microscopical interaction model is introduced, statistical mechanics techniques, with certain heuristic gravitational constraints, are used to derive the equation of state and the Bekenstein--Hawking entropy. The procedure is generalized to the charged $D=4$ SAdS black hole and to arbitrary $D\ge 3$ dimensions for the uncharged cases.