Classical analog of quantum Schwarzschild black hole: local vs global, and the mystery of log(3)

TL;DR

This paper presents a classical model mimicking quantum black hole properties locally, providing insights into the log(3) puzzle by connecting quantum collapse features with classical thermodynamics.

Contribution

It introduces a classical analog model where global black hole properties become local, offering a new perspective on the log(3) puzzle rooted in quantum collapse features.

Findings

Global properties like horizon and entropy are modeled as local.

The model explains the log(3) puzzle using classical thermodynamics.

Quantum collapse features inform the classical black hole analogy.

Abstract

The model is built in which the main global properties of classical and quasi-classical black holes become local. These are the event horizon, "no-hair", temperature and entropy. Our construction is based on the features of a quantum collapse, discovered when studying some quantum black hole models. But our model is purely classical, and this allows to use selfconsistently the Einstein equations and classical (local) thermodynamics and explain in this way the log(3)-puzzle.