On Classical Analogs of Quantum Schwarzschild and Reissner-Nordstrom Black Holes. Solving the "Mystery of log(3)"

TL;DR

This paper presents a classical model that reproduces key black hole properties and explains the 'log(3)' puzzle by leveraging features of quantum collapse within a purely classical framework.

Contribution

It introduces a classical analog model of black holes that makes global properties local and explains the 'log(3)' puzzle using classical thermodynamics and Einstein equations.

Findings

Reproduces black hole horizon, temperature, and entropy as local properties.

Provides a classical explanation for the 'log(3)' puzzle.

Bridges quantum collapse features with classical black hole models.

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 while studying some quantum black hole models. But it is purely classical, and this allows to use the Einstein equations and classical (local) thermodynamics and explain in this way the "log(3)" - puzzle.