Black hole motion in Euclidean space as a diffusion process II

TL;DR

This paper introduces a diffusion equation framework for black hole thermodynamics in Euclidean space, deriving entropy formulas that align with Bekenstein-Hawking entropy, including logarithmic corrections.

Contribution

It presents a novel diffusion equation approach to black hole thermodynamics in Euclidean space, connecting it with established entropy results.

Findings

Derived a diffusion equation from the Bloch equation for Euclidean black holes.

Showed that the entropy of Kerr-Newman black holes matches Bekenstein-Hawking entropy with logarithmic corrections.

Established a new theoretical framework linking diffusion processes and black hole thermodynamics.

Abstract

A diffusion equation approach to black hole thermodynamics in Euclidean sector is proposed. A diffusion equation for a generic in Euclidean sector is derived from the Bloch equation. Black hole thermodynamics is also derived and it is found, in particular, that the entropy of a generic Kerr-Newman black hole is the same, apart from the logarithmic corrections, as the Bekenstein-Hawking entropy of the black hole.