Microscopic derivation of the Bekenstein-Hawking entropy for Schwarzschild black holes

TL;DR

This paper derives the Bekenstein-Hawking entropy for Schwarzschild black holes across dimensions using a novel phase space approach, revealing their thermodynamics resemble a one-dimensional quantum system and implying holographic properties in the early universe.

Contribution

It provides a microscopic derivation of black hole entropy via a non-trivial phase space, linking black hole thermodynamics to quantum mechanics and holography.

Findings

Black hole thermodynamics behaves like a 1D quantum system

Black holes should be viewed as systems with P=ρ

Holographic stage may have existed in the early universe

Abstract

In this paper, we successfully derive the Bekenstein-Hawking entropy for Schwarzschild black holes in various dimensions by using a non-trivial phase space. It is appealing to notice that the thermodynamics of a Schwarzschild black hole actually behaves like that of a $1$-dimensional quantum mechanical system. Our result suggests that black hole should be viewed as a system with the equation of state $P=\rho$, and it also suggests that a holographic stage should exist in the early universe.