Partition Function of the Schwarzschild Black Hole

TL;DR

This paper presents a microscopic model of a Schwarzschild black hole's stretched horizon, deriving an explicit partition function that predicts Hawking radiation and offers a statistical interpretation of black hole thermodynamics.

Contribution

It introduces a finite-constituent model of the stretched horizon and derives an explicit partition function linking microscopic states to black hole thermodynamics.

Findings

Partition function predicts Hawking radiation.

Provides a microscopic, statistical interpretation of black hole thermodynamics.

Model suggests discrete constituents encode quantum states.

Abstract

We consider a microscopic model of a stretched horizon of the Schwarzschild black hole. In our model the stretched horizon consists of a finite number of discrete constituents. Assuming that the quantum states of the Schwarzschild black hole are encoded in the quantum states of the constituents of its stretched horizon in a certain manner we obtain an explicit, analytic expression for the partition function of the hole. Our partition function predicts, among other things, the Hawking effect, and provides it with a microscopic, statistical interpretation.