On area and entropy of a black hole

TL;DR

This paper models black hole entropy using elementary components, demonstrating the area law, absence of Bose condensation, significant local fluctuations, and equidistant quantization of the horizon area within quantum gravity frameworks.

Contribution

It introduces a model treating black hole components as distinguishable, deriving the area law and revealing new insights into area quantization and fluctuations.

Findings

Area law for black hole entropy confirmed

No Bose condensation occurs in the model

Horizon area exhibits large local fluctuations

Abstract

We consider a model of a black hole consisting of a number of elementary components. Examples of such models occur in the Ashtekar's approach to canonical Quantum Gravity and in M-theory. We show that treating the elementary components as completely distinguishable leads to the area law for the black hole entropy. Contrary to previous results, we show that no Bose condensation occurs, the area has big local fluctuations and that in the framework of canonical Quantum Gravity the area of the black hole horizon is equidistantly quantized.