Black hole entropy: statistical mechanics agrees thermodynamics

TL;DR

This paper demonstrates that the quantum thermodynamical entropy of a black hole matches its statistical-mechanical entropy, including UV-finite terms, using a two-dimensional example and regularization techniques.

Contribution

It shows the equivalence of thermodynamical and statistical-mechanical entropies for black holes, confirming their consistency in a simplified model.

Findings

Thermodynamical and statistical-mechanical entropies coincide.

UV-finite terms are included in the entropy comparison.

Regularization methods like Pauli-Villars are effective in this context.

Abstract

We discuss the connection between different entropies introduced for black hole. It is demonstrated on the two-dimensional example that the (quantum) thermodynamical entropy of a hole coincides (including UV-finite terms) with its statistical-mechanical entropy calculated according to 't Hooft and regularized by Pauli-Villars.