Detailed black hole state counting in loop quantum gravity

TL;DR

This paper provides a detailed analysis of black hole entropy in loop quantum gravity using advanced number-theoretic and combinatorial methods, revealing new features of the entropy spectrum for small black holes.

Contribution

It introduces novel mathematical techniques to analyze the black hole entropy spectrum in loop quantum gravity with greater precision.

Findings

Detailed structure of the entropy spectrum for small black holes

Identification of features not seen in previous calculations

Progress towards understanding entropy behavior at large horizon areas

Abstract

We give a complete and detailed description of the computation of black hole entropy in loop quantum gravity by employing the most recently introduced number-theoretic and combinatorial methods. The use of these techniques allows us to perform a detailed analysis of the precise structure of the entropy spectrum for small black holes, showing some relevant features that were not discernible in previous computations. The ability to manipulate and understand the spectrum up to the level of detail that we describe in the paper is a crucial step towards obtaining the behavior of entropy in the asymptotic (large horizon area) regime.