The entropy of large black holes in loop quantum gravity: A combinatorics/analysis approach

TL;DR

This paper investigates the entropy behavior of large black holes in loop quantum gravity, providing combinatorial analysis that supports the damping of entropy periodicity and confirms the asymptotic Bekenstein-Hawking law under certain conditions.

Contribution

It offers a combinatorics and analysis-based argument for entropy damping in large black holes within loop quantum gravity, clarifying conditions for Bekenstein-Hawking behavior.

Findings

Entropy periodicity damping for large black holes

Asymptotic Bekenstein-Hawking entropy confirmed

Dependence on the choice of the Immirzi constant

Abstract

The issue of a possible damping of the entropy periodicity for large black holes in Loop Quantum Gravity is highly debated. Using a combinatorics/analysis approach, we give strong arguments in favor of this damping, at least for prescriptions where the projection constraint is not fully implemented. This means that black holes in loop gravity exhibit an asymptotic Bekenstein-Hawking behavior, provided that a consistent choice of the Immirzi constant is made.