Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics

TL;DR

This paper investigates black hole thermodynamics within loop quantum gravity, showing how semiclassical states and non-Hermitian evolution relate to entropy and Hawking radiation, offering insights into quantum horizon correlations and irreversible processes.

Contribution

It introduces a semiclassical framework in loop quantum gravity to explain black hole entropy and Hawking radiation through non-Hermitian evolution and horizon correlations.

Findings

Horizon correlations arise from SU(2) intertwiners.

Hawking radiation results from non-Hermitian evolution.

Entropy changes are linked to non-unitary horizon dynamics.

Abstract

In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) intertwiners. We further show that Hawking radiation is a consequence of a non-Hermitian term in the evolution operator, which is necessary for entropy production or depletion at the horizon. This non-unitary evolution is also rooted in formulations of irreversible physics.