Black hole entropy and isolated horizons thermodynamics

TL;DR

This paper develops a statistical mechanical framework for non-rotating isolated horizons, deriving universal temperature, energy, and entropy consistent with Hawking's semiclassical results, using Planck scale and quantum geometry.

Contribution

It introduces a microcanonical and canonical ensemble approach to black hole thermodynamics for isolated horizons, providing a quantum geometric derivation of entropy.

Findings

Horizon temperature is universal and independent of black hole mass

Black hole entropy matches Hawking's semiclassical results

Consistent thermodynamics derived in both ensembles

Abstract

We present a statistical mechanical calculation of the thermodynamical properties of (non rotating) isolated horizons. The introduction of Planck scale allows for the definition of an universal horizon temperature (independent of the mass of the black hole) and a well-defined notion of energy (as measured by suitable local observers) proportional to the horizon area in Planck units. The microcanonical and canonical ensembles associated with the system are introduced. Black hole entropy and other thermodynamical quantities can be consistently computed in both ensembles and results are in agreement with Hawking's semiclassical analysis for all values of the Immirzi parameter.