The Black Hole Singularity as a Thermodynamic System being the Seat of BH Entropy

TL;DR

This paper proposes that black hole entropy is primarily localized at the singularity, suggesting a thermodynamic interpretation of the singularity itself, and discusses implications for information loss and microstructure differences.

Contribution

It introduces a novel perspective that black hole entropy resides in the singularity, challenging the conventional horizon-based view and linking entropy to singularity microstructure.

Findings

Entropy proportional to mass squared ($M^2$)

Entropy localized at the singularity rather than the horizon

Implications for information loss and microstructure differences

Abstract

We argue in this paper that the entropy of the BH is located in the BH singularity and that the localization around the event horizon is perhaps a secondary effect. We show in particular that the dependence of the entropy located in the singularity is also proportional to $M^2$. We furthermore show that our analysis leads in a natural way to information loss as the micro structure of the BH singularity is of a completely different character compared to ordinary quantum space time underlying our classical space time manifold.