Entropy in the interior of a black hole and thermodynamics

TL;DR

This paper explores the entropy within a black hole's interior, linking it to surface area and vacuum polarization effects, thus contributing to understanding black hole thermodynamics.

Contribution

It introduces a new calculation of interior entropy based on a recent volume proposal and connects it to black hole surface area and vacuum polarization.

Findings

Entropy inside black holes is proportional to surface area.

Vacuum polarization near the horizon influences black hole thermodynamics.

The interior volume concept helps unify black hole entropy and thermodynamics.

Abstract

Based on a recent proposal for the volume inside a black hole, we calculate the entropy associated with this volume and show that such entropy is proportional to the surface area of the black hole. Together with the consideration of black hole radiation, we find that the thermodynamics associated with the entropy is likely to be caused by the vacuum polarization near the horizon.