Entropy bounds for uncollapsed matter

TL;DR

This paper derives entropy bounds for uncollapsed matter in static spacetimes using quasilocal mass and surface gravity, connecting thermodynamics, the Unruh effect, and holographic principles.

Contribution

It introduces a novel approach to bounding entropy in static spacetimes by relating quasilocal mass, surface gravity, and thermodynamics, inspired by holographic and entanglement entropy concepts.

Findings

Derived bounds on quasilocal entropy similar to holographic bounds

Connected entropy bounds with the Unruh effect and thermodynamics

Established a surface integral expression for quasilocal mass

Abstract

In any static spacetime the quasilocal Tolman mass contained within a volume can be reduced to a Gauss-like surface integral involving the flux of a suitably defined generalized surface gravity. By introducing some basic thermodynamics, and invoking the Unruh effect, one can then develop elementary bounds on the quasilocal entropy that are very similar in spirit to the holographic bound, and closely related to entanglement entropy.