Holographic Weyl Entropy Bounds

TL;DR

This paper explores holographic entropy bounds, their derivation, and implications, revealing a connection between vacuum entropy and null ray shear, and contrasting quantum and gravitational roles in entropy limits.

Contribution

It investigates the covariant form of the Bekenstein entropy bound and its relation to vacuum entropy and null congruences, providing new insights into holographic entropy limits.

Findings

Evidence linking vacuum entropy to shear on null congruences

Comparison of covariant entropy bounds with black hole entropy

Discussion on quantum mechanics and gravity roles in entropy bounds

Abstract

We consider the entropy bounds recently conjectured by Fischler, Susskind and Bousso, and proven in certain cases by Flanagan, Marolf and Wald (FMW). One of the FMW derivations supposes a covariant form of the Bekenstein entropy bound, the consequences of which we explore. The derivation also suggests that the entropy contained in a vacuum spacetime, e.g. Schwarzschild, is related to the shear on congruences of null rays. We find evidence for this intuition, but in a surprising way. We compare the covariant entropy bound to certain earlier discussions of black hole entropy, and comment on the separate roles of quantum mechanics and gravity in the entropy bound.