Bekenstein bounds in de Sitter and flat space

TL;DR

This paper explores the relationship between the D-bound in de Sitter space and the Bekenstein bound in flat space, showing their close connection across dimensions and implications for black hole entropy limits.

Contribution

It demonstrates the equivalence of the D-bound and Bekenstein bound in arbitrary dimensions when calibrated properly, and analyzes black hole entropy saturation in higher dimensions.

Findings

D-bound closely related to Bekenstein bound in arbitrary dimensions

Black holes do not saturate the Bekenstein bound in dimensions > 4

Bounds are connected to entropy-area ratio considerations

Abstract

The D-bound on the entropy of matter systems in de Sitter space is shown to be closely related to the Bekenstein bound, which applies in a flat background. This holds in arbitrary dimensions if the Bekenstein bound is calibrated by a classical Geroch process. We discuss the relation of these bounds to the more general bound on the entropy to area ratio. We find that black holes do not saturate the Bekenstein bound in dimensions greater than four.