From Unruh temperature to generalized Bousso bound

TL;DR

This paper demonstrates how quantum effects related to Unruh temperature, combined with classical spacetime and entropy principles, lead to the derivation of the generalized Bousso covariant entropy bound using thermodynamics on local Rindler horizons.

Contribution

It establishes a connection between quantum Unruh effects, classical Einstein gravity, and the covariant entropy bound, deriving it from thermodynamic principles.

Findings

Derivation of the generalized Bousso bound from quantum and classical principles.

Linking Unruh temperature to entropy bounds in spacetime.

Thermodynamic interpretation of entropy bounds on local horizons.

Abstract

In a classical spacetime satisfying Einstein's equation and the null convergence condition, the same quantum mechanical effects that cause black holes to have a temperature are found to imply, if joined to the macroscopic nature of entropy, the covariant entropy bound in its generalized form. This is obtained from thermodynamics, as applied across the local Rindler causal horizon through every point p of the null hypersurfaces L the covariant entropy bound refers to, in the direction of the null geodesics generating L.