(Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle

TL;DR

This paper extends black hole thermodynamics derivations to de Sitter and anti-de Sitter spacetimes using the generalized uncertainty principle, highlighting holographic duality differences.

Contribution

It introduces a generalized uncertainty principle approach to derive thermodynamics of (anti-)de Sitter black holes, linking quantum gravity concepts with holography.

Findings

Thermodynamics of (anti-)de Sitter black holes derived from generalized uncertainty principle.

Holographic description applies to (anti-)de Sitter black holes but not Schwarzschild.

Provides insights into quantum gravity and holography connections.

Abstract

We extend the derivation of the Hawking temperature of a Schwarzschild black hole via the Heisenberg uncertainty principle to the de Sitter and anti-de Sitter spacetimes. The thermodynamics of the Schwarzschild-(anti-)de Sitter black holes is obtained from the generalized uncertainty principle of string theory and non-commutative geometry. This may explain why the thermodynamics of (anti-)de Sitter-like black holes admits a holographic description in terms of a dual quantum conformal field theory, whereas the thermodynamics of Schwarzschild-like black holes does not.