Thermodynamics of noncommutative de Sitter spacetime

TL;DR

This paper investigates how noncommutative spacetime geometry influences the thermodynamics of de Sitter horizons, revealing Planck-scale modifications to temperature, entropy, and vacuum energy, and proposing a quantization rule for entropy.

Contribution

It introduces a novel analysis of noncommutative effects on de Sitter thermodynamics, including a new entropy quantization approach and the impact of modified Heisenberg algebra.

Findings

Noncommutativity causes Planck-scale modifications to thermodynamic quantities.

A quantization rule for entropy in noncommutative spacetime is proposed.

Modified Heisenberg algebra affects thermodynamical properties.

Abstract

We study the effects of noncommutativity of spacetime geometry on the thermodynamical properties of the de Sitter horizon. We show that noncommutativity results in modifications in temperature, entropy and vacuum energy and that these modifications are of order of the Planck scale, suggesting that the size of the noncommutative parameter should be close to that of the Planck. In an alternative way to deal with noncommutativity, we obtain a quantization rule for the entropy. Since noncommutativity in spacetime geometry modifies the Heisenberg algebra and introduces the general uncertainty principle, we also investigate the above problem in this framework.