Black hole thermodynamics in Snyder phase space

TL;DR

This paper explores how noncommutative Snyder phase space modifies black hole thermodynamics by introducing natural cutoffs, offering a mathematical perspective on black hole physics.

Contribution

It introduces a noncommutative symplectic structure to analyze Schwarzschild black hole thermodynamics in Snyder phase space for the first time.

Findings

Black hole thermodynamics is affected by phase space cutoffs.

Noncommutative symplectic structure alters thermodynamic properties.

Provides a mathematical framework for black hole thermodynamics in Snyder space.

Abstract

By defining a noncommutative symplectic structure, we study thermodynamics of Schwarzschild black hole in a Snyder noncommutative phase space for the first time. Since natural cutoffs are the results of compactness of symplectic manifolds in phase space, the physics of black holes in such a space would be affected mainly by these cutoffs. In this respect, this study provides a basis for more deeper understanding of the black hole thermodynamics in a pure mathematical viewpoint.