Thermodynamical features of Verlinde's approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales

TL;DR

This paper investigates the thermodynamical properties of a non-commutative Schwarzschild-anti-deSitter black hole within an entropic gravity framework across various scales, revealing deviations from classical gravity at both small and large distances.

Contribution

It introduces a study of thermodynamics for a non-commutative black hole in an entropic gravity context over a broad scale range, highlighting scale-dependent gravitational behavior.

Findings

Linear entropic force at small scales where Newtonian gravity fails

Deviations from standard Newtonian gravity at large scales

Thermodynamical features vary significantly across different length scales

Abstract

We try to study the thermodynamical features of a non-commutative inspired Schwarzschild-anti-deSitter black hole in the context of entropic gravity model, particularly for the model that is employed in a broad range of scales, from the short distances to the large distances. At small length scales, the Newtonian force is failed because one finds a linear relation between the entropic force and the distance. In addition, there are some deviations from the standard Newtonian gravity at large length scales.