New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations

TL;DR

This paper explores nonextensive Tsallis statistical mechanics within a noncommutative phase-space framework, deriving new bounds for the Tsallis parameter and modified Friedmann equations, linking gravity and nonextensivity.

Contribution

It introduces a novel bound for the Tsallis nonextensive parameter using noncommutative phase-space entropic gravity and derives related cosmological equations.

Findings

New bound for Tsallis nonextensive parameter

Modified Friedmann equations in nonextensive scenario

Relation between gravitational constant and Tsallis parameter

Abstract

In this paper, we have analyzed the nonextensive Tsallis statistical mechanics in the light of Verlinde's formalism. We have obtained, with the aid of a noncommutative phase-space entropic gravity, a new bound for Tsallis nonextensive (NE) parameter (TNP) that is clearly different from the ones present in the current literature. We derived the Friedmann equations in a NE scenario. We also obtained here a relation between the gravitational constant and the TNP.