Fundamental Constants, Entropic Gravity and Nonextensive Equipartition Theorem

TL;DR

This paper explores the connection between Verlinde's entropic gravity, the fundamental length scale, and Tsallis' nonextensive statistics, proposing a new interpretation of the numerical factor involved.

Contribution

It introduces a novel association between the fundamental length factor in gravity and the nonextensive parameter q from Tsallis' statistics.

Findings

Links the fundamental length to the nonextensive parameter q

Suggests a new perspective on entropic gravity formalism

Proposes a theoretical framework connecting gravity and nonextensive statistics

Abstract

By using the Verlinde's formalism[1], we propose that the positive numerical factor, in which Klinkhamer[2] states that it is necessary to define the fundamental length, can be associated to the parameter q of the Tsallis' nonextensive statistical mechanics[3].