Cosmological Applications of the Frieden-Soffer Nonextensive Information Transfer Game

TL;DR

This paper demonstrates how nonextensive statistical mechanics, specifically Tsallis entropy, can be used to solve Einstein's field equations in cosmology by employing a nonlocal variable transformation approach.

Contribution

It introduces a novel method linking nonextensive statistical mechanics with solutions to Einstein's equations through a nonlocal change of variables.

Findings

Solutions to Einstein's equations can be derived using nonextensive Tsallis statistics.

The approach offers new insights into cosmological problems involving gravity.

Nonlocal transformations facilitate the connection between statistical mechanics and cosmology.

Abstract

We show how the demon of Frieden and Soffer, working in a non-extensive statistical scenario, is able to devise solutions to some of Einstein's field equations by recourse to nonlocal changes of variables between appropriate differential equations. It is seen that a variety of cosmological problems involving Einstein's field equations can be reinterpreted as situations in which the pertinent solution is obtained, with tools of Statistical Mechanics, {\it in a nonextensive Tsallis scenario}.