Non-additive entropies in ... gravity ?

TL;DR

This paper explores non-additive entropies, especially Tsallis entropy, discussing their properties and potential applications in semi-Classical and Quantum Gravity contexts.

Contribution

It introduces the properties of non-additive entropic functionals like Tsallis entropy and speculates on their relevance to gravity theories.

Findings

Tsallis entropy has a power-law functional form.

Non-additive entropies may have applications in gravity.

Properties of Tsallis entropy are discussed.

Abstract

We present aspects of entropic functionals relatively recently introduced in Physics which are non-additive, in the conventional sense of the word, some of which have a power-law functional form. We use as an example among them, and to be concrete in this work the "Tsallis entropy", which has, arguably, the simplest functional form. We present some of its properties and speculate about its potential uses in semi-Classical and Quantum Gravity.