# Rescaling the nonadditivity parameter in Tsallis thermostatistics

## TL;DR

This paper explores a transformation group for the nonadditivity parameter in Tsallis entropy, enabling generalized distributions and linking to other entropy forms, with applications in systems with finite heat baths or temperature fluctuations.

## Contribution

It introduces a nonadditivity parameter transformation group in Tsallis entropy, connecting q-deformed distributions and other entropy measures, expanding the theoretical framework.

## Key findings

- Each group element corresponds to a class of q-deformed distributions
- The transformation links Tsallis entropy to Hybrid entropy
- Applications include systems with finite heat baths or temperature fluctuations

## Abstract

The paper introduces nonadditivity parameter transformation group induced by Tsallis entropy. We discuss simple physical applications of a system in the contact with finite heat bath or with temperature fluctuations. With help of the transformation, it is possible to introduce generalized distributive rule in q-deformed algebra. We focus on MaxEnt distributions of Tsallis entropy with rescaled nonadditivity parameter under escort energy constraints. We show that each group element corresponds to one class of q-deformed distributions. Finally, we briefly discuss the application of the transformation to Jizba-Arimitsu Hybrid entropy and its connection to Average Hybrid entropy.