Example of a possible interpretation of Tsallis entropy

TL;DR

This paper explores how different methods of acquiring information about an object can lead to the Tsallis entropy form instead of the traditional Shannon entropy, highlighting alternative entropy measures.

Contribution

It provides an example illustrating how specific information-gathering processes result in Tsallis entropy, offering insights into non-standard entropy forms.

Findings

Certain information acquisition methods yield Tsallis entropy

Tsallis entropy can emerge from specific informational processes

Comparison between Tsallis and Shannon entropy forms

Abstract

We demonstrate and discuss the process of gaining information and show an example in which some specific way of gaining information about an object results in the Tsallis form of entropy rather than in the Shannon one.