# In defense of Tsallis' original probability distribution

## TL;DR

This paper defends Tsallis' original q-probability distribution against recent criticisms, reaffirming its validity and addressing misconceptions in the ongoing debate about non-extensive statistical mechanics.

## Contribution

It provides a rebuttal to recent attacks on Tsallis' distribution, reaffirming its correctness and defending its foundational role in non-extensive statistical physics.

## Key findings

- The attack on Tsallis' distribution is unfounded.
- Tsallis' original distribution remains valid.
- The paper clarifies misconceptions about the distribution.

## Abstract

Tsallis' pioneer q-probability distribution $P_i=\frac {[1+\beta(1-q)U_i]^{\frac {1} {q-1}}} {Z}$, $Z=\sum\limits_{i=1}^n [1+\beta(1-q)U_i]^{\frac {1} {q-1}}$ [J. of Stat. Phys., {\bf 52} (1988) 479] has been recently attacked in arXiv:1705.01752, in a Reply to our arXiv:1704.07493 publication. We show here that such an attack is groundless.