# Reply to "Rescuing the MaxEnt treatment for $q$-generalized entropies" by A. Plastino and M.C. Rocca

## TL;DR

This paper defends a previous work on generalized entropies by clarifying that a recent criticism based on different calculus methods is irrelevant due to fundamental differences in the initial assumptions and derivations.

## Contribution

The authors clarify that their original entropy maximization approach is unaffected by the criticized calculus method, reaffirming the validity of their results.

## Key findings

- Their initial formalism requires rac{ S_q}{ U} = eta.
- The criticized formalism yields rac{ S_q}{ U} = q eta Z^{1-q}.
- The criticism is irrelevant due to these fundamental differences.

## Abstract

Plastino and Rocca [Physica A 491, 1023 (2018)] recently criticized our work [Phys. Lett. A 381, 207 (2017)] on the ground that one should use functional calculus instead of the ordinary calculus adopted by us in the entropy maximization procedure. We simply point out that our work requires right from the beginning $\partial S_q / \partial U = \beta$, whereas the formalism of Plastino and Rocca yields $\partial S_q/\partial U = q \beta Z^{1-q} \neq \beta$. Therefore, the work of Plastino and Rocca is irrelevant for our work.