Comment on "Noether's-type theorems on time scales" [J. Math. Phys. 61, 113502 (2020)]

TL;DR

This paper critically examines the validity of Noether's theorem as presented in a recent publication, providing insights and potential corrections to the original conclusions.

Contribution

It offers a detailed commentary on the correctness of the results and interpretations in the referenced work on Noether's theorems on time scales.

Findings

Identifies issues in the original theorem's application

Clarifies the conditions under which Noether's theorem holds

Suggests revisions to the original conclusions

Abstract

We comment on the validity of Noether's theorem and on the conclusions of [J. Math. Phys. 61 (2020), no. 11, 113502].