Comments on the article "M.O. Katanaev, Complete separation of variables in the geodesic Hamilton-Jacobi equation in four dimensions. Physica Scripta (2023), 98, 104001" by V. V. Obukhov, K. E. Osetrin, and A. V. Shapovalov

TL;DR

This paper provides a detailed response to criticisms of a previous work on the separation of variables in the geodesic Hamilton-Jacobi equation in four dimensions, clarifying the original results and addressing misunderstandings.

Contribution

The paper offers a thorough rebuttal and clarification of the original findings on variable separation, defending the validity of the initial approach against critiques.

Findings

Clarifies misunderstandings about the separation of variables

Reaffirms the validity of the original method

Addresses specific criticisms in detail

Abstract

This is a detailed answer to the criticism of my paper.