Comment on work of Yang and Nevels "Direct, analytic solution for the electromagnetic vector potential in any gauge" (arXiv:2507.02104)

Abstract

In the Comment the procedure for obtaining a solution for the electromagnetic potential, presented in the cited work arxiv:2507.02104, is analyzed. It is shown that the solution obtained by the authors is based on some mathematically illegal operations. This argument is supported by a counterexample to equation (10) of the cited work. Direct calculations of the potentials in the Lorenz and Coulomb gauges show that equation (10) is not satisfied.