Reply to "Interpreting Bohm quantum potentials in `Computing quantum waves exactly from classical action'"

Quantum Physics [Submitted on 22 May 2026] Reply to "Interpreting Bohm quantum potentials in `Computing quantum waves exactly from classical action'" Gabor Vattay The recent arXiv posting arXiv:2605.20443 by Lohmiller and Slotine attempts to address the omission of the Bohm quantum potential in their proposed exact equivalence between classical action and the Schrödinger equation. They introduce a position-dependent time transformation to argue that the spatial derivatives of the probability density amplitude vanish for the Feynman kernel. A rigorous mathematical examination of this transformation reveals a violation of the multivariable chain rule. The spatial derivatives do not vanish in the physical reference frame. The mathematical framework presented by the authors remains identical to the well-established semiclassical Van Vleck propagator, which is exact exclusively for quadratic potentials. Comments: Comment on arXiv:2605.20443, 3 pages, no figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.05197 [quant-ph]   (or arXiv:2606.05197v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2606.05197 Focus to learn more Submission history From: Gabor Vattay [view email] [v1] Fri, 22 May 2026 05:08:15 UTC (3 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-06 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)