Skip to main content Cornell University We gratefully acknowledge support from the Simons Foundation, member institutions , and all contributors. Donate arxiv logo > quant-ph > arXiv:quant-ph/0104066 Help | Advanced Search Search Quantum Physics (quant-ph) [Submitted on 12 Apr 2001] Title: Mechanical interpretation of the Klein-Gordon equation Authors: V. P. Dmitriyev View a PDF of the paper titled Mechanical interpretation of the Klein-Gordon equation, by V. P. Dmitriyev View PDF Abstract: The substratum for physics can be seen microscopically as an ideal fluid pierced in all directions by the straight vortex filaments. Small disturbances of an isolated filament are considered. The Klein-Gordon equation without mass corresponds to elastic stretching of the filament. The wave function has the meaning of the curve's position vector. The mass part of the Klein-Gordon equation describes the rotation of the helical curve about the screw axis due to the hydrodynamic self-induction of the bent vortex filament. Comments: 3 pages; see also this http URL Subjects: Quantum Physics (quant-ph) ; High Energy Physics - Theory (hep-th); Fluid Dynamics (physics.flu-dyn) Cite as: arXiv:quant-ph/0104066 (or arXiv:quant-ph/0104066v1 for this version) https://doi.org/10.48550/arXiv.quant-ph/0104066 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Valery P. Dmitriyev [ view email ] [v1] Thu, 12 Apr 2001 20:38:28 UTC (34 KB) Full-text links: Access Paper: View a PDF of the paper titled Mechanical interpretation of the Klein-Gordon equation, by V. P. Dmitriyev View PDF TeX Source Other Formats view license Current browse context: quant-ph < prev | next > new | recent | 2001-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar a export BibTeX citation Loading... Bookmark BibSonomy logo Reddit logo Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) 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? ) About Help contact arXiv Click here to contact arXiv Contact subscribe to arXiv mailings Click here to subscribe Subscribe Copyright Privacy Policy Web Accessibility Assistance arXiv Operational Status Get status notifications via email or slack