AI가 증명한 '맥스웰 추측'의 거짓

--> Physics > Classical Physics arXiv:2607.27197 (physics) [Submitted on 29 Jul 2026] Title: The Maxwell Conjecture is False Authors: Philip Arathoon , Gavin Ball , Matthew D. Kvalheim View a PDF of the paper titled The Maxwell Conjecture is False, by Philip Arathoon and 2 other authors View PDF HTML (experimental) Abstract: We exhibit a configuration of five point charges in Euclidean space whose electrostatic potential admits at least 24 critical points all of which are non-degenerate. Maxwell's conjecture that the field of \(n\) point charges has at most \((n-1)^2\) critical points which are all non-degenerate is therefore false. Subjects: Classical Physics (physics.class-ph) ; Mathematical Physics (math-ph) Cite as: arXiv:2607.27197 [physics.class-ph] (or arXiv:2607.27197v1 [physics.class-ph] for this version) https://doi.org/10.48550/arXiv.2607.27197 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Philip Arathoon [ view email ] [v1] Wed, 29 Jul 2026 17:58:42 UTC (341 KB) Full-text links: Access Paper: View a PDF of the paper titled The Maxwell Conjecture is False, by Philip Arathoon and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: physics.class-ph < prev | next > new | recent | 2026-07 Change to browse by: math math-ph math.MP physics References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation &times; loading... Data provided by: 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 Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? )