Magnetic flux as a quantized Lorentz pseudoscalar and its relation to electric charge quantization

Quantum Physics [Submitted on 4 Jun 2026] Magnetic flux as a quantized Lorentz pseudoscalar and its relation to electric charge quantization Cyril Belardinelli In this paper, we re-examine the well-known question of why electric charges exist only in quantized portions. In this context, we revisit the motion of a charged particle in a field-free region around a current-carrying solenoid. Solving the corresponding Schrödinger equation leads to a simultaneous quantization condition for the magnetic flux and the electric charge. We also demonstrate the Lorentz invariance of this condition by showing that the magnetic flux behaves like a pseudoscalar under Lorentz transformations. Comments: 9 pages, 2 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.05955 [quant-ph]   (or arXiv:2606.05955v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2606.05955 Focus to learn more Submission history From: Cyril Belardinelli [view email] [v1] Thu, 4 Jun 2026 09:53:16 UTC (84 KB) Access Paper: 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?)