p-Adic Dirac Equations and the Jackiw-Rebbi Model

Quantum Physics [Submitted on 17 Mar 2026] p-Adic Dirac Equations and the Jackiw-Rebbi Model W. A. Zúñiga-Galindo We present a new p-adic version of the Jackiw-Rebbi model. In the new model, the real numeric line is replaced by a p-adic line (the field of p-adic numbers Q_{p}), and the Dirac Hamiltonian is replaced by a non-local operator acting on complex-valued functions defined on Q_{p}. These Hamiltonians admit localized wavefunctions and allow long-range interactions, so spooky action at a distance is allowed. These features are not present in the original model. The new model gives the same predictions as the standard one. The p-adic line serves as a discrete model for the physical space; in this type of space, non-locality emerges naturally. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.17200 [quant-ph]   (or arXiv:2603.17200v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2603.17200 Focus to learn more Submission history From: W. A. Zuniga-Galindo [view email] [v1] Tue, 17 Mar 2026 23:03:23 UTC (17 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-03 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?)