p-Adic Dirac Equations and the Jackiw-Rebbi Model
Quantum Physics
2026-03-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2603.17200,
title = {p-Adic Dirac Equations and the Jackiw-Rebbi Model},
author = {W. A. Zúñiga-Galindo},
journal= {arXiv preprint arXiv:2603.17200},
year = {2026}
}