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arXiv · 2603.17200

p-Adic Dirac Equations and the Jackiw-Rebbi Model

W. A. Zúñiga-Galindo
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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.

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W. A. Zúñiga-Galindo. 2026-03-17. p-Adic Dirac Equations and the Jackiw-Rebbi Model. https://arxiv.org/abs/2603.17200

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