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Quantum Simulation
p-Adic Dirac Equations and the Jackiw-Rebbi Model
arXiv
Authors: W. A. Zúñiga-Galindo
Year
2026
Paper ID
30653
Status
Preprint
Abstract Read
~2 min
Abstract Words
106
Citations
N/A
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 Qp, 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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We present a new p-adic version of the Jackiw-Rebbi model.
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