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Spin 1/2 as propagation on a lattice with symmetries modulo gauge transformations

L. Polley
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Abstract

Relativistic spin 1/2, as represented by Susskind's 1977 discretization of the Dirac equation on a spatial lattice, is shown to follow from basic, not typically relativistic but essentially quantum theoretic assumptions: that position eigenstates propagate to nearest neighbours while respecting lattice symmetries modulo gauge transformations.

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L. Polley. 2001-10-31. Spin 1/2 as propagation on a lattice with symmetries modulo gauge transformations. https://arxiv.org/abs/quant-ph/0110175

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