Existence of Antiparticles as an Indication of Finiteness of Nature

Felix M. Lev

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arXiv · 1007.4875

Existence of Antiparticles as an Indication of Finiteness of Nature

Felix M. Lev

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Abstract

It is shown that in a quantum theory over a Galois field, the famous Dirac's result about antiparticles is generalized such that a particle and its antiparticle are already combined at the level of irreducible representations of the symmetry algebra without assuming the existence of a local covariant equation. We argue that the very existence of antiparticles is a strong indication that nature is described by a finite field rather than by complex numbers.

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Felix M. Lev. 2010-07-28. Existence of Antiparticles as an Indication of Finiteness of Nature. https://arxiv.org/abs/1007.4875

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