Existence antiparticles as an indication of finiteness nature

Details Existence antiparticles as an indication of finiteness nature Existence antiparticles as an indication of finiteness nature

2010-07-28

arxiv.org/abs/1007.4875v1

Physics

General Physics

15 pages, Latex, 1 figure

Scientific paper

It is shown that in a quantum theory based on 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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