Massless Elementary Particles in a Quantum Theory Over a Galois Field

Details Massless Elementary Particles in a Quantum Theory Over a Galois Field Massless Elementary Particles in a Quantum Theory Over a Galois Field

2002-07-22

arxiv.org/abs/hep-th/0207192v2

Theor. Math. Phys. Vol. 138 (2004) 208-225

Physics

High Energy Physics

High Energy Physics - Theory

Replaced by a considerably revised version

Scientific paper

We consider massless elementary particles in a quantum theory based on a Galois field (GFQT). We previously showed that the theory has a new symmetry between particles and antiparticles, which has no analogue in the standard approach. We now prove that the symmetry is compatible with all operators describing massless particles. Consequently, massless elementary particles can have only the half-integer spin (in conventional units), and the existence of massless neutral elementary particles is incompatible with the spin-statistics theorem. In particular, this implies that the photon and the graviton in the GFQT can only be composite particles.

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