a Topological Spin-Statistics Theorem or a Use of the Antiparticle

A spin-statistics theorem for spinning particles in ℝd is proved without using relativity or field theory, but assuming the existence of antiparticles. The theorem excludes non-abelian statistics such as parastatistics of order 2 and more for d≥3 and statistics based on nonabelian representations of the braid groups for d=2.

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