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Fuzzy topology, quantization and gauge invariance

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Abstract

Quantum space-time with Dodson-Zeeman topological structure is studied. In its framework the states of massive particle m correspond to elements of fuzzy set called fuzzy points. Due to their weak (partial) ordering, m space coordinate x acquires principal uncertainty σ x . Quantization formalism is derived from consideration of m evolution in fuzzy phase space with minimal number of additional assumptions. Particle’s interactions on fuzzy manifold are studied and shown to be gauge invariant.

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Authors and Affiliations

  1. Lebedev Institute of Physics, Leninsky Prospect 53, Moscow, RU-117924, Russia

    S. N. Mayburov

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  1. S. N. Mayburov
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Correspondence to S. N. Mayburov.

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Mayburov, S.N. Fuzzy topology, quantization and gauge invariance. Phys. Part. Nuclei 43, 711–713 (2012). https://doi.org/10.1134/S1063779612050267

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