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Fuzzy Space-Time Geometry and Particle’s Dynamics

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Abstract

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

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  1. Lebedev Inst. of Physics, Leninsky Prospect 53, Moscow, 117924, Russia

    S. N. Mayburov

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  1. S. N. Mayburov
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Mayburov, S.N. Fuzzy Space-Time Geometry and Particle’s Dynamics. Int J Theor Phys 49, 3192–3198 (2010). https://doi.org/10.1007/s10773-010-0370-x

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  • DOI: https://doi.org/10.1007/s10773-010-0370-x

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