Fuzzy Geometry of Space--Time and Quantum Dynamics
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 166-171.

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Quantum space–time and the phase space of massive particles with fuzzy geometry structure is investigated as a possible method of nonrelativistic quantization. In this model, a particle state corresponds to an element of a fuzzy ordered set, a fuzzy point. It is shown that the mechanics proposed is equivalent to the path integral formalism in quantum mechanics.
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S. N. Mayburov. Fuzzy Geometry of Space--Time and Quantum Dynamics. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 166-171. http://geodesic.mathdoc.fr/item/TM_2004_245_a16/

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