Geodesic
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. 
@article{TM_2004_245_a16,
     author = {S. N. Mayburov},
     title = {Fuzzy {Geometry} of {Space--Time} and {Quantum} {Dynamics}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {166--171},
     publisher = {mathdoc},
     volume = {245},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2004_245_a16/}
}
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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/