Fuzzy Geometry of Space--Time and Quantum Dynamics
Informatics and Automation, 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{TRSPY_2004_245_a16,
author = {S. N. Mayburov},
title = {Fuzzy {Geometry} of {Space--Time} and {Quantum} {Dynamics}},
journal = {Informatics and Automation},
pages = {166--171},
publisher = {mathdoc},
volume = {245},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2004_245_a16/}
}
S. N. Mayburov. Fuzzy Geometry of Space--Time and Quantum Dynamics. Informatics and Automation, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 166-171. http://geodesic.mathdoc.fr/item/TRSPY_2004_245_a16/