Fuzzy space-time topology and geometric quantization

Fuzzy space-time topology and geometric quantization

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Dodson-Zeeman fuzzy topology considered as the possible mathematical framework of geometric quantum formalism. In such approach the states of massive particle m correspond to elements of fuzzy manifold called fuzzy points. Due to their weak (partial) ordering, m space coordinate x acquires principal...

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Main Author: Mayburov S.N.
Format: Article
Language:English
Published: EDP Sciences 2015-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20159505010
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spelling doaj-9c0a912c0563438e8ee44e2bafb1d2812021-08-02T12:06:27ZengEDP SciencesEPJ Web of Conferences2100-014X2015-01-01950501010.1051/epjconf/20159505010epjconf_icnfp2014_05010Fuzzy space-time topology and geometric quantizationMayburov S.N.0Lebedev Institute of PhysicsDodson-Zeeman fuzzy topology considered as the possible mathematical framework of geometric quantum formalism. In such approach the states of massive particle m correspond to elements of fuzzy manifold called fuzzy points. Due to their weak (partial) ordering, m space coordinate x acquires principal uncertainty σx. It’s shown that m evolution on such manifold is described by Schroedinger or Dirac formalisms in norelativistic and relativistic cases correspondingly.http://dx.doi.org/10.1051/epjconf/20159505010
collection DOAJ
language English
format Article
sources DOAJ
author Mayburov S.N.
spellingShingle Mayburov S.N.
Fuzzy space-time topology and geometric quantization
EPJ Web of Conferences
author_facet Mayburov S.N.
author_sort Mayburov S.N.
title Fuzzy space-time topology and geometric quantization
title_short Fuzzy space-time topology and geometric quantization
title_full Fuzzy space-time topology and geometric quantization
title_fullStr Fuzzy space-time topology and geometric quantization
title_full_unstemmed Fuzzy space-time topology and geometric quantization
title_sort fuzzy space-time topology and geometric quantization
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2015-01-01
description Dodson-Zeeman fuzzy topology considered as the possible mathematical framework of geometric quantum formalism. In such approach the states of massive particle m correspond to elements of fuzzy manifold called fuzzy points. Due to their weak (partial) ordering, m space coordinate x acquires principal uncertainty σx. It’s shown that m evolution on such manifold is described by Schroedinger or Dirac formalisms in norelativistic and relativistic cases correspondingly.
url http://dx.doi.org/10.1051/epjconf/20159505010
work_keys_str_mv AT mayburovsn fuzzyspacetimetopologyandgeometricquantization
_version_ 1721232751523266560

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