https://doi.org/10.1051/epjconf/20159505010
Fuzzy space-time topology and geometric quantization
Lebedev Institute of Physics, Moscow, Leninski pr. 53
a e-mail: mayburov@sci.lebedev.ru
Published online: 29 May 2015
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.
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