Fuzzy space-time topology and geometric quantization
Lebedev Institute of Physics, Moscow, Leninski pr. 53
a e-mail: email@example.com
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.
© Owned by the authors, published by EDP Sciences, 2015
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.