We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Fuzzy Topology and Geometric Formalism of Quantum Mechanics.
- Authors
Mayburov, S.
- Abstract
Dodson-Zeeman fuzzy topology considered as the possible mathematical framework of quantum geometric formalism. In such formalism 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 σ. It's shown that m evolution on such manifold corresponds to quantum dynamics. It's argued also that particle's interactions on such fuzzy manifold should be gauge invariant.
- Subjects
FUZZY topology; MANIFOLDS (Mathematics); QUANTUM theory; GAUGE invariance; QUANTIZATION methods (Quantum mechanics); MATHEMATICAL analysis
- Publication
International Journal of Theoretical Physics, 2015, Vol 54, Issue 12, p4272
- ISSN
0020-7748
- Publication type
Article
- DOI
10.1007/s10773-014-2480-3