1205.3019 (S. N. Mayburov)

Fuzzy Topology, Quantization and Gauge Invariance    [PDF]

S. N. Mayburov

Quantum space-time with Dodson-Zeeman topological structure is studied. In its framework the states of massive particle m correspond to elements of fuzzy set called fuzzy points. Due to their weak (partial)ordering, m space coordinate x acquires principal uncertainty. Quantization formalism is derived from consideration of m evolution in fuzzy phase space with minimal number of additional assumptions. It's argued that particle's interactions on fuzzy manifold should be gauge invariant.

View original: http://arxiv.org/abs/1205.3019