Fuzzy Phase Space Structure as Approach to Quantization
Abstract
Modification of nonrelativistic phase space structure based on fuzzy ordered sets (Fosets) structure investigated as a possible quantization framework. In this model particle's m state corresponds to Foset element - fuzzy point. Due to fuzzy ordering its space coordinate x acquires principal uncertainty σx. It's shown that proposed Mechanics on fuzzy phase space manifold reproduces the main quantum effects, in particular the interference of quantum states.
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