Fuzzy Phase Space Structure as Approach to Quantization

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 page, Latex, Talk given at Quantum Foundations Conference, Vaxjo, Sweden, 2001, to appear in Proceddings

Scientific paper

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 $\sigma_x$. 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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