Fuzzy Phase Space Structure as Approach to Quantization
High Energy Physics - Theory
2007-05-23 v1
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 state corresponds to Foset element - fuzzy point. Due to fuzzy ordering its space coordinate acquires principal uncertainty . It's shown that proposed Mechanics on fuzzy phase space manifold reproduces the main quantum effects, in particular the interference of quantum states.
Keywords
Cite
@article{arxiv.hep-th/0210113,
title = {Fuzzy Phase Space Structure as Approach to Quantization},
author = {S. Mayburov},
journal= {arXiv preprint arXiv:hep-th/0210113},
year = {2007}
}
Comments
21 page, Latex, Talk given at Quantum Foundations Conference, Vaxjo, Sweden, 2001, to appear in Proceddings