Fuzzy Geometry of Phase Space and Quantization of Massive Fields
High Energy Physics - Theory
2008-11-26 v1 Quantum Physics
Abstract
The quantum space-time and the phase space with fuzzy structure is investigated as the possible quantization formalism. In this theory the state of nonrelativistic particle corresponds to the element of fuzzy ordered set (Foset) - fuzzy point. Due to Foset partial (weak) ordering, particle's space coordinate x acquires principal uncertainty dx. It's shown that Shroedinger formalism of Quantum Mechanics can be completely derived from consideration of particle evolution in fuzzy phase space with minimal number of axioms.
Cite
@article{arxiv.0711.0129,
title = {Fuzzy Geometry of Phase Space and Quantization of Massive Fields},
author = {S. N. Mayburov},
journal= {arXiv preprint arXiv:0711.0129},
year = {2008}
}
Comments
13 pages, Talk given at QFEXT07 Workshop, Leipzig, Sept. 2007