Fuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization
Abstract
Description
Quantum Space-Time and Phase Space with fuzzy geometric structure are studied as possible formalism for quantization of massive particles and fields. In this approach the state of nonrelativistic particle m described by the fuzzy point of fuzzy (weakly) ordered Manifold X. Due to m partial ordering in X m coordinate x principal uncertainty is generic in this ansatz. It's shown that in 1+1 dimension such Fuzzy Mechanics (FM) is equivalent to Path Integral formalism of Quantum Mechanics (QM).
Latex, 15 pages, Talk given on 'Foundations of Physics and Computations' Conference, Udine, 2004)
Latex, 15 pages, Talk given on 'Foundations of Physics and Computations' Conference, Udine, 2004)