2002/10/11 by S. Mayburov, Mayburov, S.
Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0210113
21 page, Latex, Talk given at Quantum Foundations Conference, Vaxjo, Sweden, 2001, to appear in Proceddings
arxiv created 2002/10/11 · openalex publication_date 2002/10/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.