Time flow in a noncommutative regime

DOI10.1007/s10773-006-9078-3zbMath1129.81091OpenAlexW2029402839MaRDI QIDQ873184

Leszek Pysiak

Publication date: 28 March 2007

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-006-9078-3

zbMATH Keywords

von Neumann algebraquantum mechanicsrandom operatorsnoncommutative probabilityunification theorynoncommutative dynamics

Mathematics Subject Classification ID

Unified quantum theories (81V22) Applications of selfadjoint operator algebras to physics (46L60) PDEs with randomness, stochastic partial differential equations (35R60) Methods of noncommutative geometry in general relativity (83C65)

Related Items (5)

Multiplicity formulas for representations of transformation groupoids ⋮ Anatomy of malicious singularities ⋮ Conceptual unification of gravity and quanta ⋮ Imprimitivity theorem for groupoid representations ⋮ Fundamental problems in the unification of physics

Cites Work

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• Groupoids, inverse semigroups, and their operator algebras
• Noncommutative unification of general relativity and quantum mechanics. A finite model
• An invitation to von Neumann algebras
• Observables in a noncommutative approach to the unification of quanta and gravity: a finite model
• State vector reduction as a shadow of a noncommutative dynamics
• Free Random Variables
• Statistical mechanics of gravity and the thermodynamical origin of time
• Groupoid approach to noncommutative quantization of gravity
• Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories
• Noncommutative unification of general relativity and quantum mechanics

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