Groupoid approach to noncommutative quantization of gravity
From MaRDI portal
Publication:4378328
DOI10.1063/1.532186zbMath0892.58006arXivgr-qc/9712009OpenAlexW1532861012MaRDI QIDQ4378328
Dominique Lambert, Wiesław Sasin, Michal P. Heller
Publication date: 27 July 1998
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/gr-qc/9712009
Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Quantization of the gravitational field (83C45) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)
Related Items
Time flow in a noncommutative regime ⋮ Origin of classical singularities ⋮ Conceptual unification of gravity and quanta ⋮ State vector reduction as a shadow of a noncommutative dynamics ⋮ Fundamental problems in the unification of physics ⋮ Observables in a noncommutative approach to the unification of quanta and gravity: a finite model ⋮ Noncommutative unification of general relativity and quantum mechanics ⋮ Emergence of time ⋮ Noncommutative closed Friedman universe ⋮ Noncommutative dynamics of random operators ⋮ Path integral quantisation of finite noncommutative geometries
Cites Work
- Gravity coupled with matter and the foundation of non-commutative geometry
- On the b-boundary of the closed Friedman-model
- A new definition of singular points in general relativity
- Sheaves of Einstein algebras
- Connections, metrics, symmetries and scalar fields in commutative and noncommutative geometry
- A Symplectic Approach to Yang Mills Theory for Non Commutative Tori
- The bundle boundary in some special cases
- Noncommutative structure of singularities in general relativity
- Noncommutative geometry and reality
- Structured spaces and their application to relativistic physics
- HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
- The Einstein action for algebras of matrix valued functions—Toy models
- An Algebraic Approach to Quantum Field Theory
