A perspective on non-commutative quantum gravity
DOI10.1142/S021988781560021XzbMath1331.81280MaRDI QIDQ3465836
Publication date: 22 January 2016
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Noncommutative topology (46L85) Quantization of the gravitational field (83C45) Noncommutative geometry methods in quantum field theory (81T75) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65) Noncommutative geometry (à la Connes) (58B34) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)
Cites Work
- A horizontal categorification of Gel'fand duality
- Gravity coupled with matter and the foundation of non-commutative geometry
- Holonomy and path structures in general relativity and Yang-Mills theory
- Étale groupoids and their quantales
- \(W^ *\)-categories
- The spectral action principle
- 2-d physics and 3-d topology
- NONCOMMUTATIVE FERMION MASS MATRIX AND GRAVITY
- CATEGORIFIED NONCOMMUTATIVE MANIFOLDS
- AN AXIOMATIC DEFINITION OF HOLONOMY
- Fell bundles over groupoids
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