SPECTRAL GEOMETRY AND CAUSALITY

DOI10.1142/S0217751X98001360zbMath0927.53031arXivgr-qc/9609050OpenAlexW3106332236MaRDI QIDQ4259531

Tomáš Kopf

Publication date: 5 September 1999

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9609050

zbMATH Keywords

noncommutative geometryquantum gravityspectral dataglobally hyperbolicLorentzian manifoldscausal relationshipsConnes' spectral triplefermionic quantization of free Weyl spinor fieldsfree quantum field theory

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Applications of differential geometry to physics (53Z05)

Related Items (8)

ASPECTS OF NONCOMMUTATIVE LORENTZIAN GEOMETRY FOR GLOBALLY HYPERBOLIC SPACETIMES ⋮ SPECTRAL GEOMETRY OF SPACETIME ⋮ Temporal Lorentzian spectral triples ⋮ A spectral quadruple for de Sitter space ⋮ Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics ⋮ Families of spectral triples and foliations of space(time) ⋮ Lorentzian spectral geometry with causal sets ⋮ A noncommutative view on topology and order

Cites Work

• Algebraic approach to quantum field theory on non-globally-hyperbolic spacetimes
• On the origin of spacetime topology and some generalizations of quantum field theory
• Quantum logic and the histories approach to quantum theory
• Quantum temporal logic and decoherence functionals in the histories approach to generalized quantum theory
• The classification of decoherence functionals: An analog of Gleason’s theorem
• Noncommutative geometry and reality
• An Algebraic Approach to Quantum Field Theory

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