ASPECTS OF NONCOMMUTATIVE LORENTZIAN GEOMETRY FOR GLOBALLY HYPERBOLIC SPACETIMES

DOI10.1142/S0129055X03001886zbMath1055.46048arXivgr-qc/0203095MaRDI QIDQ4818928

Valter Moretti

Publication date: 24 September 2004

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0203095

zbMATH Keywords

\(C^*\)-algebranoncommutative geometryglobally hyperbolic spacetimeLorentzian distanceworld function

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65) Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (14)

Generalised time functions and finiteness of the Lorentzian distance ⋮ MINIMAL LENGTH IN QUANTUM SPACE AND INTEGRATIONS OF THE LINE ELEMENT IN NONCOMMUTATIVE GEOMETRY ⋮ Temporal Lorentzian spectral triples ⋮ Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics ⋮ Families of spectral triples and foliations of space(time) ⋮ Causality for nonlocal phenomena ⋮ From Monge to Higgs: a survey of distance computations in noncommutative geometry ⋮ Generally covariant \(N\)-particle dynamics ⋮ A U(1)B−L-extension of the standard model from noncommutative geometry ⋮ Tensor coordinates in noncommutative mechanics ⋮ PARTICLE PHYSICS FROM ALMOST-COMMUTATIVE SPACETIMES ⋮ Causality theory for closed cone structures with applications ⋮ A noncommutative view on topology and order ⋮ Lorentzian fermionic action by twisting Euclidean spectral triples

Cites Work

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• Smoothing and extending cosmic time functions
• Supersymmetric quantum theory and differential geometry
• Hamiltonian gravity and noncommutative geometry
• Hamilton formalism in non-commutative geometry
• Connes duality in pseudo-Riemannian geometry
• Cauchy surfaces in a globally hyperbolic space-time
• SPECTRAL GEOMETRY AND CAUSALITY
• SPECTRAL GEOMETRY OF SPACETIME
• The existence of cosmic time functions
• The Large Scale Structure of Space-Time
• General Relativity

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