Exploring the causal structures of almost commutative geometries

DOI10.3842/SIGMA.2014.010zbMath1291.58003arXiv1310.8225OpenAlexW1985453500MaRDI QIDQ2447867

Michał Eckstein, Nicolas Franco

Publication date: 29 April 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8225

zbMATH Keywords

noncommutative geometrycasual structureLorentzian spectral triple

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Noncommutative geometry (à la Connes) (58B34)

Related Items (12)

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 ⋮ Quantum causality in κ-Minkowski and related constraints ⋮ The disappearance of causality at small scale in almost-commutative manifolds ⋮ Metrics and causality on Moyal planes ⋮ Lorentz signature and twisted spectral triples ⋮ Single extra dimension from \(\kappa\)-Poincaré and gauge invariance ⋮ Causality theory for closed cone structures with applications ⋮ Lorentzian fermionic action by twisting Euclidean spectral triples ⋮ Spectral Noncommutative Geometry Standard Model and all that ⋮ Quantum causality constraints on kappa-Minkowski space-time

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