A spectral quadruple for de Sitter space

DOI10.1063/1.1420744zbMath1059.58020arXivmath-ph/0012012OpenAlexW1972191051MaRDI QIDQ4830711

Mario Paschke, Tomáš Kopf

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0012012

Mathematics Subject Classification ID

Noncommutative global analysis, noncommutative residues (58J42)

Related Items (9)

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) ⋮ The metric nature of matter ⋮ Dirac field on Moyal-Minkowski spacetime and non-commutative potential scattering ⋮ On semi-classical states of quantum gravity and noncommutative geometry ⋮ Coupling shape dynamics to matter gives spacetime ⋮ Field theories on deformed spaces ⋮ On noncommutative and pseudo-Riemannian geometry

Cites Work

• Gravity coupled with matter and the foundation of non-commutative geometry
• Classification of finite spectral triples
• Hamiltonian gravity and noncommutative geometry
• SPECTRAL GEOMETRY AND CAUSALITY
• Discrete spectral triples and their symmetries
• Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories
• Noncommutative geometry and reality
• Eigenfunction Expansions Associated with the Second-Order Invariant Operator on Hyperboloids and Cones. III

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