Noncommutative Geometries and Gravity

2007/10/24 by Folkert Muller-Hoissen, Folkert Müller-Hoissen, Alfredo Macı́as +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Computer science #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #gr-qc

paper · pdf · doi:10.1063/1.2902778

published as AIPConf.Proc.977:12-29,2008 · 18 pages, to appear in the Proceedings of the Third Mexican Meeting on Mathematical and Experimental Physics, Symposium on Gravitation and Cosmology, Mexico City, 10-14 September 2007

arxiv created 2007/10/24 · openalex publication_date 2008/01/01 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

We briefly review ideas about ``noncommutativity of space-time'' and approaches toward a corresponding theory of gravity.

Citations

• Equivariant Lorentzian Spectral Triples
• Reconstruction of manifolds in noncommutative geometry
• Differential calculus on compact matrix pseudogroups (quantum groups)
• On Noncommutative and semi-Riemannian Geometry
• 2 + 1 dimensional gravity as an exactly soluble system
• On the principles of elementary quantum mechanics
• Topological models on the lattice and a remark on string theory cloning
• Deforming Einstein's gravity
• A gravity theory on noncommutative spaces
• Heat Trace Asymptotics on Noncommutative Spaces
• Quantum mechanics as a statistical theory
• The Resolvent Algebra: A New Approach to Canonical Quantum Systems
• An Introduction to Noncommutative Spaces and their Geometry

Cited by

• Quantum complex scalar fields and noncommutativity
• Field Theory with Coordinate Dependent Noncommutativity