BUILDING COSMOLOGICAL MODELS VIA NONCOMMUTATIVE GEOMETRY

DOI10.1142/S0219887811005592zbMath1229.83057MaRDI QIDQ3098889

Matilde Marcolli

Publication date: 18 November 2011

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

zbMATH Keywords

noncommutative geometryinflationary cosmologyspectral actionearly universecosmic topology

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Relativistic cosmology (83F05) Supergravity (83E50) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Methods of noncommutative geometry in general relativity (83C65) Astrophysical cosmology (85A40)

Related Items (4)

Rationality of spectral action for Robertson-Walker metrics ⋮ Spectral action for Bianchi type-IX cosmological models ⋮ Fractality in cosmic topology models with spectral action gravity ⋮ ASYMPTOTIC SAFETY, HYPERGEOMETRIC FUNCTIONS, AND THE HIGGS MASS IN SPECTRAL ACTION MODELS

Cites Work

• Gravity coupled with matter and the foundation of non-commutative geometry
• Topological conformal field theories and Calabi-Yau categories
• The spectral action principle
• Noncommutative Calabi-Yau manifolds
• Continued fractions, modular symbols, and noncommutative geometry
• Geometry from the spectral point of view
• The local index formula in noncommutative geometry
• The Dirac operator on space forms of positive curvature
• Gravity and the standard model with neutrino mixing
• The spectrum of the Dirac operator on \(SU_{2}/Q_{8}\)
• Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
• Dodecahedral topology fails to explain quadrupole–octupole alignment
• Scale invariance in the spectral action
• Lorentzian version of the noncommutative geometry of the standard model of particle physics
• Topological lensing in spherical spaces
• Detecting topology in a nearly flat spherical universe
• Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model

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