Distances en geometrie non commutative
arXiv:math-ph/0112038
Abstract
Cette these etudie l'aspect metrique de la geometrie non commutative a travers la formulation de Connes de la distance entre etats d'une algebre. Sont etudies des exemples d'espaces finis et le modele standard ou le champs de Higgs s'interprete comme coefficient d'une metrique dans une dimension interne discrete.
These de doctorat (en francais)- english summary at the end - 3 figures
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Cited by in corpus (8)
- A View on Optimal Transport from Noncommutative Geometry
- Nonholonomic Clifford Structures and Noncommutative Riemann--Finsler Geometry
- The geometry of physical observables
- On the pseudo-manifold of quantum states
- Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality
- Deformations of anti-de Sitter black holes
- Critical dimension of Spectral Triples
- Towards a Monge-Kantorovich metric in noncommutative geometry