1.4k citations · 8.5k across the 104 of their papers we have counts for
Showing 2010 · hep-thShow all
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hep-th2010★ 14 cited
Noncommutative Geometric Spaces with Boundary: Spectral Action
Ali H. Chamseddine, Alain Connes
We study spectral action for Riemannian manifolds with boundary, and then generalize this to noncommutative spaces which are products of a Riemannian manifold times a finite space.…
hep-th2010★ 11 cited
Space-Time from the spectral point of view
Ali H. Chamseddine, Alain Connes
We develop the spectral point of view on geometry based on the formalism of quantum physics. We start from the simple physical question of specifying our position in space and expl…
hep-th2010★ 102 cited
Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I
Ali H. Chamseddine, Alain Connes
We examine the hypothesis that space-time is a product of a continuous four-dimensional manifold times a finite space. A new tensorial notation is developed to present the various…