Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-08-05
Physics
High Energy Physics
High Energy Physics - Theory
19 pages. To appear in the Proceedings of the 12th Marcel Grossmann meeting
Scientific paper
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 explain how the spectral geometric point of view provides a new paradigm to model space-time whose fine structure can be encoded by a finite geometry. The classification of the irreducible finite geometries of KO-dimension 6 singles out a ``symplectic--unitary" candidate F, which when used as the fine texture of space-time delivers from pure gravity on M x F the Standard Model coupled to gravity and, once extrapolated to unification scale, gives testable predictions.
Chamseddine Ali H.
Connes Alain
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