Why the Standard Model

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dc.creatorChamseddine, Ali H.
dc.creatorConnes, Alain
dc.date2007-06-25
dc.date.accessioned2026-07-07T11:17:11Z
dc.date.available2026-07-07T11:17:11Z
dc.descriptionThe Standard Model is based on the gauge invariance principle with gauge group U(1)xSU(2)xSU(3) and suitable representations for fermions and bosons, which are begging for a conceptual understanding. We propose a purely gravitational explanation: space-time has a fine structure given as a product of a four dimensional continuum by a finite noncommutative geometry F. The raison d'etre for F is to correct the K-theoretic dimension from four to ten (modulo eight). We classify the irreducible finite noncommutative geometries of K-theoretic dimension six and show that the dimension (per generation) is a square of an integer k. Under an additional hypothesis of quaternion linearity, the geometry which reproduces the Standard Model is singled out (and one gets k=4)with the correct quantum numbers for all fields. The spectral action applied to the product MxF delivers the full Standard Model,with neutrino mixing, coupled to gravity, and makes predictions(the number of generations is still an input).
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0706.3688
dc.identifierhttp://arxiv.org/abs/0706.3688
dc.identifierJ.Geom.Phys.58:38-47,2008
dc.identifierdoi:10.1016/j.geomphys.2007.09.011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192924
dc.subjectHigh Energy Physics - Theory
dc.subjectOperator Algebras
dc.titleWhy the Standard Model
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