Why the Standard Model
By A. Chamseddine, Alain Connes. 2007
150 citations recorded by the source corpus.
Abstract The Standard Model is based on the gauge invariance principle with gauge group U ( 1 ) × SU ( 2 ) × SU ( 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 M × F delivers the full Standard Model, with neutrino mixing, coupled to gravity, and makes predictions (the number of generations is still an input).
Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9365af2f0eefeb802a7f8275c3522485ed44e75d
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In Mathematical Physics
- Alain Connes
- H. Moscovici
- Masoud Khalkhali
- Matilde Marcolli
- Farzad Fathizadeh
- Sorin Popa
- James M. Borger
- Guoliang Yu
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- On the spectral characterization of manifolds (2008, background): “All this plays an important role in the noncommutative geometry understanding of the standard model [7], [6], [5].”