Non-commutative Geometry Beyond the Standard Model

Abstract

A natural extension of the standard model within non-commutative geometry is presented. The geometry determines its Higgs sector. This determination is fuzzy, but precise enough to be incompatible with experiment.

12 pages, LaTeX, one error eliminated, published version

References in corpus (4)

• Gravity coupled with matter and foundation of non-commutative geometry
• Anomaly Cancellation and gauge group of the standard model in NCG
• Fuzzy Mass Relations in the Standard Model
• Supersymmetry and Noncommutative Geometry

Cited by in corpus (10)

• Grand Symmetry, Spectral Action, and the Higgs mass
• New Scalar Fields in Noncommutative Geometry
• Noncommutative Geometry for Pedestrians
• Almost-Commutative Geometries Beyond the Standard Model II: New Colours
• Spectral Noncommutative Geometry, Standard Model and all that
• Seesaw and noncommutative geometry
• A Dark Sector Extension of the Almost-Commutative Standard Model
• Constraints on the scalar potential from spectral action principle
• The Inverse Seesaw Mechanism in Noncommutative Geometry
• On variants of the $C+M_2(c)+M_3(C)$ NCG model of elementary particles