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Lorentzian version of the noncommutative geometry of the standard model of particle physics

Lorentzian version of the noncommutative geometry of the standard model of particle physics

A formulation of the noncommutative geometry for the standard model of particle physics with a Lorentzian signature metric is presented. The elimination of the fermion doubling in the Lorentzian case is achieved by a modification of Connes’ internal space geometry [“Gravity coupled with matter and the foundation of non-commutative geometry,” …