8 February 2024
Presents duality between spectral triples and Lorentzian twisted versions
Defines new spectral triple with Lorentz invariant fermionic action
Offers original approach to Lorentzian geometry in noncommutative geometry
Provides candidate spectral triple for noncommutative standard model
Duality between Lorentzian twisted spectral triples and spectral triples
This paper presents a duality between spectral triples and Lorentzian twisted spectral triples. The duality defines a new spectral triple with a Lorentz invariant fermionic action, offering an original approach to Lorentzian geometry in noncommutative geometry. It provides a candidate for the spectral triple of the noncommutative standard model of particle physics.
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