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A solution of the so-called fermion doubling problem in Connes' Noncommutative Standard Model has been given by Barrett in 2006 in the form of Majorana-Weyl conditions on the fermionic field.
Spinor structure of spacetimes in general relativity. i
R. Geroch · 1968
Earlier work this paper cites.
Fermion Hilbert space and fermion doubling in the noncommutative geometry approach to gauge theories
F. Lizzi, G. Mangano, G. Miele, and G. Sparano · 1997
Earlier work this paper cites.
Noncommutative geometry and the standard model with neutrino mixing
A. Connes · 2006
Earlier work this paper cites.
A Lorentzian version of the non-commutative geometry of the standard model of particle
J. W. Barrett · 2007
Earlier work this paper cites.
Why the standard model
A. H. Chamseddine and A. Connes · 2008
Cited alongside, same era.
Beyond the spectral standard model: emergence of Pati-Salam unification
A.H. Chamseddine, A. Connes, and W.D. van Suijlekom · 2013
Cited alongside, same era.
Non-commutative geometry, non-associative geometry and the Standard Model of particle physics
L. Boyle and S. Farnsworth · 2014
Cited alongside, same era.
The Standard Model as an extension of the noncommutative algebra of forms
C. Brouder, N. Bizi, and F. Besnard · 2015
Cited alongside, same era.
Wick rotation and fermion doubling in noncommutative geometry
F. D’Andrea, M. Kurkov, and F. Lizzi · 2016
Later among the works it cites.
Semi-Riemannian Noncommutative Geometry, Gauge Theory and the Standard Model of particle physics
N. Bizi · 2018
Later among the works it cites.
On the definition of spacetimes in noncommutative geometry: part i
F. Besnard and N. Bizi · 2018
Later among the works it cites.
Algebraic backgrounds: a framework for noncommutative Kaluza-Klein theory
F. Besnard · 2019
Closest in time.
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