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We introduce a new formulation of the real-spectral-triple formalism in non-commutative geometry (NCG): we explain its mathematical advantages and its success in capturing the structure of the standard model of particle physics.
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J. M. Gracia-Bondia, J. C. Varilly and H. Figueroa, Elements of noncommutative geometry
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J. W. Barrett, “A Lorentzian version of the non-commutative geometry of the standard model of particle physics,” J. Math. Phys. 48
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A. H. Chamseddine, A. Connes and M. Marcolli, “Gravity and the standard model with neutrino mixing,” Adv. Theor. Math. Phys. 11
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2014
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A. H. Chamseddine, A. Connes and V. Mukhanov, JHEP 1412
2014
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A. Devastato, F. Lizzi and P. Martinetti, JHEP 1401
2014
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W. D. van Suijlekom, Noncommutative Geometry and Particle Physics
2015
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2015
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S. Farnsworth and L. Boyle, JHEP 1507
2015
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A. H. Chamseddine, A. Connes and V. Mukhanov, Phys. Rev. Lett. 114
2015
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A. H. Chamseddine, A. Connes and W. D. van Suijlekom, JHEP 1511
2015
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J. W. Barrett, J. Math. Phys. 56
2015
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S. Farnsworth, J. Math. Phys. 58
2017
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