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The subject of this PhD thesis is noncommutative geometry - more specifically spectral triples - and how it can be generalized to semi-Riemannian manifolds generally, and Lorentzian manifolds in particular.
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L. Boyle, S. Farnsworth, Non-Commutative Geometry, Non-Associative Geometry and the Standard Model of Particle Physics
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S. Lazzarini, T. Schücker, A farewell to unimodularity
2001
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K. Elsner, H. Neumann, H. Upmeier. 2002. Springer. in: F. Scheck, H. Upmeier, W. Werner (eds.) Noncommutative Geometry and the Standard Model of Elementary Particles, Vol. 596 of Lecture Notes in Physics Berlin,, pp. 172-217
2002
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D. V. Vassilevich, Heat kernel expansion: user’s manual
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W. D. van Suijlekom, The noncommutative Lorentzian cylinder as an isospectral deformation
2004
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S. Weinberg, The Quantum Theory of Fields, Volume 1: Foundations
2005
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A. Connes, Noncommutative geometry and the standard model with neutrino mixing
2006
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2014
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A. Devastato, F. Lizzi, P. Martinetti, Grand symmetry, spectral action and the Higgs mass
2014
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N. Franco, Temporal Lorentzian spectral triples
2014
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C. P. Martin, SO(10) GUTs with large tensor representations on Noncommutative Space-time
2014
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M. D. Schwartz, Quantum Field Theory and the Standard Model
2014
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W. D. van Suijlekom, Noncommutative Geometry and Particle Physics
2014
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2015
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S. Farnsworth, L. Boyle, Rethinking Connes’ approach to the standard model of particle physics via non-commutative geometry
2015
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N. Franco, M. Eckstein, Causality in noncommutative two-sheeted space-times
2015
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F. Besnard, On the definition of spacetimes in Noncommutative Geometry, part II
2016
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K. van den Dungen, Krein spectral triples and the fermionic action
2016
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P. Langacker, The Standard Model and Beyond
2017
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F. Besnard, B-L Theory from Noncommutative Geometry
2018
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F. Besnard, N. Bizi, On the definition of spacetimes in noncommutative geometry: Part I
2018
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2018
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N. Bizi, C. Brouder, F. Besnard, Space and time dimensions of algebras with applications to Lorentzian noncommutative geometry and the Standard Model
2018
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M. Tanabashi et al, Review of Particle Physics
2018
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