Corpus ID: 119670946

Semi-riemannian noncommutative geometry, gauge theory, and the standard model of particle physics

@article{Bizi2018SemiriemannianNG,
  title={Semi-riemannian noncommutative geometry, gauge theory, and the standard model of particle physics},
  author={Nadir Bizi},
  journal={arXiv: Mathematical Physics},
  year={2018}
}
  • Nadir Bizi
  • Published 14 September 2018
  • Mathematics, Physics
  • arXiv: Mathematical Physics
The subject of this thesis is noncommutative geometry - more specifically spectral triples - and how it can be used to unify General Relativity with the Standard Model of particle physics. This unification has already been achieved with spectral triples for Riemannian manifolds. The main concern of this thesis is to generalize this construction to semi-Riemannian manifolds generally, and Lorentzian manifolds in particular. The first half of this thesis will thus be dedicated to the transition… Expand

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