24 citations · 39 across the 5 of their papers we have counts for
5 papers
Thesis: Semi-Riemannian Noncommutative Geometry, Gauge Theory, and the Standard Model of Particle Physics
Nadir Bizi
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 Lorentzia…
Doppler shift in semi-Riemannian signature and the non-uniqueness of the Krein space of spinors
Fabien Besnard, Nadir Bizi
We give examples illustrating the fact that the different space/time splittings of the tangent bundle of a semi-Riemannian spin manifold give rise to non-equivalent norms on the sp…
Space and time dimensions of algebras with applications to Lorentzian noncommutative geometry and quantum electrodynamics
Nadir Bizi, Christian Brouder, Fabien Besnard
An analogy with real Clifford algebras on even-dimensional vector spaces suggests to assign a couple of space and time dimensions modulo 8 to any algebra (represented over a comple…
The Standard Model as an extension of the noncommutative algebra of forms
Christian Brouder, Nadir Bizi, Fabien Besnard
The Standard Model of particle physics can be deduced from a small number of axioms within Connes' noncommutative geometry (NCG). Boyle and Farnsworth [New J. Phys. 16 (2014) 12302…
The disappearance of causality at small scale in almost-commutative manifolds
Nadir Bizi, Fabien Besnard
This paper continues the investigations of noncommutative ordered spaces put forward by one of the authors. These metaphoric spaces are defined dually by so-called \emph{isocones}…