7 citations · 14 across the 4 of their papers we have counts for
4 papers
On the uniqueness of Barrett's solution to the fermion doubling problem in Noncommutative Geometry
Fabien Besnard
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 fermi…
A remark on the mathematics of the seesaw mechanism
Fabien Besnard
To demonstrate that matrices of seesaw type lead to a hieararchy in the neutrino masses, i.e. that there is a large gap in the singular spectrum of these matrices, one generally us…
On the definition of spacetimes in Noncommutative Geometry, part II
Fabien Besnard
In this second part of the paper, we define spectral spacetimes, a noncommutative generalization of Lorentzian orientable spacetimes of even dimension with a spin structure. There…
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}…