C.V.

Fabien Besnard, né le 07/02/1972

 

Agrégé et docteur en mathématiques

Enseignant-chercheur à l'EPF

 

 

Thèmes de recherche


·         Géométrie non commutative

·         Physique et philosophie du temps

Articles publiés


·         N. Bizi, C. Brouder, F. Besnard, Space and time dimensions of algebras with applications to Lorentzian noncommutative geometry and quantum electrodynamics, J. Math. Phys. 59 (6), 062303 (2018)

arXiv:1611.07062

 

·         F. Besnard, Spacetimes in Noncommutative Geometry: a definition and some examples, J. Phys. : Conf. Ser. 968, 1 (2018)

·         F. Besnard, N. Bizi, On the definition of spacetimes in Noncommutative Geometry, part I, J. Geom. Phys. 123, 292--309, (2018) arXiv:1611.07830

·         F. Besnard, A remark on the mathematics of the seesaw mechanism, J. Phys. Comm. 1, 1 (2017)

·         N. Bizi, F. Besnard, The disappearance of causality at small scale in almost-commutative manifolds, J. Math. Phys. 58 (9), 092301(2017)

o    arXiv:1411.0878

·         F. Besnard, Two roads to noncommutative causality, J. Phys.: Conf. Ser. 634 (2015)

·         F. Besnard, Noncommutative ordered spaces : examples and counterexamples, Class. Quantum Grav. 32 (2015) 135024 arXiv:1312.2442

·         F. Besnard, Causality and noncommutative geometry, PoS, Frontiers of Fundamental Physics 14, 15-18 (2014)

·         F. Besnard, An approximation theorem for non-decreasing functions on compacts posets, J. Approx. Theory 172 (2013) 1-3 arxiv.org/abs/1208.2616

·         F. Besnard, Simultaneity in Minkowski spacetime: from uniqueness to arbitrariness, Found. Phys. 42, 9 (2012) arXiv:1104.1263v1 [math-ph]

·         F. Besnard, Is there a philosophy of time compatible with relativity and quantum mechanics ?, AIP Conf. Proc. 1446, pp. 437-447 (2012)

·         F. Besnard, A noncommutative view on topology and order, J. Geom. Phys. 59, (2009) 861--875 math.OA/0804.3551

·         F. Besnard, Canonical quantization and the spectral action : a nice example , J. Geom. Phys. 57, 9 (2007) 1757--1770

·         F. Besnard, Number Operator Algebras, Mathematical Physics Electronic Journal, vol. 7, No 54. (2002), 59 p.

·         F. Besnard, Number Operator Algebras and Deformations of e-algebras, Lett. in Math. Phys. 55 (2001), 113-125 math-ph/0006012

·         F. Besnard, Classification des algèbres à opérateurs de nombre de présentation quadratique, C.R. Acad. Sci. Paris, Série I, t. 331 (2000), 17-20

 

 

Preprints et manuscripts


·         F. Besnard, Algebraic backgrounds : a framework for noncommutative Kaluza-Klein theory, (2019)

arXiv:1902.09387

 

·         F. Besnard, N. Bizi, Doppler shift in semi-Riemannian signature and the non-uniqueness of the Krein space of spinors,(2018)

arXiv:1806.11283

 

·         F. Besnard, On the definition of spacetimes in Noncommutative Geometry, part II, (2016)

arXiv:1611.07842

 

·         C. Brouder, N. Bizi, F. Besnard, The Standard Model as an extension of the noncommutative algebra of forms, (2015) arXiv:1504.03890

·         F. Besnard, Time of Philosophers, Time of Physicists, Time of Mathematicians, (2010) PhilSci archive/00005557

·         F. Besnard, Number Operator Algebras and Generalizations of Supersymmetry (2004), math-ph/0401007

·         F. Besnard, Refutations of the simulation argument (2004)

Articles de presse grand public & blogs


·         L'Éléphant, n°2, n°3, n°4 (2013), n°5, n°8 (2014)

·         La Recherche, n° 374, n° 379 (2004)

·         SPS n° 286 (2009)

·         Le blog des livres

·         Mathéphysique

CV détaillé