Based on an interpretation of the quarklepton symmetry in terms of the unimodularity of the color group and on the existence of 3 generations, we develop an argumentation suggesting that the finite quantum space corresponding to the exceptional formally real Jordan algebra of dimension 27 is relevant for the description of internal space in the theory of particles. More generally it is suggested that the replacement of the algebra of real functions on spacetime by the algebra of functions on spacetime with values in a finitedimensional Euclidean Jordan algebra is relevant in particle physics. This leads us to study the theory of Jordan module and to develop the differential calculus over Jordan algebras. We formulate the corresponding theory of connections.
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Exceptional quantum geometry and particle physics
Research Group:
Prof
Michel DuboisViolette
Institution:
Université Paris Sud
Location:
A133
Schedule:
Tuesday, October 25, 2016  16:00 to 18:00
Abstract:
Openings
Upcoming events

Davide Barilari
Geometric interpolation inequalities: from Riemannian to subRiemannian geometry
Thursday, November 23, 2017  11:30

Francesco Boarotto
Bounds on the loss of regularity of timeoptimal trajectories of generic control affine systems
Thursday, November 23, 2017  15:00 to 16:30

Marta Strani
Transition from hyperbolicity to ellipticity in hyperbolic systems
Monday, November 27, 2017  14:30

Monica Ugaglia
Aristotle’s Hydrostatical nonMathematical Physics
Wednesday, November 29, 2017  16:00
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