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
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Bartosz Kosma Kwasniewski
Invitation to Hilbert C*modules and CuntzPimsner algebras
Monday, May 28, 2018  14:30

Antoine Doeraene
The Airy point process and a system of coupled Painlevé II equations
Monday, May 28, 2018  16:00

Pieter Roffelsen
Singularities of Painlevé IV transcendents
Wednesday, May 30, 2018  16:00

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Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain
Monday, June 4, 2018  14:30
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