We review differential calculus on modules of Jordan algebras, focusing on the exceptional Jordan
algebra $J^8_3$ that, as shown by Michel Dubois-Violette in "Exceptional quantum geometry and
particle physics" might provide the opportune mathematical background to overcome the main
problems of noncommutative formulation of Standard Model, namely the quark lepton-symmetry
and the three generations of particle. This a joint work with M. Dubois-Violette and L. Dabrowski.
Volume 318 -
Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" (CORFU2017) -
Training School “Quantum Spacetime and Physics Models”
Connections on Jordan modules and particle physics
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Pre-published on:
August 22, 2018
Published on:
August 24, 2018
Abstract
DOI: https://doi.org/10.22323/1.318.0149
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.