Special Quantum Geometry Seminar: Matrix algebras, geometry and particle physics

Seminar | March 18 | 2:10-4 p.m. | 736 Evans Hall

 Andrzej Sitarz, Jagiellonian University, Krakow

 Department of Mathematics

Starting from the description of the Standard Model of particle physics based on noncommutative geometry we study the properties of the matrix algebras in the model. We demonstrate that there exists a new previously unknown geometric feature of the model, which can be mathematically stated that the Hilbert space of particles is a self-Morita equivalence bimodule for the associated generalization of the Clifford algebra. The experimental data support the existence of such property and, even more, some of the observed facts (like the neutrino and quark mass-mixing and the nondegeneracy of fermion masses) are necessary for it.