## Z-3 graded generalization of Dirac's equation and modified color dynamics

#### by Prof. Richard Kerner

*Laboratoire De Physique Théorique De La Matière Condensée, Sorbonne-Université*

##### at Special seminar

Sun, 26 May 2019, 11:15

Sacta-Rashi Building for Physics (54), room 207

#### Abstract

We propose a generalization od Dirac's equation including the discrete Z3 symmetry in order to incorporate the colour variable along with spin and charge, both representing Z2-symmetries. The resulting discrete symmetry group is Z3 x Z2 x Z2, and the corresponding wave functions have 12 components. The corresponding Dirac operator is a 12 x 12 matrix, and diagonalizes only at sixth power, leading to a sixth-order dispersion relations for energy-momentum. The Lorentz invariance is recovered via introduction of extra mutiplets, i.e. flavours and families. The gauge fields reproduce the usual Standard Model, and confinement is obtained via algebraical exclusion principle.

Created on 16-05-2019 by Citron, Zvi (zhcitron)

Updaded on 16-05-2019 by Citron, Zvi (zhcitron)