Discrete symmetries and quantum number conservation

Abstract

The algebraic formulation of discrete $P$ and $T$ space-time symmetries is related to fermion quantum numbers defined by a $C{l}_{3,3}$ sub-algebra of the $C{l}_{7,7}$ Clifford Unification algebra. Fermion decays and interactions have been shown to conserve all seven binary quantum numbers defined by $C{l}_{7,7}$. The previously formulated {\it Conservation Law} is modified to include the effects of employing distinct F,G quantum numbers in descriptions of fermions with C=+1 and C=$-1$. This is relevant in interpreting the results of high energy experiments.

7 pages. The labels 6, 7, 8 of the gamma matrices have been replaced by a, b, c respectively. The references to the PMNS matrix have been removed