The Nilpotent generalization of Dirac’s famous Equation D(N)

where E, p, m, t and r are respectively energy, momentum, mass, time, space and the symbols
± 1, ± i, ± i, ± j, ± k, ± i, ± j, ± k, are used to represent the respective units required by the scalar, pseudo-scalar, quaternion and multivariate vector groups.

The Table of the nilpotents D(N, X_i), where the nilpotent operators X_i² = 0, but X_i 0 specify the quantizations of the experimentally validated Standard Model of elementary particle physics in accordance with the spontaneous symmetry breaking of D(N) together with the simultaneous emergence of 3+1 relativistic space-time:-

Baryons (spin 3/2):

Baryons (spin ½):

Leptons: