Clifford algebra geometric-multispinor particles and multivector-current gauge fields

A new class of multivector quantum mechanics is defined in which the theoretical gains over standard formalism are fully illustrated. Multiple generations of particles appear when column spinors are replaced by Clifford multivectors (matrices associated with physical geometry). New gauge fields arise from now-allowable right-side-applied transformations, independent of the usual left-sided ones. The number and group structure of the gauge generators is a function of the dimension and metric of the underlying geometric space, where constraints on a multivector Lagrangian suppress some interactions.