Description:
<jats:p>A relativistic quantum theory of spin- 1/2 fermions is presented that includes a charge algebra, as well as an operator that distinguishes between leptons and baryons. This, in effect, extends the Clifford algebra C4 of Dirac’s γ matrices to C7. Moreover, the particle states Ψ are represented here by elements of C7 as products of projection operators, instead of column vectors. A number of important results are derived, and the theory serves as a foundation for constructing physical particle states as tensor products of the bare fermion states.</jats:p>