The Clifford algebra $C_4$ is used to construct a theory of fermions that is calculationally identical to the single-particle Dirac spinor theory. The anomalies in the conservation laws of the spinor theory are removed. A verifiable prediction is made that massless fermions cannot have charge or magnetic moment.

• Received 17 August 1979

DOI:https://doi.org/10.1103/PhysRevLett.44.1718