Quaternion Spin

This is the authors' abstract. We don't add key points for this paper.

We present an analysis of the Dirac equation when the spin symmetry is changed from SU(2) to the quaternion group, Q₈, afforded by multiplying one of the γ-matrices by the imaginary number. The reason for doing this is to introduce a bivector into the spin algebra. This complexifies the Dirac field which separates into two distinct and complementary spaces: one describing polarization and the other coherence. The former describes a 2D structured spin and the latter its helicity, generated by a unit quaternion.