Quaternion Spin: Structure and Properties

Previously we extended the definition of spin 12 by including coherence in addition to the usual polarization. This followed after noting that the geometric product of two Pauli spin components has contributions from both a Pauli vector and a Pauli bivector, but the Dirac equation has no bivector. Introducing one complexifies the Dirac field, leading to the definition of helicity which is the complementary property to spin polarization. The resulting symmetry change leads to the resolution of the EPR paradox and disproves Bell’s Theorem. In this paper, we expand on the symmetry and parity arguments which support quaternion, or Q-spin. We relate it to Twistor theory, and discuss the implication on Dirac’s matter-antimatter production. We show that Q-spin has a number of similarities with a photon. We summarize the symmetry breaking where the classical domain bifurcates into complementary quantum domains of matter and torques.