Extrinsic Quaternion Spin

Abstract: If the symmetry of a spin ½ is changed from SU(2) to the quaternion group, S8 , then spin changes from a point particle to one with a 2D structure. This reveals a missed property of spin. In addition to the usual up and down polarized states that are measured, two additional coherent states for L and R helicity are found. This is not the usual helicity defined in particle physics, but an additional attribute of spin. Under the quaternion group, symmetric polarizations are described by the Pauli spin vector, $\sigma$ and the antisymmetric helicity by the bivector, $i\sigma$. Moreover, surprisingly, the four states of quaternion spin form one particle in the Dirac field which replaces the interpretation of Dirac whereby the two-dimensional Dirac spin and its mirror are treated as measured spin and its antimatter twin.

Polarization and coherence are two complementary elements of reality, analogous to position-momentum; angular momentum and angle; and energy and time.

Moreover, it is found that the helicity accounts for the correlation found in coincident EPR experiments which give an apparent violation of Bell’s Inequalities. As seen in the figure, the simulation gives the correlation and more that is observed in experiment. The simulation is trivial, simply finding which way the spin axis spins.

The talk is pedagogical with simple geometric arguments to describe a separated EPR pair with no entanglement. This obviates the need for non-local connectivity between Alice and Bob and shows that the apparent violation of Bell’s Inequalities is evidence for local realism, and not non-locality.

The theory has no Local Hidden Variables, so Bell’s Theorem is irrelevant, and always satisfied.

mathematical physicsgeneral physicsquantum physics

Audience: researchers in the topic

---

QM Foundations & Nature of Time seminar

Series comments: Description: Physics foundations discussion seminar

Current access link in th.if.uj.edu.pl/~dudaj/QMFNoT

---