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SUMMARY:Bryan Sanctuary (McGill University)
DTSTART:20230128T150000Z
DTEND:20230128T180000Z
DTSTAMP:20260423T011056Z
UID:QMFNoT/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QMFNoT/42/">
 Extrinsic Quaternion Spin</a>\nby Bryan Sanctuary (McGill University) as p
 art of QM Foundations & Nature of Time seminar\n\n\nAbstract\nIf the symme
 try of a spin ½ is changed from SU(2) to the quaternion group\, S8 \, the
 n spin changes from a point  particle to one with a 2D structure.  This re
 veals a missed property of spin. In addition to the usual up and down pola
 rized 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\, $\\sigm
 a$ and the antisymmetric helicity by the bivector\, $i\\sigma$.  Moreover\
 , surprisingly\, the four states of quaternion spin form one particle in t
 he 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.\n\nPolarization and coherence are two complementary elem
 ents of reality\, analogous to position-momentum\; angular momentum and an
 gle\; and energy and time.\n\nMoreover\, it is found that the helicity acc
 ounts for the correlation found in coincident EPR experiments which give a
 n apparent violation of Bell’s Inequalities.  As seen in the figure\, th
 e simulation gives the correlation and more that is observed in experiment
 .  The simulation is trivial\, simply finding which way the spin axis spin
 s. \n\nThe talk is pedagogical with simple geometric arguments to describe
  a separated EPR pair with no entanglement.  This obviates the need for no
 n-local connectivity between Alice and Bob and shows that the apparent vio
 lation of Bell’s Inequalities is evidence for local realism\, and not no
 n-locality.\n\nThe theory has no Local Hidden Variables\, so Bell’s Theo
 rem is irrelevant\, and always satisfied.\n
LOCATION:https://researchseminars.org/talk/QMFNoT/42/
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