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Posted by on Nov 30, 2014 in Quantum Mechanics A to L | 0 comments

B. Spin ½ : Is seeing believing?

In the next few posts, I am going to describe spin in an entirely different way.  Immediately you should be skeptical and doubtful that spin could be anything else from its present description: a point particle of intrinsic angular momentum.  Do an experiment: Stern-Gerlach; coincidence photons; delayed choice, then spin is observed to have two pure states and these are defined with respect to the laboratory frame of reference. Think of NMR (Nuclear Magnetic Resonance) and MRI (Magnetic Resonance Imaging).  In these experiments, spins align with magnetic fields and their polarizations are measured. In quantum mechanics, spin is postulated, but it arises naturally in quantum field theory from the Dirac equation.  Everything is clear mathematically, but parts make no sense. You have to accept that Nature is non-local. Here are some questions: Does spin remain a point particle vector when not observed?  Align a bunch of spins in a magnetic field, and then remove the field.  Do those individual spins remain as observed: point particles of spin, or do they...

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Posted by on Dec 6, 2014 in Quantum Mechanics A to L | 0 comments

C. A Different Dirac Algebra

But two times? The first is the usual linear time that differs in different inertial frames. The second is a rotational time which rotates in the plane of the 2D flat space. This is a phase time or a frequency and accounts for the different relative rotations of 2D objects in different inertial frames.

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Posted by on Jan 14, 2015 in Quantum Mechanics A to L | 0 comments

D. A Dirac equation for mirror states

That is, these two states are reflections of each other, see the figure, The operation of reflection via P13 changes one state into its mirror image. This is exactly the property sort by Yang and Lee to solve the fact that parity is not conserved for the electro-weak force. Using their example, if cobalt atoms undergo beta decay, and you watch it in a mirror, then the magnetic moments are not reflected, and so parity is violated.

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Posted by on Jan 18, 2015 in Quantum Mechanics A to L | 0 comments

E. 2D Dirac Equation and Spin

One therefore has a choice. Accept usual spin that leads to entangled states and a non-local and indeterministic foundation of Nature. Alternately, you can choose the 2D structured spin which gives both a local and realistic view of Nature. Experimentally, the two cannot be distinguished and so the treatment here is not inconsistent with any experimental results.

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