From: goldenfieldquaternions@gmail.com   
      
   On Friday, March 1, 2019 at 3:09:33 AM UTC-6, ben...@hotmail.com wrote:   
      
   >   
   > Thank you, Tom.   
   >   
   > I am not clear that the electron spin axis in your post has been aligned   
   > exactly with a given direction.  I agree that it is aligned in the   
   > direction of its linear momentum, but that direction was not (could not   
   > be?) a given or pre-selected direction.   
      
   The electron with a mass has spin with projection along the momentum given   
   by m = 1/2, -1/2. I indicated above what the uncertainty in momenta is with   
   measurement, and since the z-component of spin is projected along the   
   momentum the above uncertainty in angle will pertain to the spin of the   
   electron.   
      
   LC   
      
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