On Friday, February 3, 2017 at 10:24:42 PM UTC, ben...@hotmail.com wrote:   
   > On Wednesday, December 28, 2016 at 3:43:37 PM UTC, Jos Bergervoet wrote:   
   > >   ..   
   > > Perhaps, but in the mean time you know exactly what the   
   > > claim is! The photon detectors fire with:   
   > >   1) A fraction (1+cos(2*phi))/2 of events are aligned,   
   > >   2) A fraction (1-cos(2*phi))/2 of events anti-aligned.   
   > > ......   
   >   
   > but won't that give an overall positive correlation instead of a   
   > negative correlation when (say) phi = 45 degrees.   
      
   I would like to add that I am not merely pointing out the sign error here,   
   if indeed there is one.   
   My main reason for posting is that I believe I have found a similar sign   
   error in one of Susskind's online lectures on entanglement.   
   Susskind sets out to prove that QM can break the Bell Inequality AB' + BC'   
   >= AC' for electrons,   
   where Alice measures at 0, Bob at 45 and Charlie at 90 degrees.   
      
   Looking at the 2x2 table of measurements of A and B, the four cells are (+   
   +), (+ -), (- +) and (- -).  Since the table is symmetric wrt Alice and Bob,   
   there is only one degree of freedom for filling in the table.  And if you   
   say that the correlation must be  - 1/ sqrt 2, then there are no degrees of   
   freedom left and the four cells must be 0.073, 0.427, 0.427 and 0.073,   
   respectively, as proportions, using simple algebra rather than QM. The   
   proportion in the (+ +) cell is 0.073 and that is what Susskind calculates   
   using Projection Operators in  a QM calculation except that he calculates   
   that value for AB' which seems to me to be the wrong cell.  I equate   
   AA with (+ +), AB' with (+ -), A'B with (- +) and B'B' with (- -).  Where   
   AB' means A AND NOT_B.   
      
   In a simulation with one million pairs of particles, using hidden variables,   
   I also found 0.073 but for cell (+ +)  i.e. not for AB'.   
      
   For electrons the formula for cell (+ +) is different than for photons being   
   0.25*(1 - cos phi).   
   So did Susskind make a mistake? What inequality did he break, if any?   
      
      
   References  ONLINE VIDEO LECTURE   
   Lecture 5:  Quantum Entanglements, Part 1 (Stanford) October 23, 2006   
   From time = 28 mins to time = 1 hour 12 mins.  Susskind, L.   
   https://www.youtube.com/watch?v=XlLsTaJn9AQ&p=A27CEA1B8B27EB67=09   
      
   AND   
      
   TRANSCRIPT   
   Notes on Susskind=E2=80=99s lecture 5, courtesy of paul@lecture-notes.co.uk   
   http://www.lecture-notes.co.uk/susskind/quantum-entanglements/lecture-   
   5/violation-of-bells-theorem/   
      
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