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Questions about Free Will Theorem

  1. Nov 14, 2012 #1
    http://arxiv.org/abs/quant-ph/0604079
    The TWIN axiom:. For twinned spin 1 particles, if the first experimenter
    A performs a triple experiment for the frame (x, y, z), producing the result
    x → j, y → k, z → l while the second experimenter B measures a single
    spin in direction w, then if w is one of x, y, z, its result is that w → j, k, or l,
    respectively.
    1. Why the second experimenter performs only single spin measurement. If the first one performs three measurements, the second one could also perform three.?
    2. I here included measurements of the second one in the direction, for instance, 45° acording to x and y axes.

    Lemma: There is no 101-function for the ±33 directions of Figure 1.
    How 33 directions in cube picture in the article are connected with those measurements of spin^2?
     
    Last edited: Nov 14, 2012
  2. jcsd
  3. Nov 14, 2012 #2
    Now, I went through http://www.ams.org/notices/200902/rtx090200226p.pdf
    and I partially followed the ideas. In principle they rotate only one xyz axis for 45° in some directions and they controll if functions 101 agree with pre-existence of different rotations. I need to study more precisely.

    This is improvement of Bell's theorem. Does Free-Will-Theorem tells anything about that free will decision about directions of measurement is connected with free will of a wave function how it will collapse?
     
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