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Bell's theorem - for or against Hidden Variables?
(07-25-2016, 02:40 PM)Thomas Ray Wrote: Deceptive in this conclusion is the assumption -- not of Alice's and Bob's free will choice -- the experimenter chooses for them.  The experimenter does not have the freedom to choose either a setting or the negation of that setting at the same time. The choices taken one at a time are not equally likely.
In rigorously performed Bell experiments (e.g. Delft, Vienna, NIST), the following is repeated many times according to a predetermined time schedule: a random choice is made between setting a and setting a', and a random choice is made between setting b and b'. Two measurements are made. Good care is taken that the outcome of each measurement is recorded definitively before any information could arrive as to the setting chosen in the other wing of the experiment.
A nice discussion of how to impose this principle is given by Stefano Pironio in http://arxiv.org/abs/1510.00248, "Random 'choices' and the locality loophole".
Randomisation is a powerful tool in experimental sciences. In Bell experiments, it allows us to rule out memory or time-variation as possible explanations of violation of Bell inequalities. Of course if you don't believe in randomisation then you don't need to accept the experimental conclusions (which are statistical in nature).

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RE: Bell's theorem - for or against Hidden Variables? - by gill1109 - 07-25-2016, 04:51 PM

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