- #1
MichPod
- 228
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- TL;DR Summary
- Trying to disprove superdeterministic interpretation
I think I have something which can make an argument against superdeterministic interpretation of QM. Not that I am keen of disproving it, but I think that arguments even against some fringe ideas may have non-zero value and are anyway entertaining. I'll be glad to see feedbacks/review for whether this may be considered as a refutation of superdeterminism. I am sure this is not raised for the first time, i.e. my idea is not original, but I could not find it to be mentioned in available sources with either positive or negative attitude, nor with resolution.
Suppose that in the Bell Experiment (putting polarizers against two entrangled photons) we choose the angle of the photon polarizers on both directions based on the digits of decimal representation of two irrational numbers, let it be ##\pi## or ##e## or, say, ##\sqrt 2##. So we make a choice (may be a super-determined choice, if we believe superdeterminism is an option) that on the one end we use the sequence of digits of ##\pi## and on the other end, say, of the ##\sqrt 2##. Then, is it feasible that any super-deterministic local hidden variable theory could explain how the quantum statistics arises in such an experiment? Say, the digits of the irrational numbers are produced by 2 microcomputers staying each one near each polarizer correspondingly. But how the photons will know from any hidden variables of the environment, what are these digits on both sides? The information about the angles of both polarizers should be accessible per photons on the both sides of the experimental device via the hidden variables, either carried by them or found in the environment locally, but how could it ever be possible in such a case? I do understand this argument may lack rigor, i.e. by itself it is not a refutation. But how can it be satisfactory addressed by any possible superdeterministic interpretation?
Suppose that in the Bell Experiment (putting polarizers against two entrangled photons) we choose the angle of the photon polarizers on both directions based on the digits of decimal representation of two irrational numbers, let it be ##\pi## or ##e## or, say, ##\sqrt 2##. So we make a choice (may be a super-determined choice, if we believe superdeterminism is an option) that on the one end we use the sequence of digits of ##\pi## and on the other end, say, of the ##\sqrt 2##. Then, is it feasible that any super-deterministic local hidden variable theory could explain how the quantum statistics arises in such an experiment? Say, the digits of the irrational numbers are produced by 2 microcomputers staying each one near each polarizer correspondingly. But how the photons will know from any hidden variables of the environment, what are these digits on both sides? The information about the angles of both polarizers should be accessible per photons on the both sides of the experimental device via the hidden variables, either carried by them or found in the environment locally, but how could it ever be possible in such a case? I do understand this argument may lack rigor, i.e. by itself it is not a refutation. But how can it be satisfactory addressed by any possible superdeterministic interpretation?