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Would you believe two? :-) Bohmian mechanics describes a classical pseudo random number generator that deterministically decides the outcome of quantum measurem

Would you believe two? :-) Bohmian mechanics describes a classical pseudo random number generator that deterministically decides the outcome of quantum measurements, using instant communication between measurements so that conditional probability works. The modern rejection of classical uncertainty as an interpretation of quantum uncertainty stems from Bell's theorem, which shows that any model that achieves a similar philosophical goal as Bohmian mechanics has a similarly dissatisfactory reliance on instant communication. People of Heisenberg's generation had the right intuitions and were guessing in the right directions but they did not know Bell's theorem, or even that it was a worthwhile question.

jostylr 2y ago
EPR demonstrated that if you insist on locality and experiments having results in accordance with quantum predictions, then there must be pre-existing elements of reality that determine the results. Bell demonstrated that pre-existing elements of reality and the quantum results of experiments are incompatible with locality. The two together imply that if you assume experiments have results when we say they do in the way quantum mechanics predicts, then there is something nonlocal going on. Hidden variable theories do not add to nor remove the problem of non locality though Bohmian mechanics makes it very clear what the mechanism is. Many worlds gets around this since experiments do not have definite results in that theory. Instead, the experimenter splits into multiple copies, each of which thinks there is a result of the experiment, but that is an illusion.
- moi2388 2y ago
  No, that is only the case if you assume the experimenter is free to choose the experiment. Bell shows that in that case either locality or realism is violated. However, there is a simpler explanation, namely superdeterminism. You are in fact not free to choose the experiment, this choice also has physical causes.

jostylr 2y ago

EPR demonstrated that if you insist on locality and experiments having results in accordance with quantum predictions, then there must be pre-existing elements of reality that determine the results. Bell demonstrated that pre-existing elements of reality and the quantum results of experiments are incompatible with locality. The two together imply that if you assume experiments have results when we say they do in the way quantum mechanics predicts, then there is something nonlocal going on. Hidden variable theories do not add to nor remove the problem of non locality though Bohmian mechanics makes it very clear what the mechanism is. Many worlds gets around this since experiments do not have definite results in that theory. Instead, the experimenter splits into multiple copies, each of which thinks there is a result of the experiment, but that is an illusion.

moi2388 2y ago
No, that is only the case if you assume the experimenter is free to choose the experiment. Bell shows that in that case either locality or realism is violated. However, there is a simpler explanation, namely superdeterminism. You are in fact not free to choose the experiment, this choice also has physical causes.