Sabine Hossenfelder is going on about superdeterminism yet again. Her aim, clearly, is to show that physics is entirely local, and that the non-locality usually associated with violations of the Bell inequalities does not exist -- so that all physics is entirely local and completely determined.

http://backreaction.blogspot.com/2021/12/does-superdeterminism-save-quantum.html

While I would agree with Sabine that the question of non-locality has nothing to do with 'free will', whatever that might be, I do not agree with her general conclusions. The trouble is that the formalism of quantum mechanics requires a non-separable function for the description of the entangled state. A simple argument would go along the lines that if statistical independence is always correct, then all wave functions must be separable. Since they are not, statistical independence must be violated, or else the formalism of quantum mechanics is completely wrong.

I do not think that Hossenfelder and her associates have ever developed an alternative quantum formalism that incorporates their ideas about hidden variables. Until we have some such formalism that we can examine and compare with experiment, Sabine is just blowing smoke here.

She dodges the real issues by discussing superdeterminism in terms of a simple case, such as the double slit experiment. But the real issues with statistical independence -- the ability of experimenters to freely and independently choose what spin state to measure -- arise in full force only for entangled systems. In order to get a local explanation of violations of Bell inequalities, one must claim that which measurement is made is predetermined, outside the local control of the individual experimenter. Vague statements that the result obtained depends on the measurement made are either trivial or else meaningless without a developed quantum formalism that incorporates the requires hidden variables.

Bruce

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