Abstract
Tests of Bell's theorem rule out local hidden variables theories. But any theorem is only as good as the assumptions that go into it, and one of these assumptions is that the experimenter can freely choose the detector settings. Without this assumption, one enters the realm of superdeterministic hidden variables theories and can no longer use Bell's theorem as a criterion. One can like or not like such superdeterministic hidden variables theories and their inevitable nonlocality, the real question is how one can test them. Here, we propose a possible experiment that could reveal superdeterminism.
Highlights
For any locally causal theory, the attempt to explain quantum effects by use of randomness induced through hidden variables can be shown to be in disagreement with experiment via Bell’s theorem [1], or its generalization respectively [2]
Superdeterminism requires a nonlocal correlation between the prepared state and the detector which seems unappealing
In a superdeterministic hidden variables theory, the observables will be correlated - provided one can make a case that the hidden variables do not change in between the measurements
Summary
For any locally causal theory, the attempt to explain quantum effects by use of randomness induced through hidden variables can be shown to be in disagreement with experiment via Bell’s theorem [1], or its generalization respectively [2]. 1. Introduction For any locally causal theory, the attempt to explain quantum effects by use of randomness induced through hidden variables can be shown to be in disagreement with experiment via Bell’s theorem [1], or its generalization respectively [2]. Throughout the last decades, experiments have established that the hidden variables theories for which Bell’s theorem applies are not realized in nature [3, 4, 5, 6, 7, 8, 9] .
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