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It only applies to a certain class of local hidden variable theories.
Bell's inequality does not apply to some possible hidden variable theories.
Figure 5 highlights experimental data points inexplicable by local hidden variable theory.
To illustrate this idea, we can formulate a very simple hidden variable theory for the above thought experiment.
Such a theory is called a hidden variable theory.
The one discussed here holds only for a very limited class of local hidden variable theories and has never been used in practical experiments.
Dropping the principle that the wave function is a complete description results in a hidden variable theory.
The tests are not capable of determining whether Bell has accurately described all local hidden variable theories.
Experiments have generally favoured quantum mechanics as a description of nature, over local hidden variable theories.
In fact, it might have just missed the kind of hidden variable theories that Einstein is most interested in.
Previously some new hypotheses were conjectured concerning the role of time in constructing hidden variables theory.
For this sort of reason rejuvenated hidden variable theories have not found much acceptance among professional quantum mechanics.
A 2007 experiment ruled out a large class of non-Bohmian non-local hidden variable theories.
The de Broglie-Bohm theory is an example of a hidden variables theory.
The wistful longing after a determinate hidden variable theory clearly remained unassuaged.
See local hidden variable theory.
They support the predictions of quantum mechanics rather than the class of hidden variable theories supported by Einstein.
Bell's Theorem states that the predictions of quantum mechanics cannot be reproduced by any local hidden variable theory.
When there are some non-detections, hidden variable theories exist that, like quantum mechanics, predict violation of the inequality.
Arthur Fine subsequently showed that any theory satisfying the inequalities can be modeled by a local hidden variable theory.
Later, in 1932, John von Neumann published a paper claiming to prove that all hidden variable theories were impossible.
The tests are, in theory, capable of showing whether local hidden variable theories as envisaged by Bell accurately predict experimental results.
The experiment is declared to have supported the QM prediction and ruled out all local hidden variable theories.
Bohm proposed a hidden variable theory of quantum physics (see Bohm interpretation).
Hence, the KS theorem does only exclude noncontextual hidden variable theories.