Any proof of Bell’s theorem reduces to a derivation of one of Bell’s inequalities. The key role in such derivations is played by the condition of factorizability of the joint conditional probability, which may be obtained as a consequence of two other conditions, known as parameter independence and outcome independence. The former is a quite obvious consequence of locality, whereas the latter is controversial. However, since it is a particularization of the condition of screening off of the principle of common cause, its undermining entails questioning the latter condition as well. If successful, any effective proof of Bell’s theorem would demand deriving some of Bell’s inequality without making use of any particularization of screening off. A direction of search for a model breaking this condition is suggested.
Keywords:
Bell’s theorem, quantum entanglement, hidden variables, outcome independence, principle of common cause, screening off, scientific determinism, deterministic chaos