Using CH model of Bell’s theorem and only by applying the conditional probability definition in ”classical ” probability theory,without imposing the locality condition,we are able to show that the stochastic realistic (CH) model cannot reproduce all of the predictions of quantum mechanics. PACS number: 03.65.Bz It is generally claimed that Bell inequalities are inconsistent with experimental data and with the predictions of quantum mechanics.A condition often used in the derivation of Bell inequalities is the so-called locality condition.The temptation is to attribute Bell inequalities violation to the violation of locality. In this paper we are goingUsing CH model of Bell’s theorem and only by applying the conditional probability definition in ”classical ” probability theory,without imposing the locality condition,we are able to show that the stochastic realistic (CH) model cannot reproduce all of the predictions of quantum mechanics. PACS number: 03.65.Bz It is generally claimed that Bell inequalities are inconsistent with experimental data and with the predictions of quantum mechanics.A condition often used in the derivation of Bell inequalities is the so-called locality condition.The temptation is to attribute Bell inequalities violation to the violation of locality. In this paper we are going

arXiv:quant-ph/9811072Nov 25, 19980 citations

Bell’s Inequality for Conditional Probabilities

Andrei Yu. Khrennikov

Springer eBooksJan 1, 20092 citations

On some assumption of Bell's theorem

Czerniawski, Jan

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 la $er is controversial. However, since it is a particularization of the condition of screening off of the principle of common cause, its undermining entails questioning the la$ er 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.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 la$er is controversial. However, since it is a particularization of the condition of screening off of the principle of common cause, its undermining entails questioning the la$er 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.

Jan 1, 20160 citations

er 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 la

er 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.