Bell’s Theorem and Its Consequences

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.

Damian Canals‐Frau

Jiří Souček

The standard Bell’s theorem states that quantum mechanics (QM) cannot be locally realistic. Here we prove the strong Bell’s theorem which states that QM cannot be realistic. In the proof we use the Mermin’s form of the Bell’s theorem. Our result solves the old dilemma: non-locality or non-realism. Then we discuss the consequences of the strong Bell’s theorem, e.g. that no Bell non-locality of QM exists and that quantum theory is local and non-realistic.

Louis Vervoort

Charles P. Tresser

We prove here a version of Bell Theorem that does not assume locality. As a consequence classical realism, and not locality, is the common source of the violation by nature of all Bell Inequalities.