Locality and Bell's Inequality

WARNING This is a revised version with respect to the one submitted on Mon, 3 Jul 2000. By mistake an earlier version and not the final one was submitted. Abstract We prove that the locality condition is irrelevant to Bell in equality. We check that the real origin of the Bell’s inequality is the assumption of applicability of classical (Kolmogorovian) probability theory to quantum mechanics. We describe the chameleon effect which allows to construct an experiment realizing a local, realistic, classical, deterministic and macroscopic violation of the Bell inequalities. Index: – Inequalities among numbers – The Bell inequality – Implications of the Bell’s inequalities for the singlet correlations – Bell on the meaning of Bell’s inequality – Critique of Bell’s “vital assumption” – The role of the counterfactual argument in Bell’s proof – Proofs of Bell’s inequality based on counting arguments – The quantum probabilistic analysis – The realism of ballot boxes and the corresponding statistics – The realism of chameleons and the corresponding statistics – Bell’s inequalities and the chamaleon effect – Physical implausibility of Bell’s argument – The role of the single probability space in CHSH’s proof – The role of the counterfactual argument in CHSH’s proof – Physical difference between the CHSH’s and the original Bell’s inequalities – Bibliography