Exposing the Fallacy of Bell's Inequality

Michael Dickson

Stapp's attempt to derive Bell's Inequality from a weak locality condition (Parameter Independence only) while retaining indeterminism, requires careful scrutiny to ensure unambiguous definitions and valid reasoning. Such scrutiny reveals that the argument is fallacious. This result is obtained without commitment to any particular formal analysis of truth conditions for counterfactuals nor to conditions for world similarity.

Pierre A. Millette

Guangye Chen

Bell’s theorem founded on Bell’s inequalities asserts that no local realistic theories can reproduce all quantum mechanical predictions for spin correlation of particle pairs. It is pointed out that the assumption of setting-independent probability makes Bell’s inequalities not impose constraint on all local realistic models and thus constitutes a theoretical loophole of Bell’s theorem. A counterexample is presented by showing that a local realistic model with appropriate probability density reproduces all quantum mechanical predictions. It becomes clear that experiments violate Bell’s inequalities because the real correlation functions are not constrained by these inequalities. It is also exposed that, rigorous logical reasoning of counter factual deduction does not permit to exclude any premises of Bell’s inequalities by a certain amount of experimental violations of these inequalities.

Thomas A. Brody

Marek Żukowski

New types of Bell inequalities and new versions of the Bell theorem will be presented here. They lead to stronger constraints for local realistic theories than the standard inequalities. It will be shown that the fact that such inequalities can be violated indicates not only that we have to abandon classical concepts, but is also a direct indication that quantum states which lead to such violations can, without any further processing, like distillation, etc., be applied to perform tasks with efficiency unattainable for classical systems. Misinterpretations of Bell theorem will be discussed. On one hand, the root of some erroneous claims that there exists a local realistic model for EPR-Bell correlations will be exposed. On the other hand, over-interpretations using vague terms like quantum non-locality or just non-locality will be criticized.

Colin James