Bell's Theorem And The Counterfactual Definition Of Locality
Abstract
This paper proposes a solution to the problem of non-locality associated with Bell’s theorem, within the counterfactual approach to the problem. Our proposal is that a counterfactual definition of locality can be maintained, if a subsidiary hypothesis be rejected, “locality involving two counterfactuals”. This amounts to the acceptance of locality in the actual world, and a denial that locality is always valid in counterfactual worlds. This also introduces a metaphysical asymmetry between the factual and counterfactual worlds. This distinction is analogous to what occurs in the derivations of Bell’s theorem which assume hidden-variables, where macroscopic locality can be maintained at the price of rejecting outcome independence. This can be interpreted as non-locality at the level of potentialities, which might be identified with the non-locality of counterfactual worlds. Our solution, presented for the CHSH inequality, is falsifiable, and we test it with two other setups, Bell’s original inequality and the EPR thought-experiment