Rethinking Nonlocality: Locality, Counterfactuals, and the EPR-Bell Argument

The widespread claim that violations of Bell inequalities establish the nonlocality of nature is critically reexamined. It is argued that this conclusion is not logically compelled by either the Einstein--Podolsky--Rosen (EPR) argument or Bell's theorem. The analysis highlights the central role of counterfactual reasoning -- the assumption that outcomes of unperformed measurements possess definite values -- in deriving Bell inequalities. It is shown that these inequalities follow not from locality alone, but from the conjunction of locality with a global assignment of values across incompatible measurement contexts. Their experimental violation therefore signals the impossibility of such a global assignment, i.e.\ contextuality, rather than necessarily implying nonlocal causation. This interpretation aligns with Bohr's emphasis on the contextual character of physical quantities and is naturally formulated within modern sheaf-theoretic approaches to contextuality.

Source: arXiv:2604.26916v1 - http://arxiv.org/abs/2604.26916v1 PDF: https://arxiv.org/pdf/2604.26916v1 Original Link: http://arxiv.org/abs/2604.26916v1