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A Critical Analysis of the Quantum Nonlocality Problem: On the Polemic Assessment of What Bell Did

Justo Pastor Lambare

Published May 23, 2024• 0 citations

Abstract

Despite their Nobel prize-winning empirical confirmation, the interpretation of the Bell inequality remains controversial. By carefully analyzing Bell's work on nonlocality, we show how the correct appreciation of Bell's rationale calls for reformulating a widespread argument on quantum nonlocality, yielding a more consistent formulation of the problem. We delve into a formal proof of quantum mechanics' violation of local causality strikingly overlooked in favor of less appropriate arguments. For completeness, we also mention a few alternatives that may rationally justify considering quantum mechanics as a local theory.

DOI: 10.20944/preprints202205.0015.v8

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We review John Stewart Bell's works and analyze his arguments regarding nonlocality as he developed them from 1964 until his sudden and unexpected death in 1990. Although the alleged nonlocal character of quantum mechanics is inextricably related to the formulation of the Bell theorem, that relation is usually inappropriately posed and disagrees with Bell's own formulation. The departure from the clear line of reasoning that Bell tried to convey has contributed to a polarization of part of the scientific community. That the interpretation of a result whose empirical verification deserved a Nobel Prize remains so controversial is unfortunate. We show how the correct appreciation of Bell's rationale calls for reformulating a widespread argument on quantum nonlocality, yielding a more balanced perspective of the problem. We highlight a more formal proof of quantum mechanics' violation of local causality. Finally, we mention a few alternatives that may justify considering quantum mechanics as a local theory.

Despite their Nobel Prize-winning empirical implementation, the Bell inequality interpretation remains controversial. An objective analysis of Bell's work on nonlocality shows that Bell's rationale calls for reconsidering a widespread argument on quantum nonlocality, yielding a precise formulation free from the usual obscurities that lead to misleading controversies. By dismissing unnecessary metaphysical tenets, it is possible to probe the core of the problem and determine under what rational assumptions locality or nonlocality become feasible alternatives clarifying their relation to the Bell inequality. The approach renders a more balanced perspective over a long-standing polarized interpretative debate.

We review John Stewart Bell's works from a historical perspective and analyze his arguments regarding nonlocality as he developed them from 1964 until his sudden and unexpected death in 1990. Although the alleged nonlocal character of quantum mechanics is inextricably related to the formulation of the Bell theorem, that relation is usually inappropriately posed and disagrees with Bell's own formulation. The departure from the clear line of reasoning that Bell tried to convey has contributed to a polarization of part of the scientific community into radical irreconcilable positions. We show how the correct appreciation of Bell's rationale calls for reformulating a widespread argument on quantum nonlocality yielding a more balanced perspective of the problem. We highlight a more formal proof of quantum mechanics' violation of local causality. Finally, we mention a few alternatives that may justify considering quantum mechanics as a local theory.

The alleged nonlocal character of quantum mechanics is inextricably related to the formulation of the Bell theorem. That relation, however, is commonly incorrectly assessed. The departure from the clear line of reasoning that John Bell tried to convey has led to a polarization of part of the scientific community into radical irreconcilable positions. We show how the correct appreciation of Bell's work calls for reinterpreting the usual significance given to the Bell theorem yielding a more rational perspective of the problem. We formalize the correct argument sustaining the nonlocal character of quantum mechanics and also comment on alternatives that may justify considering quantum mechanics as a local theory.