Bell's Theorem and the Interdiction of Classical Separability

This essay proposes a philosophical reading of Bell’s theorem as an ontological constraint rather than as a technical curiosity of quantum physics. Starting from the EPR argument (Einstein, Podolsky and Rosen), the demand for “completeness” is interpreted as the defence of an inventory ontology: a conception of the real as a set of pre-inscribed properties, locally attributable and defined for measurement counterfactuals. It then shows how Bell formalises this ontology, and how the CHSH inequality (Clauser–Horne–Shimony–Holt) functions as a symbol-operator: a quantitative device that renders testable the compatibility between that ontological grammar and empirically inscribable patterns of correlation. The analysis of experimental practices shifts the focus from “confirmation” to the production of public, repeatable and auditable marks, whose material status makes it possible to exclude entire classes of descriptions of the real. Against the dominant reading in terms of “non-locality” as a mechanism, it is argued that the central consequence is the failure of classical separability and the consequent need for an ontology of material non-separability. The essay concludes with a reformulation of the status of scientific truth after Bell—as material correspondence under constraint—and with a minimal map of interpretations according to their ontological costs.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-26
DOI
https://doi.org/10.5281/zenodo.18090192
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Bell's Theorem and the Interdiction of Classical Separability

David Cota
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
article

Bell's Theorem and the Interdiction of Classical Separability

David Cota
article en

Abstract

This essay proposes a philosophical reading of Bell’s theorem as an ontological constraint rather than as a technical curiosity of quantum physics. Starting from the EPR argument (Einstein, Podolsky and Rosen), the demand for “completeness” is interpreted as the defence of an inventory ontology: a conception of the real as a set of pre-inscribed properties, locally attributable and defined for measurement counterfactuals. It then shows how Bell formalises this ontology, and how the CHSH inequality (Clauser–Horne–Shimony–Holt) functions as a symbol-operator: a quantitative device that renders testable the compatibility between that ontological grammar and empirically inscribable patterns of correlation. The analysis of experimental practices shifts the focus from “confirmation” to the production of public, repeatable and auditable marks, whose material status makes it possible to exclude entire classes of descriptions of the real. Against the dominant reading in terms of “non-locality” as a mechanism, it is argued that the central consequence is the failure of classical separability and the consequent need for an ontology of material non-separability. The essay concludes with a reformulation of the status of scientific truth after Bell—as material correspondence under constraint—and with a minimal map of interpretations according to their ontological costs.

Zenodo (CERN European Organization for Nuclear Research)
Sociedade Portuguesa de Cardiologia (PT)
Quality Education
Openalex Percentile: Top 31%
Quantum Mechanics and Applications
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