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arXiv:quant-ph/0402001 · Springer eBooks

Bell’s Theorem: The Naive View of an Experimentalist

Alain Aspect

Published Jan 1, 2002• 111 citations
arXivHTMLPDF
DOI
10.1007/978-3-662-05032-3_9

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Peer review Bell's Theorem - The Naive View of an Experimentalist Alain Aspect

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This work presents a critical peer review of Alain Aspect's Bell's Theorem: The Naive View of an Experimentalist from the perspective of foundational theoretical physics. While recognizing the manuscript as a landmark historical and experimental contribution to quantum optics, the review examines its underlying logical architecture rather than its experimental methodology. It is argued that the central ingredients of the analysis—including the entangled state, hidden variables, probability measure, locality condition, subsystem separability, and wavefunction collapse—are introduced as axiomatic assumptions rather than derived from a more fundamental physical principle. Consequently, the observed violation of Bell inequalities establishes the incompatibility of quantum mechanics with a restricted class of local hidden-variable theories, but does not uniquely determine the ontological structure of physical reality. The review distinguishes experimental validation from foundational derivation and emphasizes that alternative theoretical architectures based on globally coherent fields or emergent non-separable dynamics remain logically outside the scope of Bell's theorem. The manuscript is therefore assessed as an outstanding experimental milestone whose foundational conclusions remain structurally incomplete.

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In the footsteps of the article by A. Aspect BELL'S THEOREM: the naive view of an experimentalist. As in equation (23) has detected an error (or typo), I took the trouble to verify calculations from 1 to 5 sections of the article. Are some clarifying points that are important for understanding the essence. Given an elementary conclusion of formulas (3), which is omitted in the article. The Bell's inequality, derived on the basis of the general model for a dichotomous variable, disturbed the quantum mechanical model for a pair of entangled photons. In Bell's article it is clearly (though not very detailed) shown. No artificial gadgets is not able to resolve this contradiction. The only thing that causes confusion is the procedure of creating a mixed state of two photons and the essence conceptual view of mathematics experiment. Theoretically, this procedure can be represented as a symmetrization of the wave function of the pair. However, how does the transfer of this idea to the technical essence of the experiment is unclear.

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This work presents a critical peer review of Alain Aspect's Bell's Theorem: The Naive View of an Experimentalist from the perspective of foundational theoretical physics. While recognizing the manuscript as a landmark historical and experimental contribution to quantum optics, the review examines its underlying logical architecture rather than its experimental methodology. It is argued that the central ingredients of the analysis—including the entangled state, hidden variables, probability measure, locality condition, subsystem separability, and wavefunction collapse—are introduced as axiomatic assumptions rather than derived from a more fundamental physical principle. Consequently, the observed violation of Bell inequalities establishes the incompatibility of quantum mechanics with a restricted class of local hidden-variable theories, but does not uniquely determine the ontological structure of physical reality. The review distinguishes experimental validation from foundational derivation and emphasizes that alternative theoretical architectures based on globally coherent fields or emergent non-separable dynamics remain logically outside the scope of Bell's theorem. The manuscript is therefore assessed as an outstanding experimental milestone whose foundational conclusions remain structurally incomplete.
In the footsteps of the article by A. Aspect BELL'S THEOREM: the naive view of an experimentalist. As in equation (23) has detected an error (or typo), I took the trouble to verify calculations from 1 to 5 sections of the article. Are some clarifying points that are important for understanding the essence. Given an elementary conclusion of formulas (3), which is omitted in the article. The Bell's inequality, derived on the basis of the general model for a dichotomous variable, disturbed the quantum mechanical model for a pair of entangled photons. In Bell's article it is clearly (though not very detailed) shown. No artificial gadgets is not able to resolve this contradiction. The only thing that causes confusion is the procedure of creating a mixed state of two photons and the essence conceptual view of mathematics experiment. Theoretically, this procedure can be represented as a symmetrization of the wave function of the pair. However, how does the transfer of this idea to the technical essence of the experiment is unclear.