Kolmogorovian Censorship, Predictive Incompleteness, and the locality loophole in Bell experiments

Fuente: arXiv
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Main Author: Grangier, Philippe
Format: Preprint
Published: 2024
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author Grangier, Philippe
author_facet Grangier, Philippe
contents We revisit the status of quantum probabilities in light of Kolmogorovian Censorship (KC) and the Contexts, Systems and Modalities (CSM) framework, and we compare KC-based frameworks with alternatives such as superdeterminism, supermeasurements, and predictive incompleteness. After briefly recalling the technical content of KC and its scope, we show that KC correctly identifies that probabilities are classical within a fixed measurement context but does not by itself remove the conceptual tension that motivates nonlocal or conspiratorial explanations of Bell-inequality violations. We argue that predictive incompleteness - the view that the quantum state is operationally incomplete until the measurement context is specified - provides a simple, minimal, and explanatory framework that preserves relativistic locality while matching experimental practice. Finally we clarify logical relations among these positions, highlight the assumptions behind them, and justify the move from Kolmogorov's to Gleason's framework for quantum probabilities.
format Preprint
id arxiv_https___arxiv_org_abs_2405_03184
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Kolmogorovian Censorship, Predictive Incompleteness, and the locality loophole in Bell experiments
Grangier, Philippe
Quantum Physics
History and Philosophy of Physics
We revisit the status of quantum probabilities in light of Kolmogorovian Censorship (KC) and the Contexts, Systems and Modalities (CSM) framework, and we compare KC-based frameworks with alternatives such as superdeterminism, supermeasurements, and predictive incompleteness. After briefly recalling the technical content of KC and its scope, we show that KC correctly identifies that probabilities are classical within a fixed measurement context but does not by itself remove the conceptual tension that motivates nonlocal or conspiratorial explanations of Bell-inequality violations. We argue that predictive incompleteness - the view that the quantum state is operationally incomplete until the measurement context is specified - provides a simple, minimal, and explanatory framework that preserves relativistic locality while matching experimental practice. Finally we clarify logical relations among these positions, highlight the assumptions behind them, and justify the move from Kolmogorov's to Gleason's framework for quantum probabilities.
title Kolmogorovian Censorship, Predictive Incompleteness, and the locality loophole in Bell experiments
topic Quantum Physics
History and Philosophy of Physics
url https://arxiv.org/abs/2405.03184