Bell vs Bell: a ding-dong battle over quantum incompleteness

• URL: http://arxiv.org/abs/2406.19426v3
• Date: Wed, 06 Nov 2024 03:26:43 GMT
• Title: Bell vs Bell: a ding-dong battle over quantum incompleteness
• Authors: Michael J. W. Hall,
• Abstract summary: John Bell gave the first demonstration that quantum mechanics is incompatible with local hidden variables. This paper aims to bring clarity to the debate via simple examples and rigorous results.
• Score: 0.0
• License:
• Abstract: Does determinism (or even the incompleteness of quantum mechanics) follow from locality and perfect correlations? In a 1964 paper John Bell gave the first demonstration that quantum mechanics is incompatible with local hidden variables. Since then a vigorous debate has rung out over whether he relied on an assumption of determinism or instead, as he later claimed in a 1981 paper, derived determinism from assumptions of locality and perfect correlation. This paper aims to bring clarity to the debate via simple examples and rigorous results. It is first recalled, via quantum and classical counterexamples, that the weakest statistical form of locality consistent with Bell's 1964 paper (parameter independence) is insufficient for the derivation of determinism. Attention is then turned to critically assess Bell's appealing to the Einstein-Rosen-Podolsky (EPR) incompleteness argument to support his claim. It is shown this argument is itself incomplete, via counterexamples that expose two logical gaps. Closing these gaps via a strong "counterfactual" reality criterion enables a rigorous derivation of both determinism and parameter independence, and in this sense justifies Bell's claim. Conversely, however, it is noted that whereas the EPR argument requires a weaker "measurement choice" assumption than Bell's demonstration, it nevertheless leads to a similar incompatibility with quantum predictions rather than to quantum incompleteness.

Related papers

• Generalized Einstein-Podolsky-Rosen Steering Paradox [18.5699135339787]
  We present a generalized EPR steering paradox, which predicts a contradictory equality $2_Q=left( 1+deltaright)_C$. We test the paradox through a two-setting steering protocol, and find that the state is steerable if some specific measurement requirements are satisfied. Our construction also enlightens the building of EPR steering inequality, which may contribute to some schemes for typical quantum teleportation and quantum key distributions.
  arXiv  Detail & Related papers  (2024-05-06T01:25:11Z)
• Some consequences of Sica's approach to Bell's inequalities [55.2480439325792]
  Louis Sica derived Bell's inequalities from the hypothesis that the time series of outcomes observed in one station does not change if the setting in the other station is changed. In this paper, Sica's approach is extended to series with non ideal efficiency and to the actual time structure of experimental data.
  arXiv  Detail & Related papers  (2024-03-05T13:59:52Z)
• An Appropriate Probability Model for the Bell Experiment [0.0]
  The Bell inequality constrains the outcomes of measurements on pairs of distant entangled particles. The Bell contradiction states that the Bell inequality is inconsistent with the calculated outcomes of these quantum experiments. This paper proposes an appropriate probability model for the Bell experiment.
  arXiv  Detail & Related papers  (2023-02-10T11:08:23Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Explicit construction of Local Hidden Variables for any quantum theory up to any desired accuracy [0.0]
  The machinery of quantum mechanics is fully capable of describing a single realistic world. Bell's theorem is not applicable in the cases considered. The potential importance of our construction in model building is discussed.
  arXiv  Detail & Related papers  (2021-03-07T12:19:57Z)
• Does locality plus perfect correlation imply determinism? [0.0]
  A 1964 paper by John Bell gave the first demonstration that quantum mechanics is incompatible with local hidden variables. This paper aims to bring clarity to the debate via simple examples and rigorous results.
  arXiv  Detail & Related papers  (2020-09-29T18:00:12Z)
• Non-Boolean Hidden Variables model reproduces Quantum Mechanics' predictions for Bell's experiment [91.3755431537592]
  Theory aimed to violate Bell's inequalities must start by giving up Boolean logic. "Hard" problem is to predict the time values when single particles are detected. "Soft" problem is to explain the violation of Bell's inequalities within (non-Boolean) Local Realism.
  arXiv  Detail & Related papers  (2020-05-20T21:46:35Z)
• Quantum postulate vs. quantum nonlocality: Is Devil in h? [0.0]
  Bell's model with hidden variables is that it straightforwardly contradicts to the Heinsenberg's uncertainty and generally Bohr's complementarity principles. Bell's approach with hidden variable straightforwardly implies rejection of the quantum postulate.
  arXiv  Detail & Related papers  (2020-03-12T11:59:14Z)
• Indeterminism and Undecidability [0.0]
  Chaitin's follow-up to Goedel's (first) incompleteness theorem can be proved. The main point is that Bell and others did not exploit the full empirical content of quantum mechanics.
  arXiv  Detail & Related papers  (2020-03-07T11:06:23Z)
• Quantum Mechanical description of Bell's experiment assumes Locality [91.3755431537592]
  Bell's experiment description assumes the (Quantum Mechanics-language equivalent of the classical) condition of Locality. This result is complementary to a recently published one demonstrating that non-Locality is necessary to describe said experiment. It is concluded that, within the framework of Quantum Mechanics, there is absolutely no reason to believe in the existence of non-Local effects.
  arXiv  Detail & Related papers  (2020-02-27T15:04:08Z)
• Bell's theorem for trajectories [62.997667081978825]
  A trajectory is not an outcome of a quantum measurement, in the sense that there is no observable associated with it. We show how to overcome this problem by considering a special case of our generic inequality that can be experimentally tested point-by-point in time.
  arXiv  Detail & Related papers  (2020-01-03T01:40:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.