Bell's theorem: why probability factorisation fails
- URL: http://arxiv.org/abs/2605.29589v1
- Date: Thu, 28 May 2026 08:33:35 GMT
- Title: Bell's theorem: why probability factorisation fails
- Abstract summary: We consider a sequential, single-spin experiment whose auto-correlations match the two-spin entangled correlations of a Bell scenario.<n>We argue that Bell-type correlations are actually just a different implementation of the sequential experiment.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The empirical proof of Bell inequality violations was a landmark moment for research into quantum foundations. It commits us to a universe without strict relativistic locality or requires that we escape through a potential loophole like many-worlds or superdeterminism. In this work, we consider a sequential, single-spin experiment whose auto-correlations match the two-spin entangled correlations of a Bell scenario. We use a counterfactual equivalence between the two to argue that Bell-type correlations are actually just a different implementation of the sequential experiment. This comports well with the counterfactual basis of the original EPR argument, and explains any apparent non-locality as a consequence of indirectly measuring quantities that do not have predefined values, due to the state-altering nature of sequential spin measurements.
Related papers
- Quantum nonlocality: no, yes, how and why [51.85131234265026]
L.Sica has demonstrated that, in order to violate Bell's inequalities, the series recorded at (say) Bob can be different from the series recorded at Bob if that setting had been alfa'instead.<n>It cannot be experimentally verified because of its counterfactual nature, but is observed in computer simulations.<n>An appropriate computer code is based on the simple model mentioned plus a contextual instruction.
arXiv Detail & Related papers (2026-03-09T22:34:33Z) - Time evolution of randomness in Bell's experiment indicates 'Realism' is false [41.94295877935867]
We measure time evolution of Minimum Entropy and (estimated) Kolmogorov's Complexity of binary time series during short pulses.<n>We compare evolution between the cases with stations placed close and separated 24m in straight line.<n>This provides a clue about which one of the hypotheses necessary for the derivation and observation of Bell's inequalities is false.
arXiv Detail & Related papers (2025-04-04T20:39:15Z) - Time series and the meaning of quantum non-locality [55.2480439325792]
The derivation of Bell's inequalities gives precise meaning to the idea of quantum non-locality.
It also makes evident why using it for faster than light signaling is impossible.
It is demonstrated that series of outcomes, even if they violate Bell's inequalities, can be always embedded in a set of factual and counter-factual data.
arXiv Detail & Related papers (2024-10-21T14:49:47Z) - Bell vs Bell: a ding-dong battle over quantum incompleteness [0.0]
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 (2024-06-27T11:11:28Z) - 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) - Bell Non-Locality in Many Body Quantum Systems with Exponential Decay of
Correlations [0.0]
This paper uses Bell-inequalities as a tool to explore non-classical physical behaviours.
We show that a large family of quantum many-body systems behave almost locally, violating Bell-inequalities (if so) only by a non-significant amount.
arXiv Detail & Related papers (2020-06-09T22:41:44Z) - Reformulating Bell's Theorem: The Search for a Truly Local Quantum
Theory [0.0]
Bell's "no-go" theorem rests on three axioms, local causality, no superdeterminism, and one world.
We show that by assuming local causality and no superdeterminism, we can give a direct proof of many worlds.
We identify a local many worlds interpretation that replaces the wave function with a separable Lorentz-invariant wave-field.
arXiv Detail & Related papers (2020-03-06T19:05:37Z) - Using Randomness to decide among Locality, Realism and Ergodicity [91.3755431537592]
An experiment is proposed to find out, or at least to get an indication about, which one is false.
The results of such experiment would be important not only to the foundations of Quantum Mechanics.
arXiv Detail & Related papers (2020-01-06T19:26:32Z) - 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) - A strong no-go theorem on the Wigner's friend paradox [0.0]
We prove that if quantum evolution is controllable on the scale of an observer, then one of 'No-Superdeterminism', 'Locality' or 'Absoluteness of Observed Events' must be false.
We show that although the violation of Bell-type inequalities in such scenarios is not in general sufficient to demonstrate the contradiction between those three assumptions, new inequalities can be derived in a theory-independent manner.
arXiv Detail & Related papers (2019-07-12T08:09:44Z)
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.