Explicit construction of Local Hidden Variables for any quantum theory
up to any desired accuracy
- URL: http://arxiv.org/abs/2103.04335v3
- Date: Fri, 12 Nov 2021 14:22:03 GMT
- Title: Explicit construction of Local Hidden Variables for any quantum theory
up to any desired accuracy
- Authors: Gerard t Hooft
- Abstract summary: 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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The machinery of quantum mechanics is fully capable of describing a single
realistic world. Here we discuss the converse: in spite of appearances, and
indeed numerous claims to the contrary, any quantum mechanical model can be
mimicked, up to any finite accuracy, by a completely classical system of
equations. An implication of this observation is that Bell's theorem is not
applicable in the cases considered. This is explained by scrutinising Bell's
assumptions concerning causality, retrocausality, statistical (in-)dependence,
and his fear of `conspiracy' (there is no conspiracy in the language used to
describe the deterministic models). The most crucial mechanism for the counter
intuitive Bell/CHSH violation is the fact that, regardless the settings chosen
by Alice and Bob, the initial state of the system should be a realistic one.
The potential importance of our construction in model building is discussed.
Related papers
- 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) - Kupczynski's Contextual Locally Causal Probabilistic Models are
constrained by Bell's theorem [0.0]
Kupczynski has argued that Bell's theorem can be circumvented if one takes correct account of contextual setting-dependent parameters describing measuring instruments.
We show that this is not true. Even if one takes account of contextuality in the way he suggests, the Bell-CHSH inequality can still be derived.
arXiv Detail & Related papers (2022-08-21T17:44:30Z) - Discretised Hilbert Space and Superdeterminism [0.0]
In computational physics it is standard to approximate continuum systems with discretised representations.
We consider a specific discretisation of the continuum complex Hilbert space of quantum mechanics.
arXiv Detail & Related papers (2022-04-07T18:00:07Z) - Quantum realism: axiomatization and quantification [77.34726150561087]
We build an axiomatization for quantum realism -- a notion of realism compatible with quantum theory.
We explicitly construct some classes of entropic quantifiers that are shown to satisfy almost all of the proposed axioms.
arXiv Detail & Related papers (2021-10-10T18:08:42Z) - About the description of physical reality of Bell's experiment [91.3755431537592]
A hidden variables model complying with the simplest form of Local Realism was recently introduced.
It reproduces Quantum Mechanics' predictions for an even ideally perfect Bell's experiment.
A new type of quantum computer does not exist yet, not even in theory.
arXiv Detail & Related papers (2021-09-06T15:55:13Z) - Contextual inferences, nonlocality, and the incompleteness of quantum
mechanics [0.0]
We show that quantum mechanics violates predictive completeness, allowing to make contextual inferences.
We give here a set of new arguments to show that $psi$ should be completed indeed, not by looking for any "hidden variables"
arXiv Detail & Related papers (2020-12-17T16:54:54Z) - 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) - Arithmetic loophole in Bell's theorem: An overlooked threat to
entangled-state quantum cryptography [0.0]
Bell's theorem is supposed to exclude all local hidden-variable models of quantum correlations.
An explicit counterexample shows that a new class of local realistic models can reconstruct rotationally symmetric quantum probabilities.
arXiv Detail & Related papers (2020-04-06T16:48:41Z) - 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.