Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Discrete Dynamics in Nature and Society

Toy quantum mechanics using hidden variables

Pavel Vyacheslavovich Kurakin, George G. Malinetskii

Published Jan 1, 2004• 3 citations
Publisher

Abstract

An original model of toy quantum mechanics that uses hidden variables but does not violate the well‐known Bell theorem is proposed.
DOI
10.1155/s1026022604211013

Related papers

Cellular automaton «Toy quantum mechanics»

Pavel Vyacheslavovich Kurakin, Georgij Malinetskii

An original model оf toy quantum mechanics is proposed that uses hidden variables but does not violate well-known Bell theorem.

Izvestiya VUZ Applied Nonlinear Dynamics•May 30, 2003•0 citations

Local Hidden Variable Theory of Quantum Mechanics that is not Disproved by Bell’s Theorem

Henok Tadesse

In this paper the mystery of local hidden variable theory of quantum mechanics that is not disproved by Bell’s theorem is proposed. These ‘hidden variables’ are fundamentally inaccessible to physical experiments. It is not something physicists ever dreamed of.

•Jan 20, 2023•0 citations

The Empty Scope of Bell's Theorem

Horace P. Yuen

Bell inequality is violated in quantum mechanics and in experiments. Bell's theorem, on the other hand, concludes that quantum physics or nature is hence nonlocal. Bell's derivation of such a theorem comes in two versions, BT1 in which he started with determinism assumption in his 1964 original paper, and BT2 in his 1976 paper where he started with a "local causality" condition (LC). In this paper we show that (LC) does not follow from the physical concept of local causality except in the determinism limit. A local hidden variable model for the singlet pair is given that yields the correct quantum predictions for pair correlations. We also show determinism flagrantly violates quantum predictions. Thus Bell's theorem has no scope of applicability on possible hidden variable theory for quantum mechanics.

•Jan 1, 2019•0 citations

Toy quantum mechanics with hidden variables

Pavel Vyacheslavovich Kurakin, Георгий Геннадьевич Малинецкий

•Jan 1, 2002•0 citations

Spin-path entanglement in single-neutron interferometer experiments

Yuji Hasegawa, Daniel Erdősi, Dipankar Home +2 more

There are two powerful arguments against the possibility of extending quantum mechanics (QM) into a more fundamental theory yielding a deterministic description of nature. One is the experimental violation of Bell inequalities, which discards local hidden‐variable theories as a possible extension to QM. The other is the Kochen‐Specker (KS) theorem, which stresses the incompatibility of QM with a larger class of hidden‐variable theories, known as noncontextual hidden‐variable theories. We performed experiments with neutron interferometer, which exploits spin‐path entanglements in single neutrons. A Bell‐like state is generated to demonstrate a violation of the Bell‐like inequality and phenomena in accordance with KS theorem: both experiments study quantum contextuality and show clear evidence of the incompatibility of noncontextual hidden variable theories with QM. The value S = 2.202±0.007≰2 is obtained in the new measurement of the Bell‐like inequality, which shows a larger violation than the previous measurement. For the study of KS theorem, the obtained violation 2.291±0.008≰1 clearly shows that quantum mechanical predictions cannot be reproduced by noncontextual hidden variable theories.

AIP conference proceedings•Jan 1, 2011•1 citation

How To Make Quantum Mechanics Look Like A Hidden-Variable Theory and Vice Versa

Marlan O. Scully

NATO ASI series. Series B : Physics•Jan 1, 1986•0 citations
Bell inequality is violated in quantum mechanics and in experiments. Bell's theorem, on the other hand, concludes that quantum physics or nature is hence nonlocal. Bell's derivation of such a theorem comes in two versions, BT1 in which he started with determinism assumption in his 1964 original paper, and BT2 in his 1976 paper where he started with a "local causality" condition (LC). In this paper we show that (LC) does not follow from the physical concept of local causality except in the determinism limit. A local hidden variable model for the singlet pair is given that yields the correct quantum predictions for pair correlations. We also show determinism flagrantly violates quantum predictions. Thus Bell's theorem has no scope of applicability on possible hidden variable theory for quantum mechanics.
There are two powerful arguments against the possibility of extending quantum mechanics (QM) into a more fundamental theory yielding a deterministic description of nature. One is the experimental violation of Bell inequalities, which discards local hidden‐variable theories as a possible extension to QM. The other is the Kochen‐Specker (KS) theorem, which stresses the incompatibility of QM with a larger class of hidden‐variable theories, known as noncontextual hidden‐variable theories. We performed experiments with neutron interferometer, which exploits spin‐path entanglements in single neutrons. A Bell‐like state is generated to demonstrate a violation of the Bell‐like inequality and phenomena in accordance with KS theorem: both experiments study quantum contextuality and show clear evidence of the incompatibility of noncontextual hidden variable theories with QM. The value S = 2.202±0.007≰2 is obtained in the new measurement of the Bell‐like inequality, which shows a larger violation than the previous measurement. For the study of KS theorem, the obtained violation 2.291±0.008≰1 clearly shows that quantum mechanical predictions cannot be reproduced by noncontextual hidden variable theories.