scholarly journals Quantum postulate vs. quantum nonlocality: on the role of the Planck constant in Bell’s argument

2021 ◽  
Vol 51 (1) ◽  
Author(s):  
Andrei Khrennikov
Keyword(s):  
Quantum Nonlocality ◽  
Quantum Mechanical ◽  
Quantum Foundations ◽  
Planck Constant ◽  
Variable Model ◽  
Basic Principles ◽  
Fundamental Feature ◽  
Hidden Variable ◽  
Bell Model

AbstractWe present a quantum mechanical (QM) analysis of Bell’s approach to quantum foundations based on his hidden-variable model. We claim and try to justify that the Bell model contradicts to the Heinsenberg’s uncertainty and Bohr’s complementarity principles. The aim of this note is to point to the physical seed of the aforementioned principles. This is the Bohr’s quantum postulate: the existence of indivisible quantum of action given by the Planck constant h. By contradicting these basic principles of QM, Bell’s model implies rejection of this postulate as well. Thus, this hidden-variable model contradicts not only the QM-formalism, but also the fundamental feature of the quantum world discovered by Planck.

scholarly journals Bell Model with Hidden Variables and Bohr Quantum Postulate on the Existence of Indivisible Quantum of Action Given by Planck Constant H.

2020 ◽  
Author(s):  
Andrei Khrennikov
Keyword(s):  
Quantum Mechanics ◽  
Hidden Variables ◽  
Quantum Nonlocality ◽  
Quantum Mechanical ◽  
Planck Constant ◽  
Basic Principles ◽  
Fundamental Feature ◽  
Projection Postulate ◽  
Bell Model

This note is a part of my efforts for getting rid of nonlocality from quantum mechanics (QM). Quantum nonlocality is two faced Janus, one face is apparent quantum mechanical nonlocality (assigned with projection postulate), another face is nonlocality of Bell's model with the hidden variables. This paper is directed against the latter. The main casualty of Bell's model is that it contradicts to the Heinsenberg's uncertainty and Bohr's complementarity principles. The aim of this note is to point to the physical seed of the aforementioned principles. This is the {\it quantum postulate}: the existence of indivisible quantum of action given by the Planck constant. Bell's model by contradicting to the basic principles of QM implies rejection of this postulate. Thus, it contradicts not only to the QM-formalism, but also to the fundamental feature of the quantum world that was initially discovered by Planck.

scholarly journals Several foundational and information theoretic implications of Bell’s theorem

2016 ◽  
Vol 14 (06) ◽  
pp. 1640027 ◽  
Author(s):  
Guruprasad Kar ◽  
Manik Banik
Keyword(s):  
Thought Experiment ◽  
Albert Einstein ◽  
Physical Reality ◽  
Quantum Nonlocality ◽  
Fundamental Theory ◽  
Variable Theory ◽  
Information Theoretic ◽  
Hidden Variable ◽  
Realistic Theory

In 1935, Albert Einstein and two colleagues, Boris Podolsky and Nathan Rosen (EPR) developed a thought experiment to demonstrate what they felt was a lack of completeness in quantum mechanics (QM). EPR also postulated the existence of more fundamental theory where physical reality of any system would be completely described by the variables/states of that fundamental theory. This variable is commonly called hidden variable and the theory is called hidden variable theory (HVT). In 1964, John Bell proposed an empirically verifiable criterion to test for the existence of these HVTs. He derived an inequality, which must be satisfied by any theory that fulfill the conditions of locality and reality. He also showed that QM, as it violates this inequality, is incompatible with any local-realistic theory. Later it has been shown that Bell’s inequality (BI) can be derived from different set of assumptions and it also find applications in useful information theoretic protocols. In this review, we will discuss various foundational as well as information theoretic implications of BI. We will also discuss about some restricted nonlocal feature of quantum nonlocality and elaborate the role of Uncertainty principle and Complementarity principle in explaining this feature.

scholarly journals Is the Devil in h?

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 632
Author(s):  
Andrei Khrennikov
Keyword(s):  
Quantum Mechanics ◽  
Bell Inequality ◽  
Hidden Variables ◽  
Quantum Nonlocality ◽  
Quantum Mechanical ◽  
Planck Constant ◽  
Einstein Podolsky Rosen ◽  
Epr Argument ◽  
Projection Postulate ◽  
The Devil

This note is a part of my effort to rid quantum mechanics (QM) nonlocality. Quantum nonlocality is a two faced Janus: one face is a genuine quantum mechanical nonlocality (defined by the Lüders’ projection postulate). Another face is the nonlocality of the hidden variables model that was invented by Bell. This paper is devoted the deconstruction of the latter. The main casualty of Bell’s model is that it straightforwardly contradicts Heisenberg’s uncertainty and Bohr’s complementarity principles generally. Thus, we do not criticize the derivation or interpretation of the Bell inequality (as was done by numerous authors). Our critique is directed against the model as such. The original Einstein-Podolsky-Rosen (EPR) argument assumed the Heisenberg’s principle without questioning its validity. Hence, the arguments of EPR and Bell differ crucially, and it is necessary to establish the physical ground of the aforementioned principles. This is the quantum postulate: the existence of an indivisible quantum of action given by the Planck constant. Bell’s approach with hidden variables implicitly implies rejection of the quantum postulate, since the latter is the basis of the reference principles.

scholarly journals AN INTERPLAY BETWEEN NONLOCALITY AND QUANTUM VIOLATION OF PATH–SPIN NONCONTEXTUALITY

2011 ◽  
Vol 09 (05) ◽  
pp. 1279-1289
Author(s):  
DIPANKAR HOME ◽  
ALOK KUMAR PAN
Keyword(s):  
Mechanical Treatment ◽  
Quantum Mechanical ◽  
Variable Model ◽  
Hidden Variable ◽  
Quantum Mechanical Treatment

In terms of a suitable variant of the EPR–Bohm example, we argue that the quantum mechanically predicted and experimentally verified violation of a Bell-type path–spin noncontextual realist inequality for an "intraparticle" path–spin entanglement involving single neutrons can be used to infer a form of nonlocality, distinct from Bell-type nonlocality, that is required for any relevant hidden variable model to be compatible with the quantum mechanical treatment of an EPR–Bohm-type "interparticle" entanglement.

scholarly journals Hidden Variable Model for Universal Quantum Computation with Magic States on Qubits

2020 ◽  
Vol 125 (26) ◽  
Author(s):  
Michael Zurel ◽  
Cihan Okay ◽  
Robert Raussendorf
Keyword(s):  
Quantum Computation ◽  
Variable Model ◽  
Hidden Variable ◽  
Universal Quantum

EXECUTIVE FUNCTIONS AND VOLUNTARY ACTIVITY (GENERAL PSYCHOLOGICAL AND NEUROPSYCHOLOGICAL APPROACH): OVERVIEW OF MODERN VIEWS

2021 ◽  
Author(s):  
Елена Владимировна Ординарцева ◽  
Алексей Анатольевич Сергиенко
Keyword(s):  
Executive Functions ◽  
Voluntary Activity ◽  
Basic Principles

В статье рассматриваются современные представления о произвольной деятельности и «исполнительных» функциях. Анализируются основные положения теории деятельности, подходы к изучению произвольной деятельности, а также понятие и роль «исполнительных» функций. Дается нейропсихологический анализ формирования исполни-тельных функций в онтогенезе. The article discusses modern ideas about voluntary activity and “executive” functions. The basic principles of the theory of activity, approaches to the study of voluntary activity, as well as the concept and role of “executive” functions are analyzed. A neuropsychological analysis of the executive functions’ formation in ontogenesis is given.

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