EPR Paradox,Locality and Completeness of Quantum Theory

Abstract

The quantum theory (QT) and new stochastic approaches have no deterministic prediction for a single measurement or for a single time -series of events observed for a trapped ion, electron or any other individual physical system. The predictions of QT being of probabilistic character apply to the statistical distribution of the results obtained in various experiments. The probability distribution is not an attribute of a dice but it is a characteristic of a whole random experiment : '' rolling a dice''. and statistical long range correlations between two random variables X and Y are not a proof of any causal relation between these variable. Moreover any probabilistic model used to describe a random experiment is consistent only with a specific protocol telling how the random experiment has to be performed.In this sense the quantum theory is a statistical and contextual theory of phenomena. In this paper we discuss these important topics in some detail. Besides we discuss in historical perspective various prerequisites used in the proofs of Bell and CHSH inequalities concluding that the violation of these inequalities in spin polarization correlation experiments is neither a proof of the completeness of QT nor of its nonlocality. The question whether QT is predictably complete is still open and it should be answered by a careful and unconventional analysis of the experimental data. It is sufficient to analyze more in detail the existing experimental data by using various non-parametric purity tests and other specific statistical tools invented to study the fine structure of the time-series. The correct understanding of statistical and contextual character of QT has far reaching consequences for the quantum information and quantum computing.

16 pages, 59 references,the contribution to the conference QTRF-4 held in Vaxjo, Sweden, 11-16 june 2007. To be published in the Proceedings

References in corpus (7)

• Hidden Variables and the Two Theorems of John Bell
• Is the Fair Sampling Assumption supported by EPR Experiments?
• Brownian Entanglement
• The quantum measurement process in an exactly solvable model
• On the Completeness of Quantum Mechanics
• Contextual Observables and Quantum Information
• Local models and EPR quantum correlations

Cited by in corpus (15)

• CHSH inequality: Quantum probabilities as classical conditional probabilities
• Is the Moon there if nobody looks: Bell Inequalities and Physical Reality
• Two faced Janus of quantum nonlocality
• Bell Inequalities, Experimental Protocols and Contextuality
• Can we close the Bohr-Einstein quantum debate?
• EPR Paradox, Quantum Nonlocality and Physical Reality
• Contextuality-by-Default description of Bell tests: Contextuality as the rule not as an exception
• Is Einsteinian no-signalling violated in Bell Tests?
• Contextuality or nonlocality; what would John Bell choose today?
• Is the quantum theory predictably complete?
• Quantum Mechanics and modelling of physical reality
• Time Series, Stochastic Processes and Completeness of Quantum Theory
• My discussions of quantum foundations with John Stewart Bell
• Statistical Contextual Explanation of Quantum Paradoxes
• Comments on New Ontology of Quantum Mechanics called CSM