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Get Rid of Nonlocality from Quantum Physics.

Andrei Khrennikov1

  • 1International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, SE-351 95 Växjö, Sweden.

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|December 3, 2020
PubMed
Summary

Quantum theory is local. Bell tests reveal incompatibility of observables, not nonlocality, challenging interpretations linking these violations to "quantum nonlocality." The Bohr complementarity principle explains these phenomena.

Keywords:
Bell operatorBell type inequalityHertz-Boltzmann Bild methodologyLandau identityaction at a distancecomplementarity principleincompatibilitynonlocalityprequantum classical statistical field theorysquared Bell operator

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Area of Science:

  • Quantum mechanics
  • Foundations of physics
  • Quantum information theory

Background:

  • Bell's theorem and Bell tests are often interpreted as evidence for quantum nonlocality.
  • The relationship between quantum theory, locality, and experimental violations of Bell inequalities is a subject of ongoing debate.

Purpose of the Study:

  • To dissociate the concept of nonlocality from conventional quantum theory.
  • To reframe Bell tests as statistical assessments of local incompatibility of observables.

Main Methods:

  • Analysis of Bell-type inequalities as statistical tests.
  • Interpretation of experimental violations within the framework of quantum mechanics.

Main Results:

  • Demonstration that Bell inequality violations are statistical tests of local incompatibility.
  • Identification of these violations as tests of the Bohr complementarity principle.
  • Explanation of violations within quantum theory as incompatibility of observables for single quantum systems.

Conclusions:

  • Experimental violations of Bell inequalities do not demonstrate quantum nonlocality.
  • Conventional quantum theory is fundamentally local.
  • Misleading interpretations arise from conflating statistical incompatibility with nonlocality.