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Quantum mechanics in an entirely deterministic universe

Abstract

It is argued that, according to the suggested interpretation of quantum mechanical probabilities, (1) the Bell inequalities are not equivalent with those inequalities derived by Pitowsky and others that indicate the Kolmogorovity of a probability model, (2) the original Bell inequalities are irrelevant to both the question of whether or not quantum mechanics is a Kolmogorovian theory as well as the problem of determinism, whereas (3) the Pitowsky-type inequalities are not violated by quantum mechanics, hence (4) quantum mechanics is a Kolmogorovian probability theory, therefore, (5) it is compatible with an entirely deterministic universe.

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On leave from the Institute for Theoretical Physics, Eötvös University, Budapest, Hungary.

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Szabó, L.E. Quantum mechanics in an entirely deterministic universe. Int J Theor Phys 34, 1751–1766 (1995). https://doi.org/10.1007/BF00676289

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Keywords

  • Field Theory
  • Elementary Particle
  • Quantum Field Theory
  • Quantum Mechanic
  • Probability Theory