Foundations of Physics

, Volume 20, Issue 10, pp 1173–1189 | Cite as

Probabilities for correlated systems

  • A. Garuccio
  • V. L. Lepore
  • F. Selleri
Part I. Invited Papers Dedicated To John Stewart Bell


Probabilistic local realism for two correlated systems as formulated by Clauser and Horne in 1974 is shown to be necessarily based on a perfect specification of the state and on an individual definition of probability. All known realistic formulations of probability calculus are instead defined in terms of relative frequencies, and perfect specifications of states are impossible. We reformulate probabilistic local realism by using the relative frequency definition only and show that the Einstein, Podolsky, and Rosen paradox still obtains.


Rosen Relative Frequency Correlate System Realistic Formulation Local Realism 
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  1. 1.
    J. F. Clauser and M. A. Horne,Phys. Rev. D 10, 526 (1974).Google Scholar
  2. 2.
    H. Reichenbach,The Theory of Probability (University of California Press, Berkeley, 1949); R. von Mises,Mathematical Theory of Probability and Statistics (Academic Press, New York, 1964).Google Scholar
  3. 3.
    B. van Fraassen,The Scientific Image (Clarendon Press, Oxford, 1980); T. L. Fine,Theories of Probability. An Examination of Foundations (Academic, New York, 1973).Google Scholar
  4. 4.
    P. Suppes and M. Zanotti, inLogic and Probability in Quantum Mechanics (Reidel, Dordrecht 1976), p. 405.Google Scholar
  5. 5.
    F. Selleri and G. Tarozzi,Lett. Nuovo Cimento 29, 533 (1980).Google Scholar
  6. 6.
    A. Garuccio and V. Rapisarda,Lett. Nuovo Cimento 30, 433 (1981).Google Scholar
  7. 7.
    F. Selleri, inMicrophysical Reality and Quantum Formalism, A. van der Merwe, F. Selleri, and G. Tarozzi, eds. (Kluwer, Dordrecht 1988).Google Scholar
  8. 8.
    E. P. Wigner,Am. J. Phys. 38, 1005 (1970).Google Scholar
  9. 9.
    F. Selleri, “Even local probabilities lead to the paradox,” inQuantum Mechanics versus Local Realism: The Einstein, Podolsky, and Rosen Paradox, F. Selleri, ed. (Plenum, New York, 1988).Google Scholar
  10. 10.
    V. L. Lepore,Found. Phys. Lett. 2, 15 (1989).Google Scholar
  11. 11.
    D. E. Liddy,J. Phys. A 16, 2703 (1983).Google Scholar
  12. 12.
    A. Garuccio, “All the inequalities of Einstein locality,” inQuantum Mechanics versus Local Realism: The Einstein, Podolsky, and Rosen Paradox, F. Selleri, ed. (Plenum, New York, 1988).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • A. Garuccio
    • 1
    • 2
  • V. L. Lepore
    • 1
  • F. Selleri
    • 1
    • 2
  1. 1.Dipartimento di FisicaUniversità di BariBariItaly
  2. 2.Instituto Nazionale di Fisica Nucleare, Sezione di BariBariItaly

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