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An Analysis of Stapp’s “A Bell-Type Theorem without Hidden Variables”

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H.P. Stapp has proposed a number of demonstrations of a Bell-type theorem which dispensed with an assumption of hidden variables, but relied only upon locality together with an assumption that experimenters can choose freely which of several incompatible observables to measure. In recent papers his strategy has centered upon counterfactual conditionals. Stapp’s paper in American Journal of Physics, 2004, replies to objections raised against earlier expositions of this strategy and proposes a simplified demonstration. The new demonstration is criticized, several subtleties in the logic of counterfactuals are pointed out, and the proofs of J.S. Bell and his followers are advocated.

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References

  1. Stapp H.P. (2004). “A Bell-type theorem without hidden variables”. Am. J. Phys. 71:30–33

    Article  ADS  MathSciNet  Google Scholar 

  2. Stapp H.P. (1975). “Bell’s theorem and world process”. Nuovo Cimento 29:270–276

    Article  Google Scholar 

  3. Stapp H.P. (1977). “Theory of reality”. Found. Phys. 7:313–323

    Article  ADS  Google Scholar 

  4. Stapp H.P. (1979). “Whiteheadian approach to quantum theory and the generalized Bell’s Theorem”. Found. Phys. 9:1–25

    Article  ADS  MathSciNet  Google Scholar 

  5. Stapp H.P. (1994). “Strong versions of Bell’s theorem”. Phys. Rev. A, 49:3182–3187

    Article  ADS  MathSciNet  Google Scholar 

  6. Stapp H.P. (1997). “Nonlocal character of quantum theory”. Am. J. Phys. 65:300–304

    Article  ADS  MathSciNet  Google Scholar 

  7. Stapp H.P. (1998). “Meaning of counterfactual statements in quantum physics”. Am. J. Phys. 66:924–926

    Article  ADS  MathSciNet  Google Scholar 

  8. Stapp H.P. (2001). “Response to Comment on ‘Nonlocal character of quantum theory’ by Abner Shimony and Howard Stein”. Am. J. Phys. 69:854–859

    Article  ADS  MathSciNet  Google Scholar 

  9. Clauser J.F. and Shimony A. (1978). “Bell’s theorem: Experimental tests and implications”. Rep. Pro. Phy. 41:1881–1927

    Article  ADS  Google Scholar 

  10. Clifton R.K., Butterfield J.N., and Redhead M.L.G. (1990). “Nonlocal influences and possible worlds – a Stapp in the wrong direction”. Br. J. Phil. Sci. 41:5–58

    Article  MathSciNet  Google Scholar 

  11. Clifton R.K and Dickson M. (1994). “Stapp’s algebraic argument for Nonlocality”. Phys. Rev. A 49:4251–4260

    Article  PubMed  ADS  Google Scholar 

  12. Mermin N.D. (1998). “Nonlocal character of quantum theory”. Am. J. Phys. 66:920–924

    Article  ADS  MathSciNet  Google Scholar 

  13. Unruh W. (1999). “Nonlocality, counterfactuals, and quantum mechanics”. Phys. Rev. A 59:126–130

    Article  ADS  MathSciNet  Google Scholar 

  14. Shimony A. and Stein H. (2001). “Comment on ‘Nonlocal character of quantum theory’ by Henry P. Stapp”. Am. J. Phys. 69:848–853

    Article  ADS  MathSciNet  Google Scholar 

  15. A. Shimony and H. Stein, “On quantum non-locality, special relativity, and counterfactual reasoning,” in Space-Time, Quantum Entanglement and Critical Epistemology: Essays In Honor of John Stachel. A. Ashtekar, R. S. Cohen, D. Howard, S. Sarkar, and A. Shimony, eds. (Kluwer, Dordrecht, 2001).

  16. Bell J.S. (1964). “On the Einstein-Podolsky-Rosen Paradox”. Physics 1:195–200

    Google Scholar 

  17. Bell J.S. (2004). Speakable and Unspeakable in Quantum Mechanics, 2nd ed. Cambridge University Press, Cambridge UK

    Google Scholar 

  18. Clauser J.F., Horne M.A., Shimony A. and Holt R.A. (1969). “Proposed experiment to test local hidden variable theories”. Phys. Rev. Lett. 23:880–884

    Article  ADS  Google Scholar 

  19. Hardy L. (1992). “Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories”. Phys. Rev. Lett. 68:2981–2984

    Article  PubMed  MATH  ADS  MathSciNet  Google Scholar 

  20. Eberhard P.H. and Rosselet R. (1995). “Bell’s theorem based on a generalized EPR criterion of reality”. Found. Phys. 25:91–111

    Article  ADS  MathSciNet  Google Scholar 

  21. Feller W. (1950). An Introduction to Probability Theory and its Applications. John Wiley and Sons, New York, pp. 172–173

    MATH  Google Scholar 

  22. Popper K. (1957). “The propensity interpretation of the calculus of probability, and the quantum theory”. In: Körner S. (eds)Observation and Interpretation. Butterworths Scientific Publications, London UK, pp. 65–70

    Google Scholar 

  23. G. Frege, “Über Sinn und Bedeutung,” Zeitschrift für Philosophie und philosophische Kritik (1892).

  24. Lewis D. (1973). Counterfactuals. Harvard University Press, Cambridge, MA

    Google Scholar 

  25. Weihs W., Jennewein T., Simon C., Weinfurter H. and Zeilinger A. (1998). “Violation of Bell’s inequality under strict Einstein locality condition”. Phys. Rev. Lett. 81:5039–5043

    Article  MATH  ADS  MathSciNet  Google Scholar 

  26. Einstein A., Podolsky B. and Rosen N. (1935). “Can quantum mechanical description of physical reality be considered complete?”. Phys. Rev. 47:770–780

    Article  ADS  Google Scholar 

  27. Shimony A. (1993). “Physical and philosophical issues in the Bohr-Einstein debate”. In: Shimony A. (eds) Search for a Naturalistic World View, vol 2. Cambridge University Press, Cambridge UK, pp. 187

    Google Scholar 

  28. d’Espagnat B. (1984). “Nonseparability and the tentative descriptions of reality”. Phys. Rep. 119:203

    MathSciNet  Google Scholar 

  29. A. Shimony, “The logic of EPR,” Annales de la Fondation Louis de Broglie 26, numéro spécial 3/3, 399–410 (2001).

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  1. Departments of Philosophy and Physics, Boston University, Boston, MA, USA

    Abner Shimony

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  1. Abner Shimony
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Correspondence to Abner Shimony.

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Dedicated to the memory of my dear friend Asher Peres.

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Shimony, A. An Analysis of Stapp’s “A Bell-Type Theorem without Hidden Variables”. Found Phys 36, 61–72 (2006). https://doi.org/10.1007/s10701-005-9002-3

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