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The insolubility proof of the quantum measurement problem

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Abstract

Modern insolubility proofs of the measurement problem in quantum mechanics not only differ in their complexity and degree of generality, but also reveal a lack of agreement concerning the fundamental question of what constitutes such a proof. A systematic reworking of the (incomplete) 1970 Fine theorem is presented, which is intended to go some way toward clarifying the issue.

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References

  1. F. Belinfante,Measurement and Time Reversal in Objective Quantum Theory (Pergamon, New York, 1975).

    Google Scholar 

  2. F. Belinfante,Int. J. Quant. Chem. 17, 1 (1980).

    Google Scholar 

  3. T. Sherry, and E. Sudarshan,Phys. Rev. D 18, 4580 (1978).

    Google Scholar 

  4. N. Cartwright,How the Laws of Physics Lie (Oxford University Press, Oxford, 1983).

    Google Scholar 

  5. T. Sherry and E. Sudarshan,Phys. Rev. D 20, 857 (1979).

    Google Scholar 

  6. K. Wan,Can. J. Phys. 58, 976 (1980).

    Google Scholar 

  7. S. Machida and M. Namiki,Prog. Theor. Phys. 63, 1457 (1980).

    Google Scholar 

  8. H. Araki,Prog. Theor. Phys. 65, 719 (1980).

    Google Scholar 

  9. H. Brown,Cad. Hist. Fil. Ciên. (Brazil)8 (1986).

  10. B. d'Espagnat,Nuovo Cimento Suppl. 4, 828 (1966).

    Google Scholar 

  11. M. Fehrs and A. Shimony,Phys. Rev. D 9, 2317 (1974).

    Google Scholar 

  12. A. Shimony,Phys. Rev. D 9, 2321 (1974).

    Google Scholar 

  13. H. Putnam, inBeyond the Edge of Certainty, R. Colodny, ed. (Prentice Hall, Englewood Cliffs, 1965), p. 75.

    Google Scholar 

  14. A. Fine,Br. J. Philos. Sci. 24, 1 (1973).

    Google Scholar 

  15. W. Furry, inBoulder Lectures in Theoretical Physics, Vol. 8-A (1965) (University of Colorado Press, Boulder, 1966).

    Google Scholar 

  16. J. Park and W. Band,Found. Phys. 6, 157 (1976).

    Google Scholar 

  17. E. Schrödinger,Proc. Cambridge Philos. Soc. 32, 446 (1936).

    Google Scholar 

  18. E. Beltrametti and G. Cassinella, inCurrent Issues in Quantum Logic, E. Beltrametti and B. van Fraassen, eds. (Plenum Press, New York, 1981), p. 455.

    Google Scholar 

  19. J. Park,Int. J. Theor. Phys. 8, 211 (1973).

    Google Scholar 

  20. A. Fine,Proc. Cambridge Philos. Soc. 65, 111 (1969).

    Google Scholar 

  21. H. Spohn,Int. J. Theor. Phys. 15, 365 (1976).

    Google Scholar 

  22. M. Renninger,Z. Phys. 158, 417 (1960).

    Google Scholar 

  23. J. von Neumann,Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955).

    Google Scholar 

  24. E. Wigner,Am. J. Phys. 31, 6 (1963).

    Google Scholar 

  25. E. Wigner,Symmetries and Reflections (Indiana University Press, Bloomington and London, 1967).

    Google Scholar 

  26. J. Wheeler and W. Zurek, eds.,Quantum Theory and Measurement, (Princeton University Press, Princeton, 1983).

    Google Scholar 

  27. J. Earman and A. Shimony,Nuovo Cimento B 54 (1968).

  28. H. Stein and A. Shimony, inFoundations of Quantum Mechanics, Proceedings of the Enrico Fermi International Summer School, Course IL, B. d'Espagnat, ed. (Academic Press, New York, 1971), p. 56.

    Google Scholar 

  29. B. van Fraassen, inParadigms and Paradoxes, R. Colodny, ed. (University of Pittsburgh Press, Pittsburgh, 1972), p. 303.

    Google Scholar 

  30. B. d'Espagnat,Conceptual Foundations of Quantum Mechanics, (W. A. Benjamin, Reading, Massachusetts, 1976).

    Google Scholar 

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Brown, H.R. The insolubility proof of the quantum measurement problem. Found Phys 16, 857–870 (1986). https://doi.org/10.1007/BF00765334

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  • DOI: https://doi.org/10.1007/BF00765334

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