Skip to main content
Log in

The Quantum Measurement Problem and the Possible Role of the Gravitational Field

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

The quantum measurement problem and various unsuccessful attempts to resolve it are reviewed. A suggestion by Diosi and Penrose for the half-life of the quantum superposition of two Newtonian gravitational fields is generalized to an arbitrary quantum superposition of relativistic, but weak, gravitational fields. The nature of the “collapse” process of the wave function is examined.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Y. Aharonov and J. Anandan, Phys. Lett. A 160(6), 493–497 (1991). J. Anandan, Phys. Lett. A 164(5, 6), 369-373 (1992).

    Google Scholar 

  2. Y. Aharonov, J. Anandan, and L. Vaidman, Phys. Rev. A 47(6), 4616–4626 (1993). Y. Aharonov and L. Vaidman, Phys. Lett. A 178, 38-42 (1993).

    Google Scholar 

  3. J. Anandan, in Quantum Theory and Gravitation, Proceedings of the New Orleans Conference, May 1979, A. R. Marlow, ed. (Academic Press, New York, 1980), pp. 157–176.

    Google Scholar 

  4. J. Anandan, Found. Phys. 10, 601–629 (1980).

    Google Scholar 

  5. J. Anandan, Found. Phys. 21, 1265–1284 (1991).

    Google Scholar 

  6. J. Anandan, Found. Phys. Lett. 6(6), 503–532 (1993).

    Google Scholar 

  7. J. Anandan, Gen. Rel. Grav. 26, 125–133 (1994).

    Google Scholar 

  8. J. Anandan, Phys. Rev. D 53, 779–786 (1996).

    Google Scholar 

  9. J. Anandan, in preparation (1998).

  10. J. Anandan and H. R. Brown, Found. Phys. 25, 349–360 (1995).

    Google Scholar 

  11. D. Bohm, Phys. Rev. 85, 166–193 (1952).

    Google Scholar 

  12. H. Brown, C. Dewdney, and G. Horton, Found. Phys. 25, 329 (1995).

    Google Scholar 

  13. S. Chakravarty and A. J. Leggett, Phys. Rev. Lett. 52, 5 (1984).

    Google Scholar 

  14. L. Diosi, Phys. Lett. A 120, 377–381 (1987).

    Google Scholar 

  15. L. Diosi, Phys. Rev. A 40, 1165–1174 (1989).

    Google Scholar 

  16. H. Everett, Rev. Mod. Phys. 29, 454–462 (1957).

    Google Scholar 

  17. G. C. Ghiradi, A. Rimini, and T. Weber, Phys. Rev. D 34, 470–491 (1986).

    Google Scholar 

  18. C. G. Ghiradi, R. Grassi, and A. Rimini, Phys. Rev. D 42, 1057–1064 (1990).

    Google Scholar 

  19. R. P. Holland, The Quantum Theory of Motion (Cambridge University Press, Cambridge, 1993), p. 79.

    Google Scholar 

  20. F. Karolyhazy, Nuovo Cimento A 42, 390 (1966).

    Google Scholar 

  21. B. Kayser and L. Stodolsky, Phys. Lett. B 359, 343–350 (1995).

    Google Scholar 

  22. A. J. Leggett, Prog. Theor. Phys. Suppl. 69, 80–100 (1980).

    Google Scholar 

  23. A. J. Leggett and A. Garg, Phys. Rev. Lett. 54, 857–860 (1985).

    Google Scholar 

  24. C. W. Misner, K. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Eq. (18.5).

    Google Scholar 

  25. P. Pearle, in Quantum Concepts in Space and Time, R. Penrose and C. J. Isham, eds. (Clarendon, Oxford, 1986), pp. 84–108.

    Google Scholar 

  26. P. Pearle, Phys. Rev. A 39, 2277–2289. (1989).

    Google Scholar 

  27. R. Penrose, in Quantum Gravity 2: A Second Oxford Symposium, C. J. Isham, R. Penrose, and D. W. Sciama, eds. (Oxford University Press, Oxford, 1981), pp. 244–272.

    Google Scholar 

  28. R. Penrose, in Quantum Concepts in Space and Time, R. Penrose and C. J. Isham, eds. (Clarendon Press, Oxford, 1986), pp. 129–146.

    Google Scholar 

  29. R. Penrose, 's New Mind (Oxford University Press, Oxford, 1989).

    Google Scholar 

  30. R. Penrose in General Relativity and Gravitation 1992: Part 1 (Plenary Lectures), R. J. Gleiser, C. Kozameh, and O. M. Moreschi, eds. (The Institute of Physics, Bristol, 1993), pp. 179–189.

    Google Scholar 

  31. R. Penrose Gen. Rel. Grav. 28, 581–600 (1996).

    Google Scholar 

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

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anandan, J. The Quantum Measurement Problem and the Possible Role of the Gravitational Field. Foundations of Physics 29, 333–348 (1999). https://doi.org/10.1023/A:1018810714118

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018810714118

Keywords

Navigation