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.
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REFERENCES
Y. Aharonov and J. Anandan, Phys. Lett. A 160(6), 493–497 (1991). J. Anandan, Phys. Lett. A 164(5, 6), 369-373 (1992).
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).
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.
J. Anandan, Found. Phys. 10, 601–629 (1980).
J. Anandan, Found. Phys. 21, 1265–1284 (1991).
J. Anandan, Found. Phys. Lett. 6(6), 503–532 (1993).
J. Anandan, Gen. Rel. Grav. 26, 125–133 (1994).
J. Anandan, Phys. Rev. D 53, 779–786 (1996).
J. Anandan, in preparation (1998).
J. Anandan and H. R. Brown, Found. Phys. 25, 349–360 (1995).
D. Bohm, Phys. Rev. 85, 166–193 (1952).
H. Brown, C. Dewdney, and G. Horton, Found. Phys. 25, 329 (1995).
S. Chakravarty and A. J. Leggett, Phys. Rev. Lett. 52, 5 (1984).
L. Diosi, Phys. Lett. A 120, 377–381 (1987).
L. Diosi, Phys. Rev. A 40, 1165–1174 (1989).
H. Everett, Rev. Mod. Phys. 29, 454–462 (1957).
G. C. Ghiradi, A. Rimini, and T. Weber, Phys. Rev. D 34, 470–491 (1986).
C. G. Ghiradi, R. Grassi, and A. Rimini, Phys. Rev. D 42, 1057–1064 (1990).
R. P. Holland, The Quantum Theory of Motion (Cambridge University Press, Cambridge, 1993), p. 79.
F. Karolyhazy, Nuovo Cimento A 42, 390 (1966).
B. Kayser and L. Stodolsky, Phys. Lett. B 359, 343–350 (1995).
A. J. Leggett, Prog. Theor. Phys. Suppl. 69, 80–100 (1980).
A. J. Leggett and A. Garg, Phys. Rev. Lett. 54, 857–860 (1985).
C. W. Misner, K. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Eq. (18.5).
P. Pearle, in Quantum Concepts in Space and Time, R. Penrose and C. J. Isham, eds. (Clarendon, Oxford, 1986), pp. 84–108.
P. Pearle, Phys. Rev. A 39, 2277–2289. (1989).
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.
R. Penrose, in Quantum Concepts in Space and Time, R. Penrose and C. J. Isham, eds. (Clarendon Press, Oxford, 1986), pp. 129–146.
R. Penrose, 's New Mind (Oxford University Press, Oxford, 1989).
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.
R. Penrose Gen. Rel. Grav. 28, 581–600 (1996).
E. Wigner, Am. J. Phys. 31, 6 (1963).
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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
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DOI: https://doi.org/10.1023/A:1018810714118