Abstract
Recently, Ghirardi, Rimini, Weber, and Pearle have proposed a stochastic modification of the Schrödinger equation which dynamically suppresses coherent superpositions of macroscopically distinguishable states and so avoids the infamous cat paradox. We show that the modified dynamics reduces the state vector completely only in the limit of infinite time, and therefore, for any finite timet, no objective local property can be meaningfully assigned to measurement outcomes. Since a physical mechanism giving rise to stochastic spontaneous localizations of the state vector is lacking, we argue that the model (however heuristically interesting) turns out to bead hoc. Finally, we discuss consequences of this latter feature in association with the elusiveness of the two new ‘constants of nature’ appearing in the model.
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Bell, J. S. (1989). Towards an exact quantum mechanics, inThemes in Contemporary Physics II, Essays in Honour of Julian Schwinger's 70th Birthday, S. Deser and R. J. Finkelstein, eds., World Scientific, Singapore, pp. 1–26.
Bell, J. S. (1990). Against measurement, inSixty-Two Years of Uncertainty: Historical, Philosophical and Physical Inquiries into the Foundations of Quantum Physics, A. Miller, ed., Plenum Press, New York, pp. 17–31.
Benatti, F., Ghirardi, G. C., Rimini, A., and Weber, T. (1988).Nuovo Cimento B,101, 333–355.
Dirac, P. A. M. (1947).The Principles of Quantum Mechanics, Oxford University Press, Oxford.
Diosi, L. (1992). Quantum measurement and gravity for each other, inQuantum Chaos—Quantum Measurement, P. Cvitanovic, I. Percival, and A. Wirzba, eds., Kluwer, Dordrecht, pp. 299–304.
Gallis, M. R., and Fleming, G. N. (1990).Physical Review A,42, 38–48.
Ghirardi, G. C., and Rimini, A. (1990). Old and new ideas in the theory of quantum measurement, inSixty-Two Years of Uncertainty: Historical, Philosophical and Physical Inquiries into the Foundations of Quantum Physics, A. Miller, ed., Plenum Press, New York, pp. 167–191.
Ghirardi, G. C., Rimini, A., and Weber, T. (1986).Physical Review D,34, 470–491.
Ghirardi, G. C., Pearle, P., and Rimini, A. (1990).Physical Review A,42, 72–89.
Joos, E., and Zeh, H. D. (1985).Zeitschrift für Physik B,59, 223–243.
Karakostas, V., and Dickson, M. (1995). Decoherence in unorthodox formulations of quantum mechanics,Synthese, to appear.
Nicrosini, O., and Rimini, A. (1990).Foundations of Physics,20, 1317–1328.
Pearle, P. (1976).Physical Review D,13, 857–868.
Pearle, P. (1989).Physical Review A,39, 2277–2289.
Pearle, P. (1993). Ways to describe dynamical state vector reduction, Preprint, Hamilton College.
Primas, H. (1990). Induced nonlinear time evolution of open quantum objects, inSixty-Two Years of Uncertainty: Historical, Philosophical and Physical Inquiries into the Foundations of Quantum Physics, A. Miller, ed., Plenum Press, New York.
Rae, A. I. M. (1990).Journal of Physics A,23, L57-L60.
Zeilinger, A. (1986). Testing quantum superposition with cold neutrons, inQuantum Concepts in Space and Time, R. Penrose and C. J. Isham, eds., Clarendon Press, Oxford, pp. 16–27.
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Karakostas, V. Limitations on stochastic localization models of state vector reduction. Int J Theor Phys 33, 1645–1659 (1994). https://doi.org/10.1007/BF00672689
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DOI: https://doi.org/10.1007/BF00672689