Abstract
In the last sentence of his last paper on the foundations of quantum theory, John Bell1 raised “The big question” as to whether the “precise picture” of reality, inherent in theories which give a dynamical description of statevector reduction, “can be redeveloped in a Lorentz invariant way.” I will begin by summarizing this “precise picture” of reality, with special focus on aspects of the relativistic structure of the theory. Then, within this structure, I will review a relativistic quantum field theory model.2 It has good statevector reduction behavior which, unfortunately, is accompanied by an infinite rate of energy production from the vacuum. I will then introduce a new model (only a few months old) in which this latter difficulty may be cured. Of course new problems arise, but they present some interesting and even intriguing features.
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References
J. S. Bell, in: “Sixty-Two Years of Uncertainty,” A. Miller, ed., Plenum, N. Y. (1990).
P. Pearle, in: “Sixty-Two Years of Uncertainty,” A. Miller, ed., Plenum, N. Y. (1990).
W. Shakespeare, “Hamlet,” Act I, Scene IV.
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N. Gisin, Helvetica Physica Acta 62: 363 (1989) independently obtained the general form of the nonlinear equation equivalent to the linear CSL equation. L. Diósi, Physics Letters A 132: 233 (1988) presented a special case, and V. P. Belavkin, Physics Letters A 40: 355 (1989) arrived at both the linear and nonlinear forms: however, unlike Gisin, these authors were not working in the context of dynamical statevector reduction but were instead modeling continuous nondemolition measurement situations.
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G. C. Ghirardi, and P. Pearle, to be published in: “Proceedings of the Philosophy of Science Association 1990, Volume 2,” A. Fine, M. Forbes, and L. Wessels, eds., PSA Association, Mich.
P. A. M. Dirac, “The Principles of Quantum Mechanics,” 4th Ed., Chapter 12, Clarendon, Oxford (1958); “Lectures on Quantum Field Theory,” Yeshiva, N. Y. (1966).
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© 1992 Springer Science+Business Media Dordrecht
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Pearle, P. (1992). Relativistic Model for Statevector Reduction. In: Cvitanović, P., Percival, I., Wirzba, A. (eds) Quantum Chaos — Quantum Measurement. NATO ASI Series, vol 358. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7979-7_24
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DOI: https://doi.org/10.1007/978-94-015-7979-7_24
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