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20 - John Bell's Varying Interpretations of Quantum Mechanics: Memories and Comments

from Part IV - Nonlocal Realistic Theories

Published online by Cambridge University Press:  05 September 2016

H. Dieter Zeh
Affiliation:
Heidelberg University
Shan Gao
Affiliation:
Chinese Academy of Sciences, Beijing
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Summary

Abstract

Various interpretations of quantum mechanics, favored (or neglected) by John Bell in the context of his nonlocality theorem, are compared and discussed.

Varenna 1970

I met John Bell for the first time at the Varenna conference of 1970 [1]. I had been invited on the suggestion of Eugene P. Wigner, who had already helped me to publish my first paper on the concept that was later called decoherence – to appear in the first issue of Foundations of Physics a few months after the conference [2]. This concept arose from my conviction, based on many applications of quantum mechanics to composite systems under various conditions, that Schrödinger's wave function in configuration space, or more generally the superposition principle, is universally valid and applicable. In particular, stable narrow wavepackets can represent classical configurations, while their superpositions define novel individual properties – such as “momentum,” defined as a plane wave superposition of different positions. Superpositions of macroscopically different properties, on the other hand, are regularly irreversibly “dislocalized” (distributed over many degrees of freedom) by means of interactions described by the Schrödinger equation. The corresponding disappearance of certain local superpositions (“decoherence”) seems to explain the phenomenon of a classical world as well as the apparent occurrence of quantum jumps or stochastic “events” – see Sect. 20.4 or [3] for a historical overview of the conceptual development of quantum theory. So I had never felt any motivation to think of “hidden variables” or any other physics behind the successful wave function.

Therefore, I was very surprised on my arrival in Varenna to hear everybody discuss Bell's inequality. It had been published a few years before the conference, but I had either not noticed it or not regarded it as particularly remarkable until then. As this inequality demonstrates that the predictions of quantum theory would require any conceivable reality possibly underlying the nonlocal wave function to be nonlocal itself, I simply found my conviction that the latter describes individual reality confirmed. For example, I had often discussed the conservation of total spin or angular momentum in an individual decay process, which requires nonlocal entanglement between the fragments at any distance in a form that was later called a “Bell state”.

Type
Chapter
Information
Quantum Nonlocality and Reality
50 Years of Bell's Theorem
, pp. 331 - 343
Publisher: Cambridge University Press
Print publication year: 2016

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References

[1] d'Espagnat, B. (1971), Proceedings of the International School of Physics “Enrico Fermi,” Course IL, New York: Academic Press.
[2] Zeh, H.D. (1970). On the interpretation of measurement in quantum theory. Found. Phys. 1, 69.Google Scholar
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[5] Zeh, H.D. (2011), Feynman's interpretation of quantum theory, Eur. Phys. J. H36, 147.Google Scholar
[6] Bohm, D. (1952), A suggested interpretation of the quantum theory in terms of “hidden” variables, Phys. Rev. 85, 166.Google Scholar
[7] Zeh, H.D. (1999), Why Bohm's quantum theory? Found. Phys. Lett. 12, 197.Google Scholar
[8] Ghirardi, G.C., Rimini, A., and Weber, T. (1986), Unified dynamics for microscopic and macroscopic systems, Phys. Rev. D 34, 470.Google Scholar
[9] von Neumann, J. (1932), Mathematische Grundlagen der Quantenmechanik, Berlin: Springer.
[10] Joos, E. (1987). Comment on “Unified dynamics for microscopic and macroscopic systems,” Phys. Rev. D 36, 3285.Google Scholar
[11] Arndt, M., and Hornberger, K. (2014), Testing the limits of quantum mechanical superpositions, Nature Physics 10, 271.Google Scholar
[12] Bell, J.S. (1990), Against measurement, Physics World, August, 33.
[13] Zeh, H.D. (2007), The Physical Basis of the Direction of Time, Heidelberg: Springer.
[14] Zurek, W.H. (1981), Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse? Phys. Rev. D 24, 1516.Google Scholar
[15] Camilleri, K. (2009), A history of entanglement: Decoherence and the interpretation problem, Studies in the History and Philosophy of Modern Physics 40, 290.Google Scholar

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