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9 - Strengthening Bell's Theorem: Removing the Hidden-Variable Assumption

from Part III - Nonlocality: Illusion or Reality?

Published online by Cambridge University Press:  05 September 2016

Henry P. Stapp
Affiliation:
University of California
Shan Gao
Affiliation:
Chinese Academy of Sciences, Beijing
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Summary

Spooky Action at a Distance

In the context of correlation experiments involving pairs of experiments performed at very nearly the same time in very far-apart experimental regions, Einstein famously said [1],

But on one supposition we should in my opinion hold absolutely fast: “The real factual situation of the system S2 is independent of what is done with system S1 which is spatially separated from the former.”

This demand is incompatible with the basic ideas of standard (Copenhagen/orthodox) quantum mechanics, which makes two relevant claims:

  1. (1) Experimenters in the two labs make “local free choices” that determine which experiments will be performed in their respective labs. These choices are free in the sense of not being predetermined by the prior history of the physically described aspects of the universe, and they are localized in the sense that the physical effects of these free choices are inserted into the physically described aspects of the universe only within the laboratory in which the associated experiment is being performed.

  2. (2) These choices of what is done with the system being measured in one lab can (because of a measurement-induced global collapse of the quantum state) influence the outcome of the experiment performed at very close to the same time in the very faraway lab.

This influence of what is done with the system being measured in one region upon the outcome appearing at very nearly the same time in a very faraway lab was called “spooky action at a distance” by Einstein, and was rejected by him as a possible feature of “reality.”

John Bell's Quasi-classical Statistical Theory

Responding to the seeming existence in the quantum world of “spooky actions,” John Bell [2] proposed a possible alternative to the standard approach that might conceivably be able to reconcile quantum spookiness with “reality.” This alternative approach rests on the fact that quantum mechanics is a statistical theory.We already have in physics a statistical theory called “classical statistical mechanics.”

Type
Chapter
Information
Quantum Nonlocality and Reality
50 Years of Bell's Theorem
, pp. 151 - 159
Publisher: Cambridge University Press
Print publication year: 2016

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References

[1] Einstein, A., in P.A., Schilpp (ed.), Albert Einstein: Philosopher-Scientist (Tudor, New York, 1949), p. 85.
[2] Bell, J.S., Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1987), pp. 1, 15.

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