Abstract
This chapter discusses the result which has come to be known as ‘Bell’s Theorem’ but which Bell himself instead referred to as the ‘locality inequality theorem’.
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Notes
- 1.
Technical detail: actually, instead of using the output of the random number generator to physically rotate the polarization measuring device (which could never be done quickly enough), the output was fed into an electro-optic modulator which rotated (by one of two possible amounts) the polarization of the incoming photon.
- 2.
Most of the quotes in the following paragraph were collected by Jean Bricmont in Sect. 7.5 of Making Sense of Quantum Mechanics.
- 3.
Just to give you a sense of the spectrum of views which exist on this issue, the assumption – that \(\rho (\lambda )\) is independent of the settings \(\hat{n}_1\) and \(\hat{n}_2\) – has been called the “no conspiracies” assumption, with the implication that you’d have to be a crazy conspiracy theorist to take it seriously; on the other hand, the Nobel Prize winning particle physicist Gerard ’t Hooft, among others, thinks that relativity and quantum theory can and should be reconciled by denying that this assumption applies to the real experiments.
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See, for example, H. Wiseman, The two Bell’s theorems of John Bell. J. Phys. A Math. Theor. 47, 424001 (2014), and T. Norsen, Are there really two different Bell’s theorems? http://www.ijqf.org/archives/1646
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Norsen, T. (2017). Bell’s Theorem. In: Foundations of Quantum Mechanics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-65867-4_8
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