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Watch the 2nd video on 3Blue1Brown here: https://www.youtube.com/watch?v=MzRCDLre1b4
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This video is about Bell's Theorem, one of the most fascinating results in 20th century physics. Even though Albert Einstein (together with collaborators in the EPR Paradox paper) wanted to show that quantum mechanics must be incomplete because it was nonlocal (he didn't like "spooky action at a distance"), John Bell managed to prove that any local real hidden variable theory would have to satisfy certain simple statistical properties that quantum mechanical experiments (and the theory that describes them) violate. Since then, GHZ and others have managed to extend the theoretical work, and Alain Aspect performed the first Bell test experiment in the late 1980s.
Thanks to Vince Rubinetti for the music: https://soundcloud.com/vincerubinetti/one-two-zeta
And thanks to Evan Miyazono, Aatish Bhatia, and Jasper Palfree for discussions and camaraderie during some of the inception of this video.
REFERENCES:
John Bell's Original Paper: http://inspirehep.net/record/31657/files/vol1p195-200_001.pdf
Quantum Theory and Reality: https://www.scientificamerican.com/media/pdf/197911_0158.pdf
"What Bell Did" By Tim Maudlin: https://arxiv.org/pdf/1408.1826
Bell's Theorem on Wikipedia: https://en.wikipedia.org/wiki/Bell%27s_theorem
2015 experimental confirmation that QM violates Bell's theorem: https://arxiv.org/pdf/1508.05949.pdf
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.250402
Bell's Theorem without Inequalities (GHZ): http://dx.doi.org/10.1119/1.16243
Kochen-Specker Theorem: https://en.wikipedia.org/wiki/Kochen–Specker_theorem
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