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theorems:bells_theorem [2018/02/23 16:03] jakobadmin [Student] |
theorems:bells_theorem [2019/02/03 09:25] (current) 77.180.211.234 [Concrete] |
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====== Bell's Theorem ====== | ====== Bell's Theorem ====== | ||
- | <tabbox Why is it interesting?> | ||
- | <blockquote>Bell’s theorem is the most profound discovery of science. <cite>Henry P. Stapp, "Bell's Theorem and World Process", Nuovo Cimento, Vol. 29B, No. 2, p. 270 (1975).</cite></blockquote> | + | <tabbox Intuitive> |
- | + | ||
- | <blockquote>Bell's theorem says that reality must be non-local. | + | |
- | <cite>Nick Herbert Quantum Reality - Beyond The New Physics Chapter 12, Bell's Interconnectedness Theorem, p. 212</cite></blockquote> | + | |
- | <tabbox Layman> | ||
+ | * A particularly nice interactive explanation can be found [[http://freelanceastro.com/bell|here]], and also [[http://www.pbs.org/wgbh/nova/next/physics/quantum-gambling-and-the-nature-of-reality/|here]]. | ||
* The best explanation for Bell's theorem in layman terms, can be found in [[https://www.scientificamerican.com/media/pdf/197911_0158.pdf|The Quantum Theory and Reality by d'Espagnat]] | * The best explanation for Bell's theorem in layman terms, can be found in [[https://www.scientificamerican.com/media/pdf/197911_0158.pdf|The Quantum Theory and Reality by d'Espagnat]] | ||
* Another nice explanation can be found in [[https://www.reddit.com/r/askscience/comments/jvgun/can_someone_explain_how_exactly_bells_theorem/|this reddit comment]]. | * Another nice explanation can be found in [[https://www.reddit.com/r/askscience/comments/jvgun/can_someone_explain_how_exactly_bells_theorem/|this reddit comment]]. | ||
+ | * Another creative explanation in laymen terms can be found in [[http://research.physics.illinois.edu/QI/Photonics/papers/My%20Collection.Data/PDF/The%20Mystery%20of%20the%20Quantum%20Cakes.pdf|The mystery of the quantum cakes]] by P. G. Kwiat and L. Hardy | ||
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- | <tabbox Student> | + | <tabbox Concrete> |
* [[http://aapt.scitation.org/doi/pdf/10.1119/1.4823600|A simple proof of Bell's inequality]] by Lorenzo Maccone | * [[http://aapt.scitation.org/doi/pdf/10.1119/1.4823600|A simple proof of Bell's inequality]] by Lorenzo Maccone | ||
+ | * http://mateusaraujo.info/2016/07/15/understanding-bells-theorem-part-1-the-simple-version/ | ||
* [[http://drchinese.com/David/Bell_Theorem_Easy_Math.htm|Bell's Theorem with Easy Math]] by David R. Schneider | * [[http://drchinese.com/David/Bell_Theorem_Easy_Math.htm|Bell's Theorem with Easy Math]] by David R. Schneider | ||
* See also David Mermin's paper, "Bringing home the atomic world: Quantum mysteries for anybody" Am. J. Phys. 49:940-943(10), Oct. 1981, [[http://www.cs.nott.ac.uk/~txa/g5xnsc/mermin.pdf|free PDF]]. | * See also David Mermin's paper, "Bringing home the atomic world: Quantum mysteries for anybody" Am. J. Phys. 49:940-943(10), Oct. 1981, [[http://www.cs.nott.ac.uk/~txa/g5xnsc/mermin.pdf|free PDF]]. | ||
* Daniel M. Greenberger, Michael A. Horne, Abner Shimony, Anton Zeilinger "Bell's theorem without inequalities", American Journal of Physics Vol. 58 (12), December 1990 | * Daniel M. Greenberger, Michael A. Horne, Abner Shimony, Anton Zeilinger "Bell's theorem without inequalities", American Journal of Physics Vol. 58 (12), December 1990 | ||
+ | * For another nice discussion, see [[http://sophia.dtp.fmph.uniba.sk/~cerny/lectures/EPRparadox.pdf|What could not be in Feynman lectures: Bell inequalities]] by V. Cerny | ||
- | <tabbox Researcher> | + | <tabbox Abstract> |
+ | * A nice overview is given in this [[https://www.nature.com/news/physics-bell-s-theorem-still-reverberates-1.15435|Nature article]]. | ||
* A modern reformulation of Bell's theorem is [[https://www.nature.com/articles/ncomms1416|No extension of quantum theory can have improved predictive power]] by Roger Colbeck & Renato Renner (Nature) | * A modern reformulation of Bell's theorem is [[https://www.nature.com/articles/ncomms1416|No extension of quantum theory can have improved predictive power]] by Roger Colbeck & Renato Renner (Nature) | ||
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- | <tabbox Examples> | + | <tabbox Why is it interesting?> |
- | --> Example1# | + | <blockquote>Bell’s theorem is the most profound discovery of science. <cite>Henry P. Stapp, "Bell's Theorem and World Process", Nuovo Cimento, Vol. 29B, No. 2, p. 270 (1975).</cite></blockquote> |
- | + | <blockquote>Bell's theorem says that reality must be non-local. | |
- | <-- | + | <cite>Nick Herbert Quantum Reality - Beyond The New Physics Chapter 12, Bell's Interconnectedness Theorem, p. 212</cite></blockquote> |
- | + | ||
- | --> Example2:# | + | |
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- | <-- | + | |
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- | <tabbox FAQ> | + | |
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<tabbox History> | <tabbox History> | ||
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<tabbox Criticism> | <tabbox Criticism> | ||
+ | * [[https://www.project-tartarus.com/2017/05/bells-theorem-is-wrong/|Bell’s theorem is wrong]] at Project Tartarus | ||
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+ | ---- | ||
**Jaynes vs. Bell ** | **Jaynes vs. Bell ** |