theorems:bells_theorem
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theorems:bells_theorem [2018/02/23 15:56] jakobadmin [Layman] |
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 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 | ||
| | | ||
| - | <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://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]]. | ||
| + | * 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) | ||
| + | |||
| + | <tabbox Why is it interesting?> | ||
| - | <note tip> | + | <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> |
| - | The motto in this section is: //the higher the level of abstraction, the better//. | + | |
| - | </note> | + | |
| + | <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 Examples> | + | <tabbox History> |
| - | --> Example1# | + | * [[http://iopscience.iop.org/article/10.1088/2058-7058/11/12/24/pdf|John Bell and the most profound discovery of science]] by Andrew Whitaker |
| - | + | <tabbox Criticism> | |
| - | <-- | + | |
| - | --> Example2:# | + | * [[https://www.project-tartarus.com/2017/05/bells-theorem-is-wrong/|Bell’s theorem is wrong]] at Project Tartarus |
| - | |||
| - | <-- | ||
| - | <tabbox FAQ> | ||
| - | | ||
| - | <tabbox History> | ||
| - | * [[http://iopscience.iop.org/article/10.1088/2058-7058/11/12/24/pdf|John Bell and the most profound discovery of science]] by Andrew Whitaker | + | ---- |
| + | |||
| + | **Jaynes vs. Bell ** | ||
| + | <blockquote>"The measurement at A at time t does not change the real physical situation at B; but it changes our state of knowledge about that situation, and therefore it changes the predictions we are able to make about B at some time t 0 . Since this is a matter of logic rather than physical causation, there is no action at a distance and no di culty with relativity [also, it does not matter whether t 0 is before, equal to, or after t".<cite>[[http://bayes.wustl.edu/etj/articles/cmystery.pdf|Clearing up the Mysteries]], by Jaynes</cite></blockquote> | ||
| + | |||
| + | A critical discussion of Jayne's point of view can be found [[http://r6.ca/blog/20150827T020314Z.html|here]]. | ||
| </tabbox> | </tabbox> | ||
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