✎ Bell's Theorem [The Physics Travel Guide]

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====== Bell's Theorem ======

* 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]]
  * 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 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
  * 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 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?>

<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>
  
<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

* [[https://www.project-tartarus.com/2017/05/bells-theorem-is-wrong/|Bell’s theorem is wrong]] at Project Tartarus

----

**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>

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