====== 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 * [[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 * 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)
Bell’s theorem is the most profound discovery of science. Henry P. Stapp, "Bell's Theorem and World Process", Nuovo Cimento, Vol. 29B, No. 2, p. 270 (1975).
Bell's theorem says that reality must be non-local. Nick Herbert Quantum Reality - Beyond The New Physics Chapter 12, Bell's Interconnectedness Theorem, p. 212
* [[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 **
"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".[[http://bayes.wustl.edu/etj/articles/cmystery.pdf|Clearing up the Mysteries]], by Jaynes
A critical discussion of Jayne's point of view can be found [[http://r6.ca/blog/20150827T020314Z.html|here]].