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In this thread, I want to discuss what in my view is the true difference between "classical" and "quantum" correlations and why "stronger-than-quantum" correlations are never observed in Nature. I have worked on this question for the past eleven years, starting with a short paper in 2007 and culminating in this latest: http://rsos.royalsocietypublishing.org/ ... 5/5/180526.

In my view, the difference between "classical" and "quantum" correlations has nothing much to do with how these words are traditionally understood in physics, especially in the literature inspired by Bell's so-called "theorem." Both "classical" and "quantum" correlations are simply correlations. But there is, of course, a difference between the two: "quantum" correlations are both stronger and more disciplined than "classical" correlations. Where does this difference originate from? We should be able to address this question without being prejudiced by the usual meanings of the words "classical" and "quantum." One might call this investigation a kind of "meta-investigation" into the question. I have carried out this "meta-investigation" in the paper I have linked above. It vindicates my initial hunch going back to my first paper on the subject in 2007. The difference arises from the difference between the first two and the last two of the only four possible normed division algebras, namely the real, the complex, the quaternionic and the octonionic division algebras, and their associated topological spheres S^0, S^1, S^3 and S^7. The first two of these algebras happen to be commutative, and the last two happen to be non-commutative. And that makes all the difference. How does this difference manifest itself in the correlations we observe in Nature? Well, that has to do with the algebraic, geometrical and topological properties of the 3D physical space in which we are confined to carry out all of our experiments. It turns out that these properties are deeply connected to the two non-commutative algebras. Further details can be found in my latest paper on the subject linked above.

Joy Christian

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