I wish to mention a recent preprint of mine---this one---which is about the prevalent (but false) belief in "quantum non-locality." I am, in fact, required to post this link here, because this preprint is part of my forthcoming book on Bell's Theorem and Quantum Entanglement, which is kindly supported by FQXi through a generous mini-grant.
Let me begin by mentioning that Michael Atiyah---that wise old sage of mathematical physics---gave a provocative seminar last November, at IAS, Princeton, with the following thesis: There are four fundamental forces of nature, and there are four division rings over the reals (connected with the parallelizability of four classical spheres): the real numbers, the complex numbers, the quaternions, and the octonions. Therefore---according to Atiyah---one should expect all four of these division algebras to play a role in the ultimate theory of physics, allowing octonions, in particular, to account for gravitation. As one would expect from someone like Atiyah, this was not an idle speculation. He described some specific steps in this direction, substantiated his ideas, and made some deep connections. Now you may wonder what this has to do with quantum non-locality. Well, rather astonishingly, the division algebras have popped up in my own work on Bell's theorem quite unexpectedly. When I started out my critique of Bell's theorem some four years ago, the division algebras were the last thing on my mind. I was simply trying to clean up the argument by John Bell, which I thought was far too sloppy---at least topologically---to lead to any radical conclusions about the nature of physical reality. But this cleanup operation has led me to uncover a profound connection between quantum correlations and the division algebras. The preprint linked above (and also this one) brings out this connection in a somewhat technical language. My main conclusion---after some four years of battle against the conventional wisdom---is that "quantum non-locality" is nothing but a make-belief of the topologically naive.