EPR-Bell is proof that we live in a quaternionic 3-sphere
Posted: Mon Oct 17, 2016 7:15 pm
***
Hi Everyone,
I have revised my local causality paper, adding some discussion about how the sign flips from AB = -1 to AB = +1 in the EPR-Bohm type experiments are induced by the twist in the U(1) bundle over S^2 constituting the 3-sphere. To me the strong correlations we observe in Nature are a proof that we live in a quaternionic 3-sphere.
Below I have reproduced the new paragraphs in the revised paper for your convenience. As some of you know, I have also proposed a macroscopic experiment to test the hypothesis that we live in a quaternionic 3-sphere rather than a flat Euclidean 3-space. I have also reproduced an essential page from a Report by Eguchi, Gilkey, and Hanson, which discusses the U(1) bundle over S^2 I have used in my revised paper. Needless to say, this is all pretty well known stuff, for those who know it well.
The following discussion is from page 272 of T. Eguchi, P. B. Gilkey, and A. J. Hanson, Physics Reports, volume 66, No. 6, pp 213-393 (1980).
***
Hi Everyone,
I have revised my local causality paper, adding some discussion about how the sign flips from AB = -1 to AB = +1 in the EPR-Bohm type experiments are induced by the twist in the U(1) bundle over S^2 constituting the 3-sphere. To me the strong correlations we observe in Nature are a proof that we live in a quaternionic 3-sphere.
Below I have reproduced the new paragraphs in the revised paper for your convenience. As some of you know, I have also proposed a macroscopic experiment to test the hypothesis that we live in a quaternionic 3-sphere rather than a flat Euclidean 3-space. I have also reproduced an essential page from a Report by Eguchi, Gilkey, and Hanson, which discusses the U(1) bundle over S^2 I have used in my revised paper. Needless to say, this is all pretty well known stuff, for those who know it well.
The following discussion is from page 272 of T. Eguchi, P. B. Gilkey, and A. J. Hanson, Physics Reports, volume 66, No. 6, pp 213-393 (1980).
***