OCTONIONS, THE THREE FLAVOURS OF MATTER AND A NEW KIND OF SUPER-SYMMETRY Page No: 5261-5268

Christopher C. O’Neill

Keywords: Quaternions, octonions, sedenions, pentonions, trionions, standard model, elementary particles, supersymmetry.

Abstract: It has been long theorized that there is some relationship between Octonions and the Standard Model. This paper reveals that there is just such a relationship and that it can solve many of the questions surrounding the Standard Model. These include: the seeming disorder of the particles and their masses; why there are three flavors of matter; and why some bosons are massless and some aren’t. The solution comes from the precise ordering of the elementary particles in the Pentonions, before expansion via triangular numbers into the Octonions, leading to a potentially new kind of Super- Symmetry.



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