An exceptional G(2) extension of the Standard Model from the correspondence with Cayley-Dickson algebras automorphism groups

In this article I propose a new criterion to extend the Standard Model of particle physics from a straightforward algebraic conjecture: the symmetries of physical microscopic forces originate from the automorphism groups of main Cayley-Dickson algebras, from complex numbers to octonions and sedenions. This correspondence leads to a natural enlargement of the Standard Model color sector, from a SU(3) gauge group to an exceptional Higgs-broken G(2) group, following the octonionic automorphism relation guideline. In this picture, an additional ensemble of massive G(2)-gluons emerges, which is separated from the particle dynamics of the Standard Model.

Automated summary

This article proposes a new criterion for extending the Standard Model of particle physics based on the automorphism groups of main Cayley-Dickson algebras, leading to an enlargement of the color sector and the emergence of an additional ensemble of massive G(2)-gluons separated from the particle dynamics of the Standard Model.