An Exceptional Dark Matter from Cayley–Dickson Algebras
Abstract In this article I propose a new criterion to individuate the origin and the properties of the dark matter particle sector. The emerging candidates come 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, dark matter is a relic heavy G(2)-gluons ensemble, separated from the particle dynamics of the Standard Model due to the high mass scale of its constituents.