  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.
