Standard-model particles and interactions from field equations on spin (9+1)-dimensional space

Abstract We consider field equations set on an extended spin space that contain fermion and boson solutions. At given dimension, they determine the scalar symmetries. The standard field equations can be equivalently written in terms of such degrees of freedom, and are similarly constrained. At 9+1 dimensions, the SU(3)×SU(2)L×U(1) gauge groups emerge, as well as solution representations with quantum numbers of related gauge bosons, leptons, quarks, Higgs-like particles and others as leptoquarks. Information on coupling constants is also provided.