The elementary particles as knots in the SU(2) higher homotopy Hopf group

Abstract

Twelve of the fifteen prime knots with seven or less crossings taken as inclusions in the higher homotopic Hopf group of $SU\left(2\right)$ are used to delineate and distinguish the twelve Standard Model quarks and leptons. These knot inclusions set the generational assignment of the quarks and leptons and permit the conjecture that knot hyperbolic volume hierarchy controls the physical mass hierarchy of the elementary particles. The hierarchy conjecture permits a postulate regarding the Yukawa couplings.