Mass Hierarchy and Mixing Matrices from Universal Bifurcations

Abstract

The goal of this report is to tentatively show that the hierarchy of fermion masses and mixing angles follows from the universal behavior of nonlinear dynamics. Our work breaks away from attempts of explaining the Standard Model (SM) based upon heavy fields, postulated objects in complex spaces, non-commutative or motivic geometry, Quantum Gravity models, unconventional algebras, or extended symmetry groups.