Multifractal Theory and Physics of the Standard Model

Abstract

We show that the Standard Model (SM) represents a self-contained multifractal set on spacetime having arbitrarily small deviations from four-dimensionality (D = 4 - ɛ, ɛ << 1). All coupling charges residing on this background (gauge, Higgs and Yukawa) satisfy a closure relationship that a) tightly constrains the flavor and mass content of the SM and b) naturally solves the “hierarchy problem”, without resorting to new concepts reaching beyond the physics of the SM.