Solving the Flavor Puzzle: An Architectural Derivation of the Complete Fermion Mass Spectrum

The Standard Model's flavor problem—the arbitrary hierarchy of fermion masses spanning at least five orders of magnitude—is a primary
indicator of its incompleteness. This paper presents a solution derived from the architectural principles of the Common-Scheme (SC) theory.
We demonstrate that the 12 fundamental fermion masses are not free parameters but are generated by a deterministic algorithm rooted in a
fundamental "Meta-Rule." This rule, a consequence of the SC's unified Lagrangian, dictates that the fermion mass spectrum is governed by a
strict dichotomy: Quarks, as the `Concrete` (structural) block of matter, obey a Geometric Mass Law based on the constants `π` and `Φ`.
Conversely, Leptons, as the `Abstract` (interactional) block, obey a Numeric Mass Law derived from architectural integers (`3, 17, 288`)
encoded in the universe's binary signature. We present the explicit formulas for both laws and show that they reproduce the entire fermion
mass spectrum with a mean accuracy of ~1-2%. The SC thus resolves the flavor puzzle by replacing the 12 arbitrary Yukawa couplings of the
Standard Model with a predictive, first-principles framework.