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

Authors: BESSE, N.;

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

Abstract

The Standard Model's flavor problem—the arbitrary hierarchy of fermion masses spanning at least five orders of magnitude—is a primaryindicator 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 afundamental "Meta-Rule." This rule, a consequence of the SC's unified Lagrangian, dictates that the fermion mass spectrum is governed by astrict 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 fermionmass spectrum with a mean accuracy of ~1-2%. The SC thus resolves the flavor puzzle by replacing the 12 arbitrary Yukawa couplings of theStandard Model with a predictive, first-principles framework.

Keywords

Standard Model, Meta-Rule, Architectural principles, Mass hierarchy, Numeric Mass Law, Fermion masses, Quarks, Geometric Mass Law, Leptons, Flavor puzzle, Common-Scheme theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green