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Published March 20, 2026 | Version v21

The Analytic Resolution of the CKM Hierarchy and the Geometrization of Mass

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Version 16 of the Emergent Resonant Brane (ERB) model provides the final synthesis of
Lagrangian dynamics (v14) and inertial resolution (v15). We present the Emergence Principle:
the entire flavor and cosmological structure of the universe arises from a single mechanical seed
(mB/mA = 1.5) in a topologically closed vacuum. We analytically derive the Flavor Clock
constant γ = 2π from the Q = 1 vortex condition and reproduce the CKM matrix with an
accuracy of MAE = 1.88×10−5 using the Inertial Warping Law (m−1/4). The model identifies
the force ratio of the Dark Sector as the relativistic residual α = 2π − 1.

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