FORMAL CLOSURE OF TECHNICAL DEBTS, SUB-HADRONIC CAVITY SPECTROSCOPY, AND THE GEOMETRIC ORIGIN OF FERMION FAMILIES (XLIII v6)

This treatise delivers the formal analytical closure of the FCD-RBv6 unified pregeometric framework. We perform a rigorous, audit-grade synthesis of all historical open technical debts, demonstrating their exact resolution from first principles without ad-hoc parameters: the 5D anchoring well depth (V 0 = 800.12 MeV), the pure AdS 5 elastic cavity mode corresponding to the X(2370) resonance at 2362.41 MeV, the critical magnetic shear vorticity field (B crit = 2.97 × 10 16 G), and the solar pp-I fusion Q-values (Q pp = 0.420 MeV, Q pep = 1.442 MeV). Furthermore, we present the explicit geometric derivation of the three generations of quarks (u, d, s, c, b, t) and leptons (e, µ , τ) as elastic deformation modes of the Einstein-Rosen (ER) dipole string and Rayleigh surface waves on the Y-gate throat, governed by the base mass quantum ∆m 0 = 2.512 MeV, the anchoring rate 0.352 MeV, and the fluid cursor 78.22 MeV. Finally, we outline the observational falsability test in the CMB Silk tail (∆ℓ ≈ 280 in EE polarization for ℓ > 1500) and formulate the author’s epistemological reflection on the multi-front mathematical over-determination of the model.