The M2 Soliton Function, First Layer Closed: Certification, Dictionary, and the A2-q Verdict for the Weak-Cloud Bag

In BVP units (eta=sigma=1), we complete the full certification chain of the two-component boundary value problem for the mother core (Higgs-ized medium compacton, 1/r^3 source + B7 pinned core) and the weak cloud (Yukawa coupled): anchor reproduction (nail-cap to nine digits, pp-mapping 4/4, joint root to six digits), reconstruction of Dictionary v2 (digit-exact reproduction of the Born-level printout), docking with the five-term family v1.0 analytic derivation, and the formal A2-q verdict |q_tot/q_eff − 1| = 3.3% < 5% (PASS). Also delivered: Scale Bridge 2b(a) (3.622 keV/BVP unit, kappa_min = 958 co-signed), the cloud excitation spectrum, the nu running profile (+0.12 / −0.56 / +0.91) and the three-generation closure (winding truncation × critical-end collapse law, confirmed by LEP N_nu = 3). All conclusions carry anchor labels and flip conditions F1–F5.Keywordssoliton function; wrap-pin-tunnel; male-female pair; flavor ladder; flip-condition book