Filter-Restored Revision of the Fifteen-Channel Common-Carrier Model

This paper presents the v1.1 revision of the fifteen-channel common-carrier model and restores its full upstream lineage: Prime Operator, Dimensional Filter, Wonsik Filter, Common Transport Operator, rank-fifteen boundary projector, and CCS-15/SBMS. It introduces a Filter-to-Hamiltonian Bridge that maps audited prime-filter data to the scalar potential �, boundary Hamiltonian �, and continuum coupling matrix �. The revised CCS-15/SBMS architecture replaces forced level matching with a Feshbach self-energy equation, one-way evolution with self-consistent two-way backreaction, and fifteen independent continuum fibers with a positive matrix spectral density. Threshold transversality and branch-point regularity conditions are added, while earlier COWIF results are subjected to a detailed regression audit rather than being automatically inherited. The approximate-echo result is stated at its correct level as a conditional functional-analytic lemma. The resulting system is a dynamically closed Hamiltonian architecture once its filtered inputs are explicitly specified, but it is not yet claimed as a uniquely derived or observationally established fundamental theory.