Q Quantum Theory II-C: Electrodynamics - Correspondence with Finite-Coherent and Local QED

This paper develops the representation-level correspondence between Q electrodynamics (QQED), its finite-coherent operator/Fock realization, and renormalized local QED. The primitive physical object remains the complete Q of Paper II-A; the purpose here is not to introduce a second ontology but to show how the same finite-response mother is represented by response-space operators, Fock sectors, Hamiltonian/TOPT amplitudes and, when the response is unresolved, the ordinary local-QED organization. The exact branch is followed from its cut-plane master response through an operator-valued response lift, cocycle-Fock dynamics, a balanced contractive interaction, coefficientwise optical and TOPT-Euclidean reconstruction, and the complete one-loop self-energy/vacuum-polarization/proper-vertex Ward family. The ultraviolet proofs remain in Paper II-B. The construction is then extended to the charged-Fock domain, relative infrared completion, non-Fock charged asymptotic sectors, dressed one- and multi-Q scattering, asymptotic photon fields and response-resonance sewing.