From Operator-Derived Transition Amplitudes to Finite-Response Emission Kernels in an ECSM Electron-Like Packet

This paper extends the ECSM electron-like packet programme from static bound-shell structure and operator-derived transition amplitudes to a finite-response transition-rate kernel. Building on the V15c construction, an inherited electron-like packet scaffold is promoted into rate-like kernels and used to derive finite-response population relaxation between bound shell families. The inherited packet remains electron-like, with effective charge q_eff ≈ -0.9993, preserved Dirac-like alpha/beta algebra closure, 32 finite modes, and 54 coherent allowed transitions grouped into the three forward families l0→l1, l1→l2, and l2→l3. Forbidden transition strengths and rates vanish numerically. Coherent anisotropy and coherent chi preserve the three-family scaffold, while excessive anisotropy or low chi exposes additional reversed or leaked transition families, interpreted as degraded finite-response diagnostics. A finite-response relaxation calculation conserves total probability to numerical precision while reducing the initially excited l=3 shell population. The result is not claimed as a physical QED lifetime calculation, but as a structural ECSM bridge from bound electron-like modes to operator-derived transition rates and finite-response relaxation dynamics.