This paper presents the V22 stage of the ECSM electron-like packet programme. Earlier stages constructed an inherited electron-like packet, recovered a finite dimensionless rest-energy minimum, converted that minimum into a physical scale-closure target, and then showed that a recovered single-action construction can regenerate a near-electron rest-energy scale without inserting the electron mass by definition. V22 tests the next necessary condition: whether the recovered electron-like packet supports coherent-limit Dirac-like free propagation. Using the V21b recovered rest-energy scale, V22 constructs a Dirac-type Hamiltonian from the recovered alpha/beta response algebra. The coherent-limit Hamiltonian is Hermitian, produces symmetric positive and negative energy branches, recovers the standard relativistic dispersion relation to numerical precision, preserves branch degeneracy, satisfies a continuity equation for a Gaussian spinor packet, and preserves unitary norm under free propagation. The coherent-limit dispersion error is 9.09e-13 keV, the maximum branch symmetry error is zero, the maximum branch degeneracy error is zero, the maximum continuity residual is 1.53e-13, and the maximum norm error is 7.77e-15. Finite-response corrections are introduced through the ECSM coherence parameter chi. As chi is reduced below unity, dispersion deviations grow in a controlled way while the Hamiltonian remains Hermitian. The result is therefore a coherent-limit recovery of free Dirac-like propagation for the ECSM electron-like packet. This is not a full QED derivation: no gauge coupling, magnetic moment, anomalous magnetic moment, Lamb shift, scattering amplitude, or radiative correction calculation is claimed.
Adam Sheldrick (Thu,) studied this question.