From the ECSM Electron-Like Packet to Dirac Closure: A Minimal Clifford-Algebra Test

Previous ECSM work identified a minimal electron-like response packet as a finite-radius, occupancy-locked, unit-negative localised configuration with branch counts (N_+, N_0, N_-) ≃ (0,1,3) and q_eff ≃ -1. A subsequent internal-orientation test showed that this packet can host a recovered two-state orientation p=+1 and p=-1 with a two-component spinor basis, Pauli algebra closure, SU(2) norm preservation, and perturbative recovery. This paper tests the next algebraic bridge: whether the V3b/V4b ECSM electron-like packet can consistently host a minimal Cl(1,3) Clifford/Dirac scaffold. Using the V5 Clifford/Dirac closure notebook, the fixed packet remains in the electron-like sector, with N_+ = 9.7164e-4, N_0 = 1.000146, N_- = 2.998882, and q_eff = -0.999304. A standard 4x4 gamma-matrix representation is constructed and tested against the Clifford relation {gamma^mu, gamma^nu} = 2 etamu nu I. The maximum Clifford closure error is zero. The corresponding Dirac alpha_i and beta matrices also satisfy the required alpha/beta algebra with zero numerical closure error. A dimensionless response-locking mass scale m_lock = 0.2254634353 is introduced as a toy mass-gap parameter. The minimal Hamiltonian H(k) = alpha_1 k + beta m_lock produces symmetric positive and negative branches E_±(k) = ±sqrt(k^2 + m_lock^2), with maximum branch error 1.33e-15. A simple chi-deformed Clifford closure test also closes to numerical precision, with maximum error 4.44e-16. Packet-hosted positive and negative spinor modes are normalised, orthogonal, and share the same ECSM packet density envelope. All twelve V5 verdict criteria pass. The result does not derive the physical Dirac equation dynamically from ECSM, nor does it derive QED, the physical electron mass, magnetic moment, scattering amplitudes, or pair creation. It establishes the narrower result that the previously identified ECSM electron-like packet, already supporting a recovered SU(2) two-state orientation, can be consistently lifted into a minimal Clifford/Dirac algebraic scaffold with symmetric positive/negative branch structure.