The Current Takes the Stand: From Coupled Propagation to Actual Electrons, Coulomb Response, and Born Dressing

Abstract

Starting from the original nine-field action of the common-source Spin×SU(7) theory, we connect coupled propagation to actual electron readouts, spatial Newton return, and Born dressing. The group structure, matter carrier, unique vacuum, and background constants of this theory are generated from the same source data with no fitted parameter; every coefficient below is an exact output of that source. The same source-generated electron state is identified with its original rest leg: its temporal current is $-1$ and its electromagnetic charge is $+1$. The one-pass Coulomb scalar and ordinary photon response retain all 64 weights, both endpoint corrections, independent age windows, and the original source amplitude; the photon formula holds at all sufficiently small scales on the original pole sheet. The mixed electromagnetic carrier on all 289 field directions is generated by the actual action Hessian. Every positive clock re-expression transforms the frequency residue and Jacobi derivative together, preserving the original flux identity. For Schwartz inputs, the all-direction Green function and two actual moving endpoints generate a common infrared radius and integrable domination; the genuine Fourier integral, with opposite momenta of the same transfer, returns to a Newton convolution. Unit normalization of complete N3 composite responses generates four Born overlaps. When each pair contains at least one independently generated sharp leg, their product $Z$ gives exactly $C_{\mathrm{full}}=ZC_{\mathrm{base}}$, so the two differ in modulus by $(1-Z)|C_{\mathrm{base}}|$. The chain rests on one foundation: joint local nine-field development and its initial-data derivative, Jacobi propagation at every real spatial momentum with field reconstruction, the two-phase action through fourth derivative order, a nonzero on-shell tree exchange normalized by original residues, and every finite CAR word on $L^2(\mathbb R^3,\mathbb C^{12})$ over the fixed background. Norm-continuous histories of bounded self-adjoint gauge controls generate unitary development for all real times and amplitudes, and the operator-norm derivative at zero amplitude reads back the Duhamel operator, Kubo integral, and original current. Thomson, full-light, and contact matching enter only as a conditional consumer.