The QED Photon Correspondence in Entanglement-Algebraic Spacetime: Relational One-Forms, Local U(1), and the Lorentz-Maxwell Interface

This paper is archived as a speculative research work. This paper identifies a conditional correspondence between the pre-interface relational structure of Entanglement-Algebraic Spacetime (EAS) and the photon sector of quantum electrodynamics while preserving a strict ontology/interface boundary. On a certified binary report scope, actual endpoint differences generate a first-order relational differential d_A and an edge one-form module ^1_ rel. On a qualified spatial-geometry and Spin interface, that module maps locally to the spatial pullback of the ordinary spectral one-form calculus. A standard real two-point noncommutative-geometric interface with A_F= C^2 and D_F=0 has relative finite gauge group U(1); after adjoining the represented base algebra, the gauge freedom is local, C^∈fty(M,U(1)), and its inner fluctuation is a vector connection rather than a finite Higgs-like scalar. No electromagnetic gauge phase is introduced in the scalar-field ontology. A separate EAS branch supplies a Lorentz-compatibility constraint. The canonical free Phase-0 recurrence control, recurrence–accommodation synchrony, and unit atomic accommodation provide the normalization inherited by the F3 Lorentz report theorem. F3 gives the proper reciprocal SO^+(1,1) report transformation; together with an independently reconstructed three-dimensional spatial geometry, direction provenance, and transverse invariance, this yields a conditional single-direction 3+1 Lorentz host. The gauge and Lorentz branches meet at an explicit downstream completion gate: a standard flat-Minkowski free-field/QED domain is adopted only subject to preserving the CPT-6 local connection pullback and agreeing with the CPT-7 Lorentz structure on their certified overlap. Free Maxwell theory on that completion has the exact physical polarization quotient k^ /span_ Ck of complex dimension two for each nonzero null momentum. Standard positive-frequency bosonic Fock quantization then identifies normalized one-particle excitations as photons in the free photon sector of QED. Accordingly, the scope-qualified EAS relational one-form sector is conditionally identified as a pre-interface antecedent of the local U(1) connection carrier whose compatible free-field completion possesses the physical one-particle photon sector. This is a correspondence theorem, not an ontology-first derivation of global Minkowski spacetime, Maxwell dynamics, the positive-frequency splitting, Fock quantization, the interacting QED action, the Born rule, scattering amplitudes, or a possessed pre-detection photon trajectory. Full Phase-1/2 recurrence histories, transverse K values, scalar-loading laws, handedness-to-helicity identification, bilateral holonomy/curvature, and concrete SOO transport remain separate research programs except for the narrow Phase-0 normalization package transitively required by the Lorentz host. The present Version 3 also retains the previously certified photon-history, polarization-carrier, scalar-calibration, and endpoint-attribution results under those revised dependency classes, so that useful Version 4.0 results are preserved without becoming premises of photon identity.