An EAS Scalar-Field Model of Electron-Positron-Class Creation from Two Photon-Like Reports

This paper is archived as a speculative research work. This paper asks whether Entanglement–Algebraic Spacetime (EAS) scalar fields can model the scalar-field side of electron-positron-class creation from two photon-like input reports. The result is not presented as a purely formal possibility. It is the theorem-level consolidation of finite scalar-field model searches and gate audits. Those models blocked null input, association-only creation, capacity-only creation, non-rank-3 boundaries, disconnected internal closure, sub-burden weak activation, and automatic return after decomposition. They also produced the corrected connected scaffold and support-identity witness used by the theorem. Each input must first pass the EAS photon-like report certifier: a three-point cyclic carrier, three exterior-associated points, exactly one record-defined path-facing exterior continuation, two non-path transverse supports, and residual-free nonzero primitive transverse loading. The model-certified contact problem is then whether two such reports complete a persistent reciprocal bounded-support pair. The modeled scaffold result is Nₜot = Ncore + Nₑxt = 18 + 6 = 24, where the eighteen-point reciprocal Russian-doll core is internally closed but not yet an in-field support, and the six exterior points provide the minimal rank-3-compatible connection to the surrounding scalar-field association network. The corrected slot-unfolded extractor further verifies that each created branch has the Russian-doll grammar: inner rank-3 triangle + six-slot outer shell, three radial spokes + three boundary-to-dressing contacts, with branch-core degree sequence 2, 2, 2, 3, 3, 3, 3, 3, 3. Under the scalar-loaded support taxonomy, the persistent supports are read as bounded scalar-field supports with nonzero SOO-selected lifted signatures, active conjugate classifications SFREF and SFCONJ rather than SFSILENT, and deferred charge-sector eligibility through Qb. The corrected model certificate verifies typed support-grammar identity with the k=1 lepton-hierarchy motif record A^ (1) + C^ (1), with same-ledger. Thus, the theorem establishes creation of reciprocal, non-silent, Qb-eligible k=1 finite-support reports: P₁ + P₂ -> (Sₑ, Sₑ-bar), where Sₑ maps to (Rₑ=1, Qb (SFREF) ) and Sₑ-bar maps to (Rₑ=1, Qb (SFCONJ) ). This is not a QED amplitude, cross-section calculation, measured electric-charge derivation, dimensional mass actualization, or detector-event model.