The Complete Derivation of QED from Scalar Fields Using Noncommutative Geometry: Scalar-Field Derivation of the Finite Spectral Skeleton for QED

This paper is archived as a speculative research work. This paper derives the finite internal spectral skeleton required for the noncommutative-geometric derivation of QED from EAS scalar-field structure. The construction begins with scalar points, rank-3 association records, scalar values/signs, phase-specific reports, and a corrected lepton support package consisting of phase-isomorphic A/B sheets completed by scalar junction points j_0, j_1, j_2. From this scalar-field data we construct the finite QED-sector package S_F^phi = (A_Q^phi, H_F^phi, D_F^phi, J_F^phi, gamma_F^phi, rho_Q^phi). The common-mode phase algebra is A_Q^phi ~= C. The finite carrier is the report space H_F^phi = V_F^phi + E_F^phi, where V_F^phi records scalar points and E_F^phi records phase-exposed rank-3 association reports. The finite first-order operator D_F^phi is built from phase-specific scalar association differences, structured in a block matrix with zero diagonal blocks and off-diagonal differential elements, while its square packages the corresponding finite stiffness/readout form. The protected A/B carrier supplies a real-structure component satisfying (J_F^phi)^2 = -I, and the scalar-point/association-report decomposition supplies the grading gamma_F^phi. The scalar-value/sign common-mode readout yields charge classes Q_hat in {-1, 0, +1}, so that same-sign A/B presentations are QED-charged and opposite-sign presentations are QED-silent but remain support-readable through nonzero neutral contrast. The result is a finite internal spectral skeleton derived from scalar-field data rather than postulated, with its NCG role understood against the standard spectral-action framework (Connes 1994, Chamseddine & Connes 1997). This paper supplies the finite input for the subsequent NCG construction in which S_F^phi is paired with the standard spacetime spectral triple to obtain QED by inner fluctuation and spectral action.