From EAS Spectral Geometry to Electrodynamics: Riemannian Quantization and Lorentzian Interpretation

This paper is archived as a speculative research work. Starting from separately obtained EAS binary relational data and the selected minimal electrodynamics factor constructed in Paper I, we build qualified Riemannian and Lorentzian spacetime electrodynamics representations while maintaining a strict ontology/interface boundary. The Paper-I factor is used here under its explicit handedness-resolving electrodynamics selection and minimal-carrier convention H_F=H_F^ = C^4; consequently every statement below about q=±1, one finite Dirac multiplicity, one finite mass modulus, and Tr_H_F( H^2)=4 is a selected minimal-factor result, not an EAS theorem excluding the nonminimal carriers H_F^(k)= C^4 C^k or proving handedness to be the unique physical charge selector. The auxiliary Riemannian branch admits a Spin spectral host and its almost-commutative product with this finite factor. A relational-difference result identifies a direct antecedent for the spacetime spectral differential: a defined binary SF relationship supplies a relational scalar difference, collections of such differences define a finite relational differential obeying the Leibniz rule, and three independent rank–3 differences determine the covector on their represented three-dimensional tangent span. In a four-dimensional host this fixes the corresponding component of df and hence of [D_E,f], while an additional independently qualified datum is required for a general fourth cotangent component. Within the selected minimal factor the product inner fluctuation leaves one relative U(1) direction, B_ =Y_ H, and the vanishing finite differential calculus produces no finite Higgs-type scalar. After canonical normalization the Riemannian branch reaches the conventional Euclidean QED action and its standard functional-integral quantization entry. On the certified static geometry sector, the independently reconstructed three-dimensional spatial geometry together with the F1/F2/F3 Lorentz report theorem fixes the Lorentzian signature of the physical spacetime interface; the resulting Spin/Krein branch has invariant selected q=±1 sectors and reaches classical one-field Maxwell–Dirac electrodynamics. Complex Hilbert amplitudes, the Born rule, canonical quantization, renormalization, scattering theory, the EAS-native handedness-versus- charge selector, and any EAS principle fixing minimal finite multiplicity are not derived here.