Absolute structural reduction of Maxwell in the Sistema Vectorial SV and single equation of factual electromagnetic physics

This paper establishes the absolute structural reduction of the first-order electromagnetic system within the Sistema Vectorial SV (SV) and fixes the single equation of factual electromagnetic physics that condenses the reduction into one sovereign canonical statement. The four factual equations corresponding to electric Gauss, magnetic Gauss, Faraday and Ampere-Maxwell are reorganized inside the SV as a closed factual electromagnetic domain, without sovereign time, probability, statistics, external coordinate sovereignty or hidden auxiliary geometry. The reduction is formulated over the canonical factual apparatus of the SV: factual flux, factual divergence, factual rotor, factual constitutive relations, factual metrology, structural and positional Jacobians, trajectory transforms, frontier criteria and the factual reconfiguration operator. The electromagnetic domain is thereby expressed as a single structural equation whose components preserve the constitutive prohibitions of the SV and remain compatible with the operatorial foundation previously established for factual electromagnetism. The work derives the factual wave equation, fixes the absolute frontier criterion of the electromagnetic domain, and shows how the inherited Maxwellian structure is absorbed as a disciplined reduction inside the SV rather than as an external postulate. Numerical and structural verification is provided through canonical laboratories and control cases associated with the canonical cell SV(3,9), including positive banks and negative falsification cases. --- Resumen en español: Este trabajo establece la reducción estructural absoluta del sistema electromagnético de primer orden dentro del Sistema Vectorial SV y fija la ecuación única de la física electromagnética factual. Las cuatro ecuaciones factuales correspondientes a Gauss eléctrica, Gauss magnética, Faraday y Ampere-Maxwell se reorganizan como un dominio electromagnético factual cerrado, sin tiempo soberano, probabilidad, estadística, geometría auxiliar soberana ni inferencia opaca. La reducción se formula sobre el aparato factual canónico del SV: flujo factual, divergencia factual, rotor factual, relaciones constitutivas factuales, metrología factual, jacobianos, transformadas de trayectoria, criterios de frontera y operador factual de reconfiguración. El resultado absorbe la estructura heredada de Maxwell como reducción disciplinada dentro del SV y no como postulado externo. La verificación numérica y estructural queda asociada a laboratorios canónicos, casos positivos y casos negativos de falsación sobre la célula canónica SV(3,9). --- Note: Canonical material source on GitHub: https://github.com/juantoniolloretegea/SV-matematica-semantica/tree/main/documentos/adendas/matematica-fisica-factual-contemporanea-sv/ecuacion-factual-maxwell. Supplementary reproducible laboratories preserved in Zenodo: https://doi.org/10.5281/zenodo.19895446. Concept DOI for all laboratory versions: https://doi.org/10.5281/zenodo.19895445. These canonical sources are provided to facilitate direct consultation of the living textual record, reproducible laboratory verification and reader-side translation through standard browser translation tools when required.