Conditional Effective-Field-Theory Descent from the OFT Parent Hierarchy: Normalization, Matching, Universality, and Predictive Closure of VGM

This paper develops a conditional effective-field-theory (EFT) descent from the Organizational Field Theory (OFT) parent hierarchy to the canonical Vectorial Gravitational Model (VGM). It establishes a systematic framework for light–heavy field separation, covariant coarse-graining, canonical normalization, Wilson-coefficient matching, organizational-current conservation, and source-map construction. The analysis distinguishes universal EFT coefficients from state-dependent responses and formulates cross-sector consistency conditions connecting static, rotational, compact-object, wave, and cosmological regimes. Matching-scheme covariance, renormalization-group evolution, technical naturalness, controlled truncation errors, and predictive identifiability are incorporated into a unified admission framework. A conditional predictive-closure theorem provides explicit mathematical criteria for determining when a proposed OFT parent realization can reproduce the canonical VGM sector without introducing independently adjustable phenomenological parameters. The work does not claim a completed microscopic ultraviolet theory or observational confirmation; rather, it establishes the mathematical conditions, normalization requirements, and falsifiability criteria necessary for a controlled and testable OFT-to-VGM descent.