Structured Resonance, Gravity, and Material Stabilization: A Resonance-Coherence Framework

This revised theoretical preprint develops structured resonance as a restricted resonance-coherence framework for classifying gravitational stabilization, material persistence, and retained organization within declared effective comparison regimes. The paper follows Phase-Coherent Spacetime: A Resonance-Driven Extension to General Relativity and Coherence-Induced Gravity: Structured Resonance as a Fundamental Component of Spacetime Dynamics, which introduced the perturbative effective metric ansatz, the resonance-induced correction tensor, field-level curvature response, conservation-compatible comparison structure, and observational constraint domains. The present work addresses the downstream stabilization problem. It asks under what conditions resonance-sensitive gravitational corrections may be classified as coherence-supported, stabilization-relevant, and materially persistent within declared domains of evaluation. The framework introduces formal predicates for gravitational correction support, material stabilization, trace-level evaluability, information retention, and coherence-supported organization. Material stabilization is used in a restricted formal sense. It denotes the persistence of an effective physical configuration under declared coherence-support, coupling, perturbation, and admissibility conditions. It is not presented as matter production, an operational materialization protocol, a completed microscopic theory of mass-energy, or an empirical replacement for general relativity, quantum field theory, condensed matter physics, cosmology, or information theory. Observational and experimental interfaces, including gravitational-wave residuals, lensing comparisons, galactic-scale residuals, cosmological structure, quantum-coherence platforms, and laboratory stability regimes, are treated as constraint domains for model comparison and parameter restriction. The contribution of the paper is formal and classificatory: it identifies the additional stabilization conditions required before resonance-sensitive gravitational corrections can be related to material persistence, trace-level evaluability, retained structured correlation, or coherence-supported organization. The framework is proposed as a revised theoretical preprint for future mathematical refinement, domain-specific residual derivation, and empirical constraint. It does not claim direct validation, operational control, or a completed theory of gravity, matter, information, cognition, or reality.