The Resonance–Stability Framework: Full-Archive Validation and Predictive Accuracy Across the NASA Exoplanet Archive (September 2025)

This record presents Version 2 of the Resonance–Stability Framework, validated against the complete NASA Exoplanet Archive (PSCompPars export dated 2025-09-18). The framework introduces a composite stability score: S = 0.5R + 0.3H + 0.2N where: R measures resonance proximity between orbital periods, H quantifies dynamical spacing via mutual Hill stability, N evaluates no-crossing margins using eccentricity-adjusted peri/apocenter checks. Key Results Full-Archive Coverage: 38,898 planetary entries, 3,796 multi-planet host systems, and 298,599 planet–planet pairs were analyzed. NASA Sept-17 Milestone Validation: All 10 milestone host systems (WISPIT, GJ 536, HD 224018, HD 28471, HIP 41378, K2-73, TOI-1438, TOI-2322, TOI-6303, TOI-6330) ranked as high-scoring (S_max ≥ ~0.6). Reproducibility: This reproduces earlier results from the Aug 31, 2025 snapshot, where the overlapping milestone systems also scored high. Outcome: Two consecutive validation cycles with 100% agreement demonstrate the predictive accuracy of the framework. The Resonance–Stability Framework offers: Scalability → Lightweight computation, archive-wide runs (~300k pairs) in a single pass. Predictive Power → Identifies stable, resonant systems that align with NASA’s active follow-up and recent confirmations. Utility → Supports JWST, Roman, and ground-based programs in target prioritization, TOI vetting, and as a machine learning feature for system classification.