This archive presents MEON v1. 0b, a mathematically defined effective weak-field response theory for baryonic disk-galaxy rotation curves, together with MEON-R1, a relativistic completion candidate. MEON v1. 0b models the gravitational response to the baryonic Newtonian field through a nonlinear response kernel νq (y) with an environmental term eₑxt. The framework is tested against SPARC rotation-curve data using strict cross-validation, repeated blind validation, adversarial holdout tests, failure-mode diagnostics, stability checks, and Occam-style model selection. The validated core result is MEON v1. 0b as an effective weak-field rotation-curve model. Bounce-based disk formation, kNN environmental estimators, and SPARC-internal cosmic-web estimators are not adopted as validated core components. MEON-R1 is retained as a relativistic extension candidate because it reproduces the MEON v1. 0b weak-field limit and passes kernel stability and Occam gating as an extension rather than as the current core. A preliminary external weak-lensing gate is performed using public KiDS/Brouwer weak-lensing RAR data. In the fixed no-extra-parameter comparison, MEON-R1 slightly outperforms Standard MOND and strongly outperforms the baryonic Newtonian baseline. However, when a global lensing amplitude is allowed, Standard MOND achieves the lower BIC-like score. Therefore, MEON-R1 is considered viable but not finally validated. Further covariance-aware weak-lensing tests, Solar-System/PPN constraints, gravitational-wave propagation checks, and cosmological validation are required before claiming a complete relativistic theory.
Asil Karahan (Tue,) studied this question.