Public version contains strictly astrophysical fundamental theory only. Full La-grangian with scalar-vector interactions and engineering mappings is reserved underU.S. provisional patent filings April-July 2026. We present the sanitized v26 of theRG-S framework. From the 1-loop heat-kernel expansion on Schwarzschild back-ground with a Z2 scalar φ1 and massive Proca vector φ2μ with curvature-dependentmass m2eff = m20 + ξK, K = RμνρσRμνρσ, we derive γ = 0.0931 ± 0.0004, ξ = 1/6,predicting a stable remnant M∗ = √γ/4πMP l = 0.0861MP l with S = 0, T = 0.The framework predicts a falsifiable GW echo Aecho/Ainit = 0.03 ± 0.01 at 45 ± 5 msfor ∼ 62M⊙ remnant, independent of Proca mass. Topological Hysteresis is definedas a geometric Berry phase in a MERA cortex requiring Nent ≥ 5 × 1053 coherentquanta for kpc displacements. Three falsifiers are defined.Note on versions: v25 full version with explicit gsp coupling and interaction terms is underrestricted access due to patent-pending matter. This v26 is the open astrophysical-onlyversion. Concept DOI: 10.5281/zenodo.21253878. This version DOI: v26 sanitized. Keywords Modified Gravity, General Relativity Extension, Symmetron Field, Proca Field, Fluid Geometry, Galactic Dynamics, Astrophysics, Theoretical Physics, Open Science
Juan Arroyo (Fri,) studied this question.