This preprint presents an effective screened scalar theory whose coupling function is uniquely determined by a conformal invariance condition in five-dimensional Anti-de Sitter (AdS5) geometry. The resulting framework reproduces the observed Radial Acceleration Relation (RAR) in the weak-field regime of disk galaxies. The logarithmic coupling is selected uniquely under continuity and symmetry assumptions. The inner and outer limits are derived analytically, while the interpolation between them is numerically verified against the full field equation. The model is tested against 3,391 measurements across 175 SPARC galaxies. The manuscript explicitly distinguishes rigorous derivations, physically motivated assumptions, numerical verification, and empirical inputs. This version represents the complete preprint prior to journal submission.
Hassan El Farran (2026) studied this question.