What question did this study set out to answer?

The research aims to derive a scalar theory validated by the Radial Acceleration Relation in disk galaxies using AdS5 symmetry.

April 19, 2026Open Access

A Conformal Derivation of the Radial Acceleration Relation from AdS₅ Symmetry

Key Points

The research aims to derive a scalar theory validated by the Radial Acceleration Relation in disk galaxies using AdS5 symmetry.
Developed a screened scalar theory based on conformal invariance in five-dimensional space.
Analytically derived the limits of the model and verified it numerically.
Tested the model against 3,391 measurements from 175 SPARC galaxies.
Successfully reproduced the Radial Acceleration Relation in the weak-field regime.
Demonstrated the unique selection of logarithmic coupling under specific conditions.
Verified the analytical framework with empirical data.

Abstract

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.

A Conformal Derivation of the Radial Acceleration Relation from AdS₅ Symmetry

Key Points

Abstract

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