Design Criteria for the Radial Acceleration Relation in Kinetic Completions of RCD
Abstract
We derive the analytic conditions that any kinetic completion K(X) of RCD must satisfy to reproduce the observed radial acceleration relation (RAR) with the correct scale a_0, slope, and scatter. These design criteria connect the asymptotic behavior of K(X) at large X to the deep-MOND slope, the transition sharpness to the RAR scatter (~0.13 dex), and the normalization to the population-level knee. The criteria provide a constructive path for engineering K(X) functions beyond B' and B'' that satisfy galactic, solar-system, and cosmological constraints simultaneously.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Galaxies: Formation
Evolution
Phenomena
Stellar
planetary
and galactic studies
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 2 March 2026
- Language
- EN
- Document type
- Preprint