RCD 2.0 — Paper P2 v1.0: Galactic Effective Functions from S_eff[C] — Gradient Expansion, Matter Coupling Analysis, and Partial Reclassification
Abstract
Paper P2 v1.0 of the Radial Coherential Dynamics (RCD) 2.0 program. Derives galactic effective functions from the parent action S_eff[C] established in P1 v1.1. Three propositions are examined. Proposition 1 (positive): the covariant gradient expansion of S_conf to order nabla^4 C yields K_eff(X) = (1 + 2 Z_nl) X + beta X^2, with beta = -3 mu^4 l_K^4 / (4 C_*^4), fixed entirely by existing parameters. Proposition 2 (no-go): the conformal coupling A(C) does not emerge from S_eff; matter is variationally decoupled from C. Proposition 3 (no-go operative): kernel anisotropy generates internal disformality in the C sector but not phenomenological disformality for matter. The galactic sector is partially derived and partially reclassified: K(X) is promoted to level 1, while A(C) and D(X) remain level 3. The central open problem (Baryonic Bridge) is formulated as a question of principle: does an internal mechanism of the program select a universal, minimal, non-proliferating matter-C coupling, or must A and D be permanently declared phenomenological?
Fields of Study & Subjects
Cosmology and Gravitation Theories
Relativity and Gravitational Theory
Galaxies: Formation
Evolution
Phenomena
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 March 2026
- Language
- EN
- Document type
- Preprint