This record contains the preprint and reproduction package for RMB Paper II: a covariant field-theoretic analysis of the scale parameter rc in the Raum–Materie–Bewegung (RMB) framework for galaxy rotation curves. Paper I (doi: 10. 5281/zenodo. 20004320) established that the RMB amplitude scales universally as ARMB ∝ vflat², while the scale radius rc remained unexplained and uncorrelated with all tested baryonic observables. This work addresses the physical origin of rc through three contributions: 1. Covariant field extension A mass term introduces a Yukawa screening length rc = sqrt (2) / (a₀ * mₚhi), implying that rc is the inverse effective field mass (mₚhi c² ≈ 10^-28 to 10^-26 eV). 2. Orthogonal reparametrisation (P, Gᵢn) Replacing (A, rc) with P = A and Gᵢn = A / rc reduces the correlation from r = 0. 78 to r = 0. 22. The inner gradient is stable: Gᵢn ≈ 0. 60 a₀ across n = 108 SPARC galaxies. Partial-correlation analysis confirms that Gᵢn is not an independent baryonic observable (rₚartial = 0. 08, p = 0. 42, controlling for vflat). 3. rc as a mathematical consequence The stationary RMB field equation is elliptic and contains no intrinsic length scale. Any length scale must arise from boundary conditions, not local physics. rc therefore encodes the cosmological formation history of the RMB field. A pre-registered observational test (H2: environmental dependence of rc at fixed vflat) is defined with decision criterion |Δ log rc| > 0. 2 dex and Mann–Whitney p < 0. 01. Contents • Reproduction package (Paper2Reprod. zip): - makeₚaper2ᵣeparamfigure. py — reproduces Figure 1 - rmbₐlphacatalogue. csv — RMB fitted parameters (n = 108) - paper2figures. png, paper2ₛtats. csv - README. md - sparc/ (Lelli et al. 2016) Reproduce: python makeₚaper2ᵣeparamfigure. py --sparc-dir sparc
Davide Dellomonaco (Mon,) studied this question.