Research Paper

Paper II: Rotation Curves Under a Global‑Only Policy

Jonathan Washburn

Recognition Physics Institute — Austin, Texas, USA

Summary

Tests a strictly global, finite‑refresh baryonic response using photometric geometry only on SPARC, under identical masks/error model shared with all baselines; compares ILG to a like‑for‑like MOND baseline with identical data vectors and loss.

Abstract

We test a strictly global, finite–refresh correction to the baryonic response, encoded by a deterministically computed weight $w(r)$ built from baryonic maps and catalogued photometric geometry only (no kinematic inputs), under a strict global–only policy (single stellar $M/L$, shared error model, predeclared inner–beam mask). On the SPARC Q=1 subset ($N_{\mathrm{Q1}}=127$), after uniform masks the effective samples are $N_{\mathrm{ILG}}=126$ and $N_{\mathrm{MOND}}=125$. With identical data vectors and loss, a like–for–like MOND (simple $\nu$) baseline attains median $\chi^2/N=2.47$ and mean $4.65$. The ILG benchmark yields median $2.75$ and mean $4.23$. The 1D proxy is not competitive (median $3.782$, mean $10.602$). Series note. Paper I defines the fixed, global phenomenology $w(r)$ and its scope; this paper (Paper II) tests that $w(r)$ on SPARC under identical masks/error model shared with all baselines.

Key Points

  • Global‑only policy: single stellar $M/L$, shared error model, preregistered inner‑beam mask.
  • Deterministic $w(r)$ from photometric geometry only; no kinematic inputs in the predictor.
  • SPARC Q=1 benchmark with identical data vectors and loss across ILG and MOND.
  • Comparative results: ILG median/mean ≈ 2.75/4.23 vs MOND 2.47/4.65; 1D proxy not competitive.