Baryonic Validation of the Omega Kinematic Correction Across 84 SPARC Galaxies

Baryonic Validation of the Omega Kinematic Correction Across 84 SPARC Galaxies D. C. Flynn (EPS Research, Laurel, MD, USA) This record contains the full preprint of a comprehensive baryonic validation of the empirical omega (ω) kinematic correction applied to 84 SPARC Q=1 disk galaxies. The ω correction is a two‑boundary angular‑velocity diagnostic derived solely from the innermost and outermost measured rotation‑curve points. It is designed to recover the baryonic velocity field from observed kinematics without invoking dark‑matter halo profiles or modified‑gravity parameters. Using sign‑preserving quadrature for gas, disk, and bulge components, and per‑galaxy mass‑to‑light ratio optimization under the Maximum Disk constraint, the study evaluates whether the ω‑corrected velocity aligns more closely with the baryonic velocity than a Keplerian extrapolation. The analysis includes: Full baryonic decomposition for 84 SPARC Q=1 galaxies RMSE comparison against Keplerian, uncorrected baryonic, and MOND RAR models Outer‑gap, log‑slope, and enclosed‑mass diagnostics Same‑target comparison of ω vs. MOND evaluated against Vbary Key results: In 78 of 84 galaxies (93%), the ω‑corrected velocity matches the baryonic velocity more closely than the Keplerian baseline. Mean RMSE improves from 74. 20 → 25. 45 km/s, a 2. 0× gain over uncorrected baryonic physics. At every outermost radius, Vₐdj < Vbary, confirming that the correction does not re‑import a dark‑matter‑like excess. When evaluated on the same baryonic target, ω outperforms MOND in 82 of 84 galaxies (25. 45 vs. 60. 57 km/s). These results demonstrate that the ω correction isolates the baryonic velocity field with high empirical fidelity across diverse morphologies and mass scales. The method is parameter‑free, survey‑agnostic, and complements both ΛCDM halo modeling and MOND by addressing a distinct kinematic question: recovering the baryonic velocity field from observed rotation curves. Data Availability: All SPARC baryonic decomposition files, rotation‑curve tables, and supporting materials used in this analysis are publicly available at Zenodo: https: //zenodo. org/records/19798527 This preprint corresponds to the manuscript submitted to New Astronomy (Elsevier). Associated datasets and code are archived separately under the DOI above.