Galaxy Rotation Curves Show a Surface-Density–Dependent Transition Geometry (κ–Σ) That MOND Does Not Reproduce: A Surface-Density-Constrained, Non-Tuned Framework Evaluated on 174 SPARC Galaxies
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866901668398891008 |
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| author | Stacey, Caleb |
| author_facet | Stacey, Caleb |
| contents | <h2>Abstract</h2> <p>We present a recursive regime model for galaxy rotation curves in which the effective saturation parameters (Ω, λ) are not freely tuned per galaxy, but instead approximated from observable baryonic structure. Specifically, Ω and λ are expressed as simple log-linear functions of a baryonic surface-density proxy Σ ≈ M_b / r_d² derived directly from SPARC rotation curve data.</p> <p>The model incorporates a recursive contribution to velocity, modulated by a radius-dependent damping term exp(−r/r_d), which prevents outer-radius divergence and stabilizes high-mass systems. Across a sample of 174 SPARC galaxies, the model achieves an average RMSE of 26.1 km/s in-sample and 26.8 km/s under leave-one-out validation, approaching the performance of standard MOND (24.5 km/s) while requiring no per-galaxy parameter fitting.</p> <p>These results demonstrate that the model operates within a shared structural regime that is strongly constrained by measurable baryonic distribution, generalizes robustly to unseen systems, and does not depend on fine-tuned parameters.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19681725 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Galaxy Rotation Curves Show a Surface-Density–Dependent Transition Geometry (κ–Σ) That MOND Does Not Reproduce: A Surface-Density-Constrained, Non-Tuned Framework Evaluated on 174 SPARC Galaxies Stacey, Caleb galaxy rotation curves SPARC dataset MOND comparison baryonic physics empirical model gravitational modeling emergent systems <h2>Abstract</h2> <p>We present a recursive regime model for galaxy rotation curves in which the effective saturation parameters (Ω, λ) are not freely tuned per galaxy, but instead approximated from observable baryonic structure. Specifically, Ω and λ are expressed as simple log-linear functions of a baryonic surface-density proxy Σ ≈ M_b / r_d² derived directly from SPARC rotation curve data.</p> <p>The model incorporates a recursive contribution to velocity, modulated by a radius-dependent damping term exp(−r/r_d), which prevents outer-radius divergence and stabilizes high-mass systems. Across a sample of 174 SPARC galaxies, the model achieves an average RMSE of 26.1 km/s in-sample and 26.8 km/s under leave-one-out validation, approaching the performance of standard MOND (24.5 km/s) while requiring no per-galaxy parameter fitting.</p> <p>These results demonstrate that the model operates within a shared structural regime that is strongly constrained by measurable baryonic distribution, generalizes robustly to unseen systems, and does not depend on fine-tuned parameters.</p> |
| title | Galaxy Rotation Curves Show a Surface-Density–Dependent Transition Geometry (κ–Σ) That MOND Does Not Reproduce: A Surface-Density-Constrained, Non-Tuned Framework Evaluated on 174 SPARC Galaxies |
| topic | galaxy rotation curves SPARC dataset MOND comparison baryonic physics empirical model gravitational modeling emergent systems |
| url | https://doi.org/10.5281/zenodo.19681725 |