A Negative Correlation Between Dynamical Time and MOND Acceleration a0 in SPARC Galaxies
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2026
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| _version_ | 1866902144881262592 |
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| author | Oh, Young Jin |
| author_facet | Oh, Young Jin |
| contents | <p>We investigate the correlation between the dynamical time scale t_dyn = 2πR/V and the per-galaxy MOND acceleration constant a0 for 134 spiral and irregular galaxies from the SPARC database. We find a statistically strong negative correlation (Spearman ρ = −0.443, p = 8.6×10⁻⁸). Extended analysis reveals: (i) t_dyn is a mathematical combination of R and V, not an independent variable; (ii) three causal-direction tests (ANM, HSIC, LiNGAM) support a0 → t_dyn; (iii) HI disc radius R_HI is a novel independent predictor (partial ρ = −0.521), improving R²adj from 0.25 to 0.584. This research note reports observed patterns to invite critical examination. No mathematical theoretical framework exists; independent verification is required.</p> <p> </p> <p>v8 (May 2026): Added MOND first-principles derivation (BTFR reproduced: V coef +4.13, M_bar coef -1.09), THINGS sub-sample validation (n=12, ρ=−0.476), morphological analysis, NGC 4085 tidal explanation, honesty checklist expanded to 20 items.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20380912 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Negative Correlation Between Dynamical Time and MOND Acceleration a0 in SPARC Galaxies Oh, Young Jin MOND SPARC galaxies dynamical time a0 rotation curves HI disc causal inference <p>We investigate the correlation between the dynamical time scale t_dyn = 2πR/V and the per-galaxy MOND acceleration constant a0 for 134 spiral and irregular galaxies from the SPARC database. We find a statistically strong negative correlation (Spearman ρ = −0.443, p = 8.6×10⁻⁸). Extended analysis reveals: (i) t_dyn is a mathematical combination of R and V, not an independent variable; (ii) three causal-direction tests (ANM, HSIC, LiNGAM) support a0 → t_dyn; (iii) HI disc radius R_HI is a novel independent predictor (partial ρ = −0.521), improving R²adj from 0.25 to 0.584. This research note reports observed patterns to invite critical examination. No mathematical theoretical framework exists; independent verification is required.</p> <p> </p> <p>v8 (May 2026): Added MOND first-principles derivation (BTFR reproduced: V coef +4.13, M_bar coef -1.09), THINGS sub-sample validation (n=12, ρ=−0.476), morphological analysis, NGC 4085 tidal explanation, honesty checklist expanded to 20 items.</p> |
| title | A Negative Correlation Between Dynamical Time and MOND Acceleration a0 in SPARC Galaxies |
| topic | MOND SPARC galaxies dynamical time a0 rotation curves HI disc causal inference |
| url | https://doi.org/10.5281/zenodo.20380912 |