Complete Rotation Curve Validation with Physically Motivated r_c Scaling: SPARC-42 Analysis + LITTLE THINGS Cross-Validation With Formal Falsification Tests (Tests A, B, C)
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901906028232704 |
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| author | Guerrero Diaz, Irvin Alexis |
| author_facet | Guerrero Diaz, Irvin Alexis |
| contents | <p>We present a corrected and extended rotation curve analysis of 42 galaxies from the SPARC catalog using the Guerrero si-FDM framework. This work resolves a critical core-halo parameter degeneracy identified in Paper 7 by implementing the internally consistent soliton core radius scaling relation $r_c(M_h) = 1.5\text{ kpc} \times (M_h/M_{\text{crit}})^{0.5}$ alongside a physically motivated NFW concentration prior from cosmological simulations (Duffy et al. 2008).</p></p> <p>By stabilizing the halo environment without adding free parameters, the framework achieves an outstanding 68% success rate (RMSE &lt; 5 km/s) within the low-mass equilibrium domain ($V_{\text{flat}} &lt; 100\text{ km/s}$), up from the 36% baseline of Paper 7. The unphysical $c \to \text{limit}$ optimization divergence is drastically reduced from 45% to 14%. Furthermore, we explicitly introduce three formal falsification criteria (Tests A, B, and C) using the LITTLE THINGS catalog as an independent cross-validation dataset to test the predictive boundaries of the quantum/non-linear dark matter fluid equations.</p></p> <p>This record contains the complete theoretical manuscript (Paper 8 of the series) and outlines the verification pipeline required for independent replication.</p></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20278410 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Complete Rotation Curve Validation with Physically Motivated r_c Scaling: SPARC-42 Analysis + LITTLE THINGS Cross-Validation With Formal Falsification Tests (Tests A, B, C) Guerrero Diaz, Irvin Alexis LITTLE THINGS SPARC catalog Rotation Curves <p>We present a corrected and extended rotation curve analysis of 42 galaxies from the SPARC catalog using the Guerrero si-FDM framework. This work resolves a critical core-halo parameter degeneracy identified in Paper 7 by implementing the internally consistent soliton core radius scaling relation $r_c(M_h) = 1.5\text{ kpc} \times (M_h/M_{\text{crit}})^{0.5}$ alongside a physically motivated NFW concentration prior from cosmological simulations (Duffy et al. 2008).</p></p> <p>By stabilizing the halo environment without adding free parameters, the framework achieves an outstanding 68% success rate (RMSE &lt; 5 km/s) within the low-mass equilibrium domain ($V_{\text{flat}} &lt; 100\text{ km/s}$), up from the 36% baseline of Paper 7. The unphysical $c \to \text{limit}$ optimization divergence is drastically reduced from 45% to 14%. Furthermore, we explicitly introduce three formal falsification criteria (Tests A, B, and C) using the LITTLE THINGS catalog as an independent cross-validation dataset to test the predictive boundaries of the quantum/non-linear dark matter fluid equations.</p></p> <p>This record contains the complete theoretical manuscript (Paper 8 of the series) and outlines the verification pipeline required for independent replication.</p></p> |
| title | Complete Rotation Curve Validation with Physically Motivated r_c Scaling: SPARC-42 Analysis + LITTLE THINGS Cross-Validation With Formal Falsification Tests (Tests A, B, C) |
| topic | LITTLE THINGS SPARC catalog Rotation Curves |
| url | https://doi.org/10.5281/zenodo.20278410 |