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)

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). By stabilizing the halo environment without adding free parameters, the framework achieves an outstanding 68% success rate (RMSE < 5 km/s) within the low-mass equilibrium domain ($V_{\text{flat}} < 100\text{ km/s}$), 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. This record contains the complete theoretical manuscript (Paper 8 of the series) and outlines the verification pipeline required for independent replication.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-19
DOI
https://doi.org/10.5281/zenodo.20278409
Primary Topic
Dark Matter and Cosmic Phenomena
Type
preprint
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preprint

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)

Irvin Alexis Guerrero Diaz
Zenodo (CERN European Organization for Nuclear Research)
Dark Matter and Cosmic Phenomena
preprint

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)

Irvin Alexis Guerrero Diaz
preprint en

Abstract

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). By stabilizing the halo environment without adding free parameters, the framework achieves an outstanding 68% success rate (RMSE < 5 km/s) within the low-mass equilibrium domain ($V_{\text{flat}} < 100\text{ km/s}$), 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. This record contains the complete theoretical manuscript (Paper 8 of the series) and outlines the verification pipeline required for independent replication.

Zenodo (CERN European Organization for Nuclear Research)
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Dark Matter and Cosmic Phenomena
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