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)
Year: 2026
Type: preprint
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.
Author: Guerrero Diaz, Irvin Alexis
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7161685747