Mass-Ordered Structural Sequence in Galaxy Rotation-Curve Residuals

This project contains the data products, analysis scripts, and documentation for the study titled "The Mass-Ordered Structural Sequence in Galaxy Rotation-Curve Residuals." The work introduces a new empirical finding: residuals between observed circular velocities and mass-model predictions form a coherent, low-dimensional structural sequence that is strongly ordered by galaxy mass-related properties. The project includes: - Structural labels for all galaxies in the SPARC sample - PCA coordinates and residual deformation metrics - Regime assignments (A-D) based solely on residual structure - Correlation tables linking structural regimes to physical galaxy parameters - Figures, plots, and schematic diagrams used in the manuscript - Analysis scripts for reproducing the PCA manifold, deformation index, Fourier power, anomaly score, and regime classifier - Documentation describing the hybrid structural-lattice framework and structural energy functional The goal of this project is to provide a fully reproducible workflow for identifying and analyzing the mass-ordered structural sequence in disk galaxy rotation-curve residuals. All materials are suitable for open archiving and DOI registration. Users are encouraged to cite both this project and the original SPARC publication when reusing the data or derived products.