v1.1 Two-Scale Dynamics in Galaxy Rotation Curves: Universal Structure and a Central Dynamical Superstructure in SPARC

This Zenodo archive contains the complete materials associated with the study “Two-Scale Dynamics in Galaxy Rotation Curves: Universal Structure and a Central Dynamical Superstructure in SPARC”. The work presents a fully empirical analysis of galaxy rotation curves based on the SPARC database, applying t (TCT-FRANJAMAR) framework to reconstruct the missing–velocity field without assuming parametric halo models or modified–gravity prescriptions. The main results are: (i) the recovery of a robust universal large-scale missing–velocity profile once rotation curves are expressed in units of disk scale length; (ii) the identification, through systematic residual analysis, of a compact and highly localized central dynamical superstructure common to disk galaxies; (iii) the demonstration that this central component emerges only beyond a well-defined dynamical threshold and produces systematic improvements in fit quality; and (iv) the confirmation, via extensive null tests, bootstrap resampling, shuffling experiments, and forward simulations, that both the universal and central components represent genuine dynamical structures rather than artifacts of noise, sampling, or fitting degeneracy. This archive includes the full manuscript, appendix, and the complete analysis pipeline required to reproduce all reported results, together with documentation and reproducibility scripts. Raw input data from the SPARC database are publicly available but are not redistributed in this archive due to licensing conditions and must be obtained independently from the original source. If you use this material or have questions, comments, or potential extensions, feel free to contact me at: [email protected] Related work:While the present study focuses on galaxy-scale dynamical structure, a complementary work develops the underlying multiscale geometric framework at cosmological scales, providing a unified interpretation of redshift, observability horizons, and mass emergence: FRONTIER: Reproducible Multiscale Pipeline for Redshift Structure in Pantheon+ and Quasar Variability https://doi.org/10.5281/zenodo.18525195