Cube-level dynamical coherence in dwarf galaxies: the fully relaxed endpoint of an empirical kinematic sequence

OverviewThis repository accompanies the study“Cube-level dynamical coherence in dwarf galaxies: the fully relaxed endpoint of an empirical kinematic sequence.”It contains the figures, tables, and numerical analysis outputs used in the manuscript. Scientific scopeThe work presents a direct, model-independent investigation of the kinematics of dwarf galaxies using HI spectral data cubes. The analysis probes dynamical coherence directly in phase space by operating on individual velocity channels of the observational data, without relying on moment maps, rotation-curve fitting, or assumptions about the underlying gravitational potential. MethodologyDynamical coherence is quantified through intensity-weighted centroid trajectories traced across velocity channels. These trajectories are projected onto the dominant image-plane axis, isolating intrinsic kinematic ordering while remaining independent of visual axis choices or plotting conventions. Key resultsSeveral dwarf galaxies exhibit near-maximal dynamical coherence, characterized by strictly monotonic centroid trajectories. Other systems, influenced by strong stellar feedback or diffuse low surface-brightness HI emission, show reduced but still significant coherence. Together, these results identify dwarf galaxies as the fully relaxed, low-velocity endpoint of an empirical kinematic sequence. ReproducibilityAll results are derived exclusively from publicly available observational data. This repository provides the processed figures, numerical summaries, and supporting documentation required to reproduce the cube-level analysis. Contextual Note (2026) Subsequent robustness and reconstruction-sensitivity analyses of the broader empirical dynamical-state construction are documented in: Riolo (2026), Systematic Stress-Testing of an Empirical Dynamical-State Observable in SPARC Disk Galaxies,DOI: https://doi.org/10.5281/zenodo.18653714 The present work should be read in the context of that later clarification regarding regime dependence and reconstruction-domain validity.