Unitarian Galactic Dynamics proposes that gravitational effects in galaxies arise from an emergent discrete gradient field (a 'pulse field') rather than particle dark matter. The model derives a functional form for rotation curves v (r) = C · (r / rₛcale) · log (1 + rₛcale / r) that naturally reproduces the observed rising-then-flattening shape without invoking dark matter halos. This deposit contains the complete exploratory research program: full derivation, Python analysis toolkit, numerical results for SPARC galaxies, 140 fit figures, and honest reporting of both successes and limitations. The model outperforms the Burkert profile on selected galaxies (e. g. , NGC 2403, NGC 6503) but shows overall higher χ² values, highlighting the need for a first-principles derivation of the rₛcale parameter. Data is based on the public SPARC database. All methods, code, data, and failures are openly shared in the spirit of transparent science. This is not a finalized theory but a falsifiable research program with clear future directions. "
Damir Duvnjak (2026) studied this question.