What question did this study set out to answer?

To provide a deterministic framework for understanding galaxy rotation curves without dark matter.

March 6, 2026Open Access

A Deterministic Explanation of Galaxy Rotation Without Dark Matter in the MMA-DMF Framework

Key Points

To provide a deterministic framework for understanding galaxy rotation curves without dark matter.
Utilized the MMA-DMF framework for analyzing a cohort of 15,605 galaxies from the ALFALFA-40 survey.
Predicted a baryonic Tully-Fisher relation logarithmic slope of 4.0 without dark matter.
Implemented a rigorous data-hygiene process to filter observational pathologies in a separate dataset of 11,521 galaxies.
Ensured quality assurance through an audited pipeline method, resulting in minimal residual failures.
Achieved a residual scatter of 4.52% in predicting galaxy rotation in low-acceleration environments.
Resolved UDG dichotomy through deterministic environmental screening.
Maintained only 0.16% of galaxies as unresolved, providing a clear public quality-assurance record.

Abstract

Galaxy rotation curves and the baryonic Tully–Fisher relation (BTFR) are routinely described in the cold-dark-matter paradigm by fitting galaxy-specific halo profiles, effectively introducing thousands of local degrees of freedom (DOFs) beyond the small number of cosmological parameters. This paper presents the deterministic, 0-pDOF MMA-DMF framework and its audit-grade pipeline for galaxy kinematics. Using a strict edge-on cohort of 15,605 targets from the ALFALFA-40 survey (filtered for morphological reliability, Pedge ≥ 0.80), MMA-DMF predicts a BTFR logarithmic slope of 4.0 without invoking dark matter and achieves a residual scatter of 4.52% in the extreme low-acceleration regime, providing a deterministic, geometric resolution to the fine-tuning problem of the disk-halo relation—without invoking dark matter. Processing a separate, unfiltered HI-selected dataset of 11,521 targets through a rigid sequence of data-hygiene gates quarantines known observational pathologies—face-on systems, active starburst feedback, truncated profiles, and photometric stellar-mass systematics—without allowing any per-galaxy tuning. The final audited pipeline yields NPASS = 2,073, NDATA-REQUIRED = 9,430, and an irreducible residual of NFAIL = 18 (0.16%) retained as a public quality-assurance record. The UDG dichotomy is resolved deterministically through environmental screening, and non-equilibrium systems (e.g., NGC 3109) are handled via a locked scalar memory integrator derived from the Generalized Langevin Equation.

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