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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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A Deterministic Explanation of Galaxy Rotation Without Dark Matter in the MMA-DMF Framework

Authors: Adriano, Paulo Jorge;

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

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.

Keywords

galaxy rotation curves; baryonic Tully–Fisher relation; dark matter alternatives; modified gravity; active vacuum hydrodynamics; ALFALFA; SPARC; ultra-diffuse galaxies; dwarf spheroidals; generalized Langevin equation.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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