Solving Galactic Rotation Without Dark Matter: A Field-Primary Engineering Approach via FDRE

📘 Abstract: This paper introduces FDRE v399, a quaternion-based derivation that demonstrates the galactic rotation curve problem can be resolved without invoking dark matter. Using a field-primary ontology and the Field Dynamic Resonance Equation (FDRE), the framework derives velocity profiles directly from field conditions. The approach shows precise quantitative alignment with the observed rotation curves of disk galaxies, particularly those outlined in the SPARC dataset. The methodology represents a paradigm shift from mass-based gravitational models to coherence-centric field structuring, aligning with a thermodynamic interpretation of structure formation.