Myo Min Aung Unified Theory (MUT) v7.12 presents a corrected analytical framework for modeling the rotation curve of the spiral galaxy NGC 3198 using the n-free Mass Curvature Rate (fmcr) formalism. Instead of introducing dark matter halos, the theory attributes the observed flat rotation curves to the spatial gradient of a resonance field �.The work establishes a physically consistent formulation where the additional gravitational acceleration arises from the gradient of the resonance field, �, rather than from a direct multiplicative modification of the Newtonian velocity term. This correction ensures dimensional consistency and aligns the model with classical force derivations where forces originate from potential gradients.Using SPARC observational rotation curve data, the study derives the resonance field profile �, computes the galaxy-specific mass curvature rate, and evaluates the predicted circular velocity profile. Numerical implementation in Python performs interpolation, numerical integration, smoothing, and chi-square statistical testing.Results show that the derived resonance field increases smoothly with galactic radius and produces the additional acceleration required to maintain the observed flat rotation curve of NGC 3198. The predicted velocities agree closely with observational data, yielding a reduced chi-square of 15.6 under the simplified exponential disk mass model.Importantly, the galaxy-scale mass curvature rate remains close to the proton-scale reference value, supporting the micro-to-macro consistency principle central to the MUT framework. This suggests that the resonance field may act as an effective alternative to dark matter in explaining galactic dynamics.The paper includes fully reproducible Python code and data export tools for generating publication-quality graphs with PGFPlots, enabling independent verification and further testing of the model.
Myomin Aung (Wed,) studied this question.