Myo Min Aung Unified Theory (MUT) v7.26 : Bridging Nuclear Binding Energy and Galactic Gravity through a Resonance Scalar Field

This research collection presents the Myo Min Aung Unified Theory (MUT), a comprehensive framework that bridges nuclear physics and galactic-scale gravity. The theory introduces a dimensionless nuclear resonance factor, φ, derived from nuclear binding energies, which is extended to a macroscopic scalar field (Φ) through a statistical coarse-graining procedure. Key highlights of the work include: Theoretical Foundation: The derivation of a scalar-tensor action from a non-relativistic many-body Hamiltonian of nucleons using Effective Field Theory (EFT) and Hubbard-Stratonovich transformation. Modified Gravity: In the weak-field limit, the theory yields a Yukawa-type modification of the gravitational potential, characterized by a universal length scale λ ≈ 7.1 kpc and an effective coupling ε ≈ 0.12. Empirical Validation: The framework successfully reproduces flat galactic rotation curves for 175 galaxies from the SPARC database without the necessity of dark matter, achieving a reduced χ^2 of 1.09 ± 0.08. Cosmology & Screening: The collection details the modification of Friedmann dynamics and the implementation of a density-dependent screening mechanism that restores General Relativity in high-density environments, ensuring consistency with solar system tests. This unified approach provides a physically motivated link between the fundamental structure of atomic nuclei and the large-scale dynamics of the universe.