Myo Min Aung Unified Theory (MUT) v7.0: Universal Mass Curvature Rate (fMCR) as a Fundamental Constant

Myo Min Aung Unified Theory (MUT) v7.0 proposes the Universal Mass Curvature Rate (f_{\text{MCR}}) as a fundamental constant governing the emergence of physical mass. Earlier versions of MUT (v6.x) modeled nuclear masses using resonance factors derived from nuclear binding energy. While numerically accurate, that approach contained circular dependencies because the resonance factor was partially derived from experimental mass data. Version 7.0 resolves this limitation by returning to first principles and defining a curvature rate directly from measured nuclear masses and nucleon counts. Analysis of 2,545 isotopes from the AME2020 atomic mass database reveals that this curvature rate converges to an approximately universal value of about 1.79 \times 10^{35} meters per kilogram per second, with extremely small fluctuations on the order of 0.046 percent. These small variations correlate with known nuclear shell structures and magic numbers, suggesting that nuclear binding energy can be interpreted as a geometric resonance phenomenon of spacetime curvature rather than a separate interaction. Within this framework, mass is not treated as a fundamental intrinsic property. Instead, it emerges from the resonance of spacetime geometry associated with nucleon configurations. The curvature rate therefore acts as a conversion relationship between nucleon number and observed physical mass. The theory also establishes a connection between this curvature rate and the Planck scale. The proton mass can be interpreted as a Planck-scale curvature suppressed by a factor of roughly 7.68 \times 10^{-20}, offering a geometric perspective on the hierarchy problem that explains why gravity is dramatically weaker than other fundamental interactions. MUT v7.0 therefore provides a dimensionally consistent framework linking nuclear physics, particle mass generation, and Planck-scale physics through a single universal curvature-rate constant.