Myominaung Unified Theory (MUT) v4.3: MATE Master Equation Proofs

Myominaung Unified Theory (MUT) v4.3: MATE Master Equation Proofs presents a comprehensive proof-based validation of the MATE Master Equation, which serves as the mathematical backbone of MUT v4.0. This paper derives and demonstrates the consistency of the MATE formalism across physical scales, ranging from atomic resonance and mass manifestation to gravitation and cosmological phenomena.Key results include the derivation of the Law of Mass Manifestation, hydrogen atom stability via Rydberg frequency convergence, a scalar-frequency reinterpretation of universal gravitation, and the determination of the fundamental ground frequency. The paper further verifies the internal consistency of Awareness Velocity and the universal scaling factor across nuclear, planetary, and cosmological regimes.Rather than introducing new theoretical assumptions, v4.3 functions as a formal proof companion to MUT v4.0, explicitly showing how atomic structure, gravity, galactic dynamics, and large-scale cosmology emerge from a single master equation. Together with v4.1 and v4.2, this work completes the proof layer of the MUT framework.