Myo Min Aung Unified Theory (MUT) v7.28 : Complete Series (Parts I–V)

This collection presents the complete Myo Min Aung Unified Theory (MUT) v7. 28, a comprehensive framework that unifies nuclear physics, modified gravity, cosmology, atomic physics, and quantum gravity through a single scalar field derived from nuclear binding energies. The theory starts from the nuclear resonance factor φ = 1 – B/ (n mₚ c²) and, via statistical coarse‑graining, obtains a macroscopic scalar field Φ that is non‑minimally coupled to gravity. The weak‑field limit yields a Yukawa modification of gravity with a universal length scale λ = 7. 1 kpc, which reproduces flat galactic rotation curves without dark matter. Cosmological equations are consistently modified, and a chameleon‑like screening mechanism ensures agreement with solar‑system tests. An effective field theory motivation links the scalar parameters to nuclear matter properties. A first‑principles derivation of the fine‑structure constant shows that α = √ (mₚ/ (κ mₑ) ) with κ = 3. 448×10⁷ emerging as an eigenvalue of the MCR field equation. Renormalization group analyses with and without gravitational corrections demonstrate the technical naturalness of the small scalar mass. A framework for computing the MUT parameters directly from the nuclear equation of state is presented. The theory also addresses five great problems of fundamental physics: dark matter and dark energy are unified as the same scalar field, black hole singularities and the information paradox are resolved by a finite core, the Big Bang singularity is replaced by a bounce, a possible mechanism for baryogenesis is outlined, and quantum gravity is approached via scalar‑tensor unification. The collection includes 100 postdiction tests (87 successes, 8 partial, 5 failures) and a set of testable predictions for gravitational waves, atomic clocks, CMB B‑modes, large‑scale structure, and fast radio bursts. All fourteen parts are included: - Part I: Coarse‑graining derivation (φ → Φ) - Part II: Dynamics, rotation curves, cosmology, screening- Part III: Effective field theory motivation for parameters- Part IV: Complete monograph (Parts I–III) - Part V: First‑principles derivation of the fine‑structure constant- Part VI: Renormalization group flow (flat space) - Part VII: Cosmological constraints and tensions (lithium, H₀, S₈) - Part VIII: Renormalization group flow with non‑minimal coupling- Part IX: From nuclear equation of state to MUT parameters- Part X: Testable predictions (gravitational waves, atomic clocks, etc. ) - Part XI: Integration with PRD‑AGI causal AI engine- Part XII: Early universe phenomenology (inflation, reheating, gravitational waves) - Part XIII: Experimental designs for testing MUT- Part XIV: MUT and the five great problems of fundamental physics All equations maintain rigorous dimensional consistency in SI units. The documents are formatted in PRD (Physical Review D) style and include Python verification code and TikZ figures. The complete LaTeX source is available as supplementary material. This collection is the definitive reference for MUT, providing a unified, testable, and mathematically consistent description of physics from nuclear scales to the cosmos.