Myo Min Aung Unified Theory (MUT) v7.30.1: First‑Principles Derivation from QCD to Cosmic Gravity – Complete Supplement (First‑Principles Papers, Gap Analysis, and Verification Codes)

This collection contains the complete set of first‑principles derivation papers and supplementary analyses for the Myo Min Aung Unified Theory (MUT) v7. 30. It provides the detailed QCD‑to‑gravity derivation that underpins the scalar field Φ, along with numerical validations and explicit treatments of three critical gaps (Galactic rotation curves, CMB/large‑scale structure, and gravitational wave speed). The material is designed to accompany the main MUT v7. 30 monograph (Parts I–XX) and is intended for readers seeking a deeper mathematical and computational understanding. **Contents** 1. **MUTFirstPrinciplesᵥ2. pdf** – Full derivation chain: QCD → Chiral EFT → nuclear resonance factor φ → coarse‑graining → one‑loop effective action → scalar‑tensor gravity → RG flow → Yukawa acceleration → SPARC fit → screening → cosmology. Includes explicit Matsubara sums, Feynman diagrams, and derivative expansion coefficients. 2. **MUTFirstPrinciplesᵥ3. pdf** – Extended version with additional sections on large‑Nc expansion, technical naturalness, and a detailed one‑loop perturbative RG estimate. All equations are derived with full dimensional consistency. 3. **MUTFirstPrinciplesᵥ4withfigures. pdf** – Illustrated version containing all figures (φ vs A, RG flow schematic, rotation curves, Yukawa profiles, CMB constraints, GW speed comparison). Figures are generated from the provided Python scripts. 4. **MUTᵥ5Gap345. pdf** – Comprehensive analysis of three key observational tests: - **Gap 3**: Global fit of MUT to 9 representative SPARC galaxies, comparison with Newtonian and MOND models (χ² statistics). - **Gap 4**: Effects on CMB peak positions, sound horizon, scale‑dependent growth, and RSD predictions; demonstration of consistency with Planck 2018 data. - **Gap 5**: Tree‑level gravitational wave speed (cT = c exactly) and modified GW luminosity distance; compliance with GW170817 constraints. 5. **MUTfigurescode. py** – Python code that generates all figures from the first‑principles papers (rotation curves, Yukawa enhancement, RG flow, φ distribution, etc. ). Includes commented sections for reproducibility. 6. **MUTgap345code. py** – Python code for the Gap 3–5 analysis: SPARC rotation curve fitting, CMB peak shift calculation, scale‑dependent μ (k), GW speed comparison, and statistical summaries. All units are verified and results are numerically reproducible. All documents are formatted in PRD (Physical Review D) style and include full bibliographies. The derivation is presented as a “first‑principles motivated effective field theory” – the RG flow from nuclear to galactic scales remains an open problem, but every other step is derived from QCD with no free parameters. The code is open‑source and ready to run with standard Python libraries (numpy, scipy, matplotlib). This collection is the definitive supplement to the MUT v7. 30 monograph and provides all the mathematical and computational details required for independent verification.