Physical Constant Constitutional: Analytical Solutions to 20 Fundamental Parameters and the Data Verdict

[Core Mandate] This paper formally inaugurates the era of "Geometric Arbitrating" in theoretical physics. We present the analytical fixed points for 20 critical physical constants, demonstrating that these values are not stochastic empirical parameters but Geometric Analytical Residues emerging from the projection of a five-dimensional non-commutative manifold.[Technical Mapping: 20 Fundamental Analytical Solutions] This work locks the analytical paths for the following 20 parameters, derived directly from first principles without any parameter fitting (Zero-Tuning): 1. Fundamental Flux Constants (6 items): Including the fine-structure constant $\alpha^{-1}$ (137.035999...), the weak mixing angle $\sin^2\theta_W$ (1/8 baseline), and the GUT coupling $\Omega_{GUT}$ ($\approx 0.0398$). 2. Mass Hierarchy & Damping (8 items): Including the Higgs mass $m_H$ (125.0934 GeV), the proton-to-electron mass ratio $m_p/m_e$ (1836.15267...), and the sum of neutrino masses $\sum m_\nu$ (0.058 eV). 3. Cosmological & Anomaly Verdicts (6 items): Including the Muon $g-2$ anomaly ($25.13274 \times 10^{-10}$), the LHCb $P_5'$ bias (exactly 12.5%), the cosmological constant $\Lambda$, and Planck scale corrections.[Sovereignty Declaration] Strata Physics rejects any form of empirical fitting or parameter tuning. Every value is derived as a geometric necessity from the source terms $8\pi$, $6\pi^5$, and $1/8$. We provide absolute fixed points rather than statistical error bars, asserting the total geometric rigidity of the physical constants.[Legal & Mathematical Grounding] The mathematical derivations and the non-commutative geometric framework supporting these verdicts are grounded in the previously anchored Volume II: Foundations of Strata Physics (DOI: 10.5281/zenodo.18972756).