A Universal Gravitational Formula Unifying Dark Matter Phenomena and High-PrecisionTests ( version 2.0 )(including Quantitative Case Studies)

Update Note (May 2026):This version includes a detailed technical appendix featuring four quantitative case studies that verify the Unified Field Theory 2.0 framework:Hubble Tension: Resolving the 5σ discrepancy by accounting for the redshift-dependent evolution of Geff.Vacuum Catastrophe: Resolving the 120-order-of-magnitude energy density gap using the dynamical a₀(t) threshold.Mercury’s Perihelion Precession: Demonstrating strong-field consistency and the Vainshtein screening mechanism ($42.98''$ vs. $43.11''$ observed).Casimir Effect: Confirming the mechanical properties of the Space Medium at the quantum scale.All mathematical derivations and LaTeX source codes for these cases are provided for open scientific verification.