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 5 discrepancy by accounting for the redshift-dependent evolution of G₄₅₅. 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.