Topological Correction of Gravitational and Energetic Systems: Four-State Ψ Convergence Regime and the Full Failure Boundary of Einstein's Equations

Modern physical frameworks developed from general relativity and mass-energy equivalence deliver precise outcomes within local low-dimensional flat space. Nevertheless, they generate systematic deviations, reversed physical responses and thorough theoretical breakdown when extended to holistic cosmic topological structures. Grounded on PFUS Universal Steady-State Regime together with coaxial nested three double-cone topology, this research constructs a full classification system of spatial convergence coefficient Ψ. Four distinct physical modes are defined, including low-dimensional approximation mode, high-dimensional over-convergence mode, negative reverse core mode and topological zero shielding mode. This paper defines explicit failure scopes of Einstein’s classical equations, and rebuilds gravitational expressions, energy correlation functions and revised curvature tensor formulas compatible with topological characteristics. Conventional physics treats spacetime as a passive background carrier, while PFUSR theory interprets cosmic physical phenomena as derived results evolving from topological convergence fluctuation. Classical physical regulations are merely approximate solutions applicable to low-dimensional conditions. Complete cosmic physical laws incorporate convergence amplification, extreme state inversion and topological shielding blank effect. The newly defined Ψ=0 shielding state accounts for light vanishing, electromagnetic signal interruption and physical rule disappearance, which cannot be explained by relativity and quantum mechanics. This research resolves long-standing contradictions concerning gravitational anomaly, hypothetical dark matter effect, cosmic expansion singularity and abnormal flight stealth feature. A logically self-consistent universal topological physical system is established accordingly.