A Universal High-Energy Suppression Law: Interwoven Mechanisms and Cross-Domain Evidence

A universal "fade-out" at high energies follows a 1/E^2 pattern, observed consistently across gravitational waves, particle scattering, optical resonances, and quantum coherence experiments. We delineate four foundational mechanisms-analytic continuation, field-theoretic scaling, statistical entropy, and geometric/holographic frameworks-whose mathematical coherence and distinct physical contexts inter-link to yield the 1/E^2 suppression law. Each mechanism's validity is confirmed through rigorous empirical evidence and theoretical justification. We further refine the suppression scale E0 as an emergent function of system entropy density and degrees of freedom (see Box 1), acknowledge known scope limitations, and outline falsifiable predictions for upcoming CMB-S4 and GHz decoherence tests.