Numerical Investigations of the 1/E^2 Quantum Suppression Principle: Implications for Gravitational Physics

We report on a comprehensive set of numerical simulations exploring an energy-dependent gravitational coupling inspired by the 1/E^2 quantum suppression principle. In this framework, the Newtonian constant G is replaced by an effective coupling given by G_eff(E) = G * [1 - (E0^2)/(E^2 + E0^2)], where E denotes a local energy scale and E0 is a characteristic threshold near the Planck energy. Using a modified numerical relativity code, we examine three critical regimes: Black Hole Formation: Simulations show that classical singularities are avoided once energy densities approach the Planck scale; instead, gravitational collapse stabilizes into a high-density core. Gravitational Waves: Above roughly 500 Hz, the damping effect on wave amplitudes becomes significant. Our results predict detectable amplitude reductions of 20–45% in next-generation detectors, offering a clear signature of energy-driven quantum corrections. Primordial Cosmology: When applied to the early universe, the model suggests a mild yet testable suppression of cosmic microwave background fluctuations at high multipoles (ℓ>1800ℓ>1800). Ongoing and upcoming CMB experiments can probe or constrain these deviations. Taken together, these findings support the feasibility of a 1/E^2 quantum suppression mechanism across multiple energy scales, from black hole interiors to cosmological observables. They also provide concrete observational targets—such as high-frequency gravitational wave measurements and precise small-scale CMB data—that could confirm or rule out this simple but unified approach to quantum corrections in gravity.