Embedding Energy-Suppression in Einstein's Equations: Numerical Relativity and Cosmology

  1. Dustyn Stanley
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Abstract

We implement an energy-dependent gravitational coupling, G_eff(E) = G0 / f(E), f(E) = 1 + (E/E0)^2 directly into Einstein’s field equations and explore numerical consequences in black-hole collapse, gravitational‑wave emission, and early‑universe cosmology. Using customized extensions of the Einstein Toolkit and GRChombo, we perform convergence‑verified simulations. Our results demonstrate natural singularity avoidance, a 20–45% high‑frequency GW amplitude suppression (500–1000 Hz), and an 8–12% power deficit in CMB anisotropies at ℓ > 1800, with uncertainties and parameter sensitivity documented.

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  1. Version published to 10.31219/osf.io/k8wc9_v1 on OSF Preprints