Deep-Time Stability of the Higgs Vacuum: A 13.5-Billion-Year Non-Perturbative Cosmological Simulation

This work presents a full-scale, non-perturbative simulation of Higgs-vacuum stability across a 13.5-billion-year cosmological timespan. The analysis integrates vacuum-energy fluctuations, dark-matter gradients, dark-photon coupling, scalar-field decay pathways, gravitational-wave flux, and electroweak instability nodes into a unified tensor-evolution framework. Across 540 million integration steps, the system exhibits persistent long-term Higgs-field stability, with no signatures of metastable drift, false-vacuum decay, or catastrophic divergence. Fine-mesh mapping reveals coherent dark-sector structuring and stable vacuum-energy gradients throughout the cosmological interval. This study provides one of the most detailed long-duration reconstructions of Higgs-vacuum behavior produced outside collider-scale physics environments. The results suggest that dark-sector interactions may play a significant role in maintaining large-scale vacuum equilibrium across cosmic history.