UDCT v2.6.3: Advancing Higgs Hierarchy Stabilization with Memory Kernel in Geometric Back-Reaction

This technical note presents UDCT v2.6.3, which systematically investigates the dependence of late-time stabilization on the memory time scale τ within a refined implementation of the exponential memory kernel. Through extensive numerical simulations on N=64 lattices with n_seeds=5, we demonstrate that the late-time effective mass m_eff exhibits a clear non-monotonic dependence on τ. The strongest stabilization occurs at relatively short memory time scales (τ ≈ 20–100), yielding up to approximately 55% lower m_eff at 300 simulation steps compared to the no-memory baseline. This upload includes:- The full technical note (PDF)- A fully reproducible standalone Python code (UDCT_v263_Dense_Tau_Scan.py)- README with usage instructions The code allows reproduction of all figures and Table 1 presented in the paper.