History-Dependent Gravity LXV: Reproducible Code and Data

Abstract

History-Dependent Gravity LXV: Reproducible Code and Data This repository contains the complete numerical pipeline and data underlying the paper "History-Dependent Gravity LXV: Emergent Infrared Memory Scale and Parameter-Free Gravitational-Wave Phase Drift from Functional Renormalization Group Flow" by A. Gimranov (2026). We provide a full Python implementation of: FRG spectral flow solver — numerical integration of the spectral renormalization group equation including tadpole and sunset contributions, with mass-type and Litim regulators Universality tests — three distinct UV initial conditions (narrow peak, broad distribution, double peak) demonstrating convergence to a universal IR attractor Nonlocal kernel reconstruction — position-space memory kernel K(r) from the IR spectral density LISA phase drift computation — parameter-free prediction of gravitational-wave phase drift via Stieltjes transform of ρ(μ), including cosmological accumulation and inspiral weighting Scaling invariance tests — verification that signal morphology is independent of overall normalization A_FRG All figures from the paper (Figs. 1–4) are generated directly from this code. The pipeline is self-contained, requires only standard scientific Python libraries, and reproduces all numerical results to publication precision. Main physical result: We demonstrate numerically that the FRG flow generates a universal infrared spectral structure at a dynamically emergent scale μ_peak, which maps directly to a characteristic frequency in the LISA band and produces O(0.1–1) radian phase drift for massive black-hole binaries at z ~ 1, without phenomenological parameter tuning. This is Paper LXV in the History-Dependent Gravity series (Papers I–LXIV available at Zenodo).