Unified Gravitational Phenomenology from χ-Mediated Wave Dynamics: A Five-Domain Synthesis

This repository contains the synthesis paper consolidating results from a multi-paper investigation of a χ-mediated wave-gravity framework tested across all major gravitational regimes. The underlying framework is governed by a single wave equation with a geometry-dependent parameter χ that controls propagation behavior and converges exactly to General Relativity in high-curvature and strong-field environments. The synthesis integrates evidence from galaxy rotation curves and velocity profiles, merger-scale gravitational displacement in galaxy clusters, and early-universe and strong-field consistency tests including Big Bang nucleosynthesis, CMB polarization, baryon acoustic oscillations, gravitational-wave propagation speed, and binary pulsar dynamics. All results are derived without invoking collisionless dark matter halos, per-system tuning, or additional dynamical degrees of freedom. Across the tested domains, the framework reproduces all established gravitational observables while deviating from General Relativity only in low-curvature, weak-field environments where gravitational anomalies are observed. Importantly, this work does not claim that dark matter particles do not exist; rather, it demonstrates that collisionless dark matter is not required to account for gravitational phenomena within the regimes tested to date. This synthesis paper serves as a unified entry point to the full series, providing a domain coverage matrix, consolidated validation architecture, explicit falsifiability criteria, and references to all supporting numerical and observational results.