Geo Drift Field Theory without dark Matter

This work presents the Geodrift Field Theory as a nonlocal extension of general relativity that reproduces gravitational phenomena without invoking dark matter. The theory introduces a scalar field \(\phi\) coupled to curvature and topological terms, generating a memory-like gravitational response across spatial scales. We apply the framework to a wide range of astrophysical and cosmological datasets—including galactic rotation curves (SPARC), cluster mergers (Bullet Cluster, Abell 2142), and strong lensing systems (HerS-3, Abell S1063)—using SPH/N-body and ray-tracing simulations. The nonlocal kernel \(K(r)\) amplifies baryonic mass distributions, yielding effective gravitational potentials consistent with observations. Fit quality across datasets ranges from \(\chi^2/\text{dof} = 1.06\) to \(1.18\), matching or outperforming \(\Lambda\)CDM and MOND. The theory predicts specific gravitational wave signatures (e.g. a peak at 14.3 nHz in PTA data) and offers falsifiability via JWST, LISA, and SKA. We conclude that Geodrift provides a unified, testable alternative to particle dark matter, grounded in topologically quantized, nonlocal gravitational dynamics.本研究提出地漂移场论（Geodrift Field Theory），作为广义相对论的非局域推广形式，该理论无需引入暗物质即可重现引力现象。该理论引入一个与曲率及拓扑项耦合的标量场（scalar field），可在不同空间尺度上产生类记忆引力响应。我们将这一框架应用于多类天体物理学与宇宙学数据集——包括星系旋转曲线（SPARC）、星系团并合事件（子弹星系团（Bullet Cluster）、阿贝尔2142）以及强引力透镜系统（HerS-3、阿贝尔S1063），并结合光滑粒子流体动力学/多体（SPH/N-body）模拟与光线追踪模拟开展分析。非局域核（nonlocal kernel）可放大重子质量分布，得到与观测结果一致的有效引力势。各数据集的拟合优度范围为χ²/dof = 1.06至1.18，其表现优于或等同于Λ冷暗物质模型（ΛCDM）与修正牛顿动力学（MOND）。该理论还预言了特定的引力波特征，例如脉冲星计时阵列（PTA）数据中14.3 nHz处的峰值，并且可通过詹姆斯·韦布空间望远镜（JWST）、激光干涉空间天线（LISA）以及平方公里阵列射电望远镜（SKA）实现可证伪性检验。综上，地漂移场论为粒子暗物质提供了一种统一且可检验的替代方案，其理论基础为拓扑量子化的非局域引力动力学。