The persistent rotation curve anomalies of galaxies present one of modern physics' most profound puzzles. Stars orbit galactic peripheries at velocities far exceeding Newtonian predictions based on visible matter alone, a discrepancy conventionally addressed by postulating vast halos of invisible dark matter. Meanwhile, the theoretical landscape remains fractured by the fundamental incompatibility between quantum mechanics and general relativity, particularly in extreme gravitational environments.This paper introduces Systemic Relativity & Logarithmic Gravity (SRLG), a theoretical framework that addresses these challenges through a single unifying principle: the scale-dependence of gravitational interactions. The core mathematical innovation is remarkably straightforward—a logarithmic modification to Newtonian gravity that causes gravitational force to decline more gradually with distance than the inverse-square law predicts:$$g_{text{log}}(r) = frac{GM}{r^2} times e^{-lambda log(r)}$$The distinguishing feature of SRLG is the system-dependent parameter λ, defined as the ratio of gravitational binding energy to Planck energy. This definition provides a physical basis for why gravitational behavior transforms across cosmic scales, with λ naturally increasing from negligible values at solar-system scales (λ ≈ 10^-38) to appreciable values at galactic scales (λ ≈ 10^-5).Rigorous analysis using 175 galaxies from the SPARC database demonstrates that SRLG reduces rotational velocity prediction errors by approximately 50% compared to Newtonian models without requiring dark matter. The framework also successfully models gravitational lensing in the Abell 2744 galaxy cluster with λ ≈ 0.26-0.32, producing observed lensing strength within 5-8% of measured values without dark matter components.The time-frequency dynamics incorporated in SRLG yields testable predictions for gravitational wave propagation, specifically a frequency-dependent phase shift potentially detectable by LIGO and LISA. This aspect of the theory may provide crucial insights into how gravity behaves in the strong-field regime, offering a bridge between quantum and relativistic physics. SRLG's connections to renormalization group approaches, black hole thermodynamics, and quantum gravity suggest it may be uncovering a fundamental pattern in nature's architecture rather than merely providing a convenient fitting function. By reconceptualizing gravity as a scale-dependent phenomenon, this work offers not only a potential resolution to the dark matter problem, but also a fresh perspective on the century-old quest to reconcile quantum mechanics with general relativity.