The Phantom Metric: Resolving Dark Matter Anomalies in Galactic Kinematics and Lensing via Parameter-Free Information Thresholds

Abstract

We present a unified, parameter-free discrete geometric framework that eliminates the necessity of hypothetical Dark Matter halos across macro-scale astrophysical systems. Rather than superimposing arbitrary spherical mass distributions onto flat cosmic structures, we model galactic spacetime as a discrete spatial lattice (NavMesh). By enforcing an information-theoretic data-packing boundary (Memory Pack Limit) derived from the asymmetric scale-invariant properties of the Golden Ratio (𝜑≈1.618), the observed anomalies in light bending and stellar velocities emerge deterministically as a topological information latency (Rendering Loop Execution Delay).This unified framework is subjected to a two-pronged empirical audit: Gravitational Lensing: Tested against 100 strong gravitational lenses from the NASA/HST SLACS dataset, the model predicts the information-theoretic bounding box radius (𝑅𝐵𝐵, Einstein Ring Radius) with a consolidated global accuracy of 99.17% (𝑅^2=0.9917). Galactic Kinematics: Tested against 100% of the SPARC database spanning 3,391 spatiotemporal measurement points across all 175 Late-Type Galaxies (LTGs). Locking the universal stellar mass-to-light ratio (Υ* = 0.46) and treating the Empirical Minimal Acceleration Threshold (a_0 = 1.12879 × 10^-10 m/s^2) as a systemic informational bottleneck (Hardware Latency Threshold), the model delivers an unfiltered global goodness-of-fit of 91.5% (R^2 = 0.9150) with zero localized curve-fitting or data pruning. These results demonstrate that cosmic rotation flattening and lensing anomalies are geometric conservation properties of the spacetime manifold itself, rendering invisible dark matter configurations mathematically redundant.