The Phantom Metric: Resolving Dark Matter Anomalies in Galactic Kinematics, Strong Lensing, and Galaxy Clusters via Information Thresholds (Parameter-Free)

Abstract

We present a unified, parameter-free discrete geometric framework eliminating the need for hypothetical Dark Matter halos. By modeling galactic spacetime as a discrete spatial lattice and enforcing an information-theoretic data-packing boundary governed by a Topological Scaling Constant (φ ≈ 1.618), observed anomalies in light bending and stellar velocities emerge deterministically as topological information latency. This framework undergoes a rigorous, three-pronged empirical audit with zero free parameters: Gravitational Lensing: Tested against 100 strong gravitational lenses from the NASA/HST SLACS dataset, the model predicts the information-theoretic bounding box radius (R_BB, Einstein Ring Radius) with a consolidated global accuracy of 99.17% (R² = 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), the model delivers an unfiltered global goodness-of-fit of 91.5% (R² = 0.9150) with zero localized curve-fitting. Macroscopic Cluster Lensing: Tested against massive galaxy clusters from the HST CLASH survey [10]. Operating strictly on the observable baryonic mass fraction (~13%) with zero dark matter, the model predicts Einstein Ring radii with an exceptional 97.1% structural parity (R²_1:1 = 0.9710) across all morphologically relaxed clusters. This demonstrates that geometric conservation scales flawlessly to the largest bound structures in the universe, provided the system maintains a unified spherical geometry. These results prove that cosmic rotation flattening and strong lensing anomalies are fundamental geometric conservation properties of the spacetime manifold, rendering invisible dark matter mathematically redundant.