Geometric Resolution of the Earth Flyby Anomaly: A Derivation of the Lattice-Drag Mechanism via Vacuum Topology

Description / Abstract: The Anomaly Since 1990, multiple spacecraft (Galileo I/II, NEAR, Rosetta) have exhibited unexplained asymptotic velocity shifts (Δ V_∞) during Earth gravity-assist maneuvers. This phenomenon, known as the Earth Flyby Anomaly, exceeds the frame-dragging effects predicted by General Relativity by four orders of magnitude (10⁻⁶ vs 10⁻¹⁰), leaving standard physics without a causal explanation and necessitating empirical fitting constants (Anderson et al., 2008). The Solution This paper presents the terminal geometric resolution of the anomaly based on the Unified Chronofractal Field Theory (UCF v9.8). We demonstrate that the Anderson constant K is not an arbitrary fitting parameter, but a precise dimensionless constant of vacuum topology determined by the mechanical coupling between the Earth's rotation and the vacuum structure. Key Derivation: The Lattice-Drag We posit that the vacuum behaves as a discrete, 14-mode crystalline lattice (Vector Equilibrium). A rotating mass induces a torsional stress in this lattice. Spacecraft traversing these field lines undergo a direct elastic momentum transfer. The coupling constant is derived purely from the ratio of Earth's rotational velocity (vᵣₒₜ) to the lattice propagation speed (c): KUCF = 2 · vᵣₒₜc The "Factor 2" Signature The integer factor 2 is identified as the physical signature of an elastic collision (Δ p = 2mv) against a rigid vacuum structure. This falsifies fluid-dynamic or thermal ether models and confirms the "Superfluid Solid" nature of the vacuum. Results The geometrically derived value (K ≈ 3.102 × 10⁻⁶) matches the observational best-fit (K ≈ 3.099 × 10⁻⁶) with $>99.9%$ precision. This identifies the Flyby Anomaly as the first macroscopic ("Meso-Scale") proof of discrete spacetime, serving as the mechanical link between Quantum-Scale friction (Muon g-2) and Cosmic-Scale expansion (Hubble Tension). This document serves as a specific proof-of-concept supplement to "The 11th Stone: The Final Audit of the Universe".