Atomic Topological Coupling

This paper extends the Unified Loop Framework into the atomic domain, building on Phase 2's macroscopic atomic structure to test whether the framework's figure-8 atomic dynamics naturally reproduce the properties of gravity, magnetism, and cosmic shape. Fifteen claims are tested numerically with multi-seed reproducibility. Two atom clusters in the framework exhibit coupling that scales linearly with the product of their masses (correlation 0.96), is isotropic in spatial direction (CV 0.05), satisfies linear superposition in three-body configurations (ratio 0.89), and reproduces Newton's shell theorem (sphere acts like point mass at distance, ratio 1.22). The aggregate distance falloff over the framework's effective range matches gravity's inverse-square law at slope -2.08, while close-range single-cluster profiles show steeper dipole-like structure consistent with the bipolar figure-8 architecture. Curvature depth around a cluster scales linearly with mass at correlation 0.997, matching Einstein's prediction for the weak-field limit. When figure-8 axes are aligned, the framework produces a 3.3-fold parallel-axis enhancement (a magnetic-dipole signature), spheroidal cluster shapes (sphericity drops from 0.69 to 0.32), polar/equatorial field asymmetry up to 7.7-fold (a magnetosphere signature), and downstream field elongation by 1.60-fold under cosmic wind (a magnetotail signature). The framework also explains why plasma and ionized gas always co-travel: heavy and light atoms are topologically coupled within the same figure-8 architecture and cannot separate within the field structures they create together. Three honest limitations are acknowledged.