BCT Letter 104: The Three-Body Problem from BCT Vacuum Topology — Topological Regularisation of Gravitational Chaos and Hopf Charge Conservation

The classical three-body problem is regularised by BCT lattice incompressibility imposing minimum separation r_min = R_BCT × l_P = 1.843 l_P. Trilinear gravitational coupling g₃ = α₀² × r_tet/r_oct = 2.98×10⁻⁵ derived with zero free parameters. Hopf stability criterion: H_system ∈ ℤ gives topological lifetime τ = t_U × exp(5329/n). Sun-Earth-Moon system explained as H=3 topologically locked configuration. Prediction #147: hierarchical triple stellar systems satisfying BCT Hopf criterion show anomalously long stability — testable with Gaia DR3. BCT SAR application to Machu Picchu subsurface mapping included. Zero free parameters.