This paper resolves the singularity paradox of legacy physics by applying theGeometric Foundation of Knowledge to a 4-dimensional relational architecture.Legacy physics predicts infinite density at the core of a black hole, representing amathematical breakdown. By defining the observable universe as a strictly con-strained 3-dimensional defect manifold (P4i=1 xi = 0), we demonstrate that blackholes are not infinitely dense objects, but macroscopic structural fractures. Utiliz-ing the framework’s seven-stage derivation template, the black hole is classified asa Critical Fracture Limit. When local curvature exceeds the absolute architecturalbound (κmax), the 3D manifold physically tears, severing local tangent vectors andfully exposing the region to the 4D orthogonal substrate.