The Structural Resolution of Singularities

The Structural Resolution of Singularities develops a generative framework that replaces the pathological divergences of general relativity with a finite, mode‑based architecture. Instead of treating singularities as physical infinities or breakdowns of spacetime, the paper models them as points where the mode‑interaction tensor loses rank and a configuration ceases to be generable. Using five fundamental structural modes—Binding, Twist, Flow, Curvature, and Ordering—the analysis constructs the generability condition, examines collapse behavior, and identifies the precise structural transitions that mimic singular behavior in classical geometry. The result is a coherent, non‑divergent account of gravitational collapse that restores physical continuity and situates singularities within a broader generative architecture of the universe.