General relativity is conventionally understood as a geometric theory of spacetime curvature sourced by matter-energy. This paper proposes an alternative interpretation grounded in the contological framework (C1–C5) and its mathematical topology companion. We show that: (1) special relativity emerges at the boundary between C2 (space as lattice) and C3 (matter as braids), with the invariant speed cc arising from topological constraints on exchange morphisms; (2) general relativity emerges at C4