Application 6.1 (Attack Diagnosis). Monitor local curvature deviations in real-time to detect selfish mining (negative curvature pockets) or 51% attacks (global curvature inversion).

Application 6.2 (Cross-Chain Bridges). A cross-chain bridge is a functor F: MC1 → MC2 that preserves curvature invariants, enabling secure asset transfer.

Prediction 6.3 (Post-Quantum Transition). A quantum break would appear as a sudden, global change in the metric tensor of MC, requiring a deformation to a new manifold with different curvature constraints (e.g., lattice-based).