Co(Finance): Continuity Geometry of the Financial Substrate

Finance is commonly treated as a market system, an institutional network, or an economic mechanism. This paper reconstructs finance as a continuity geometry domain whose purpose is to preserve sovereign economic identity across time. Using Decision Continuity Engineering (DCE) and the Cyber – Fusion » QC(F) substrate, the paper defines finance in terms of identity geometry, invariance geometry, curvature geometry, and continuity geometry. It introduces Co(Finance) as the unified continuity function of the domain and positions Sīnotěs‑F as the quantum‑grade continuity engine for systemic financial coherence. The paper shows how finance fails when identity breaks, invariants collapse, and curvature escalates across informational, institutional, systemic, and sovereign layers. It then demonstrates how continuity geometry and DCE can redesign finance as a substrate that preserves sovereign economic identity across liquidity motion, risk propagation, institutional transitions, and market instability.