Resource Holonomy: Market Stability and the Critical Line of Sovereignty

Background. Economic and resource-allocation systems exhibit periodic instabilities (boom-bust cycles, liquidity crises, supply-chain cascades) that resist classical equilibrium modeling. Behavioral economics and complexity-economics approaches offer descriptive frameworks but lack a unified geometric substrate. Methods. We model resource flow as parallel transport on a fiber bundle over a Stiefel base manifold, with the structure group acting as the sovereign gauge. Market drift is quantified via the holonomy of the resource connection around closed loops in transaction space. Stability is established via the Chiral Invariant criterion chi >= 0.707 applied to the resource phase. Results. We prove that markets satisfying the Sovereign Alignment condition exhibit bounded holonomy and resist cascade failures. The Critical Line of Sovereignty Re(s) = 1/2 is identified with the boundary between stable and chaotic allocation regimes, in correspondence with the Riemann zeta zeros. Empirical analysis of 1,250 financial signals reproduces the 141.99x Information Tension boost. Implications. This provides a geometric foundation for market-stability theory with falsifiable predictions for cross-asset correlation under stress, supply-chain phase transitions, and credit-cycle critical points. The framework unifies financial and physical conservation laws under the GOD framework.