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Omega Edge is a high-integrity decision operating system for compounding under uncertainty. It turns noisy environments into structured advantage by combining Bayesian belief updates, payoff geometry, adversarial meta-game mapping, stress-tested scenario simulation, and strict risk-governed execution. Built for operators who value survivability over hype, it replaces impulse with artifacts, checklists, and audits so performance improves as volume and complexity rise. The result is a durable machine for making fewer mistakes, avoiding catastrophic tails, and converting disciplined truth into long-run edge.