The Hypersonic Interception Paradox (A General Law for Ultra‑Fast Systems Under Severe Time Constraints)

In ultra-fast, high-uncertainty systems, the intuitive pursuit of increased discrimination and precision can paradoxically reduce overall system effectiveness. This work introduces the Hypersonic Interception Paradox, a general, execution-agnostic law of systems science.The paradox arises when the time required for analysis approaches the available action window: marginal gains in local accuracy induce decision delays that degrade global impact. Beyond a critical threshold, additional intelligence or analysis harms the overall system, favoring probabilistic coverage and satisficing control over target-level optimality.This paper formalizes the paradox with a convexity-based theorem, lemmas, and corollaries, providing:Existence and uniqueness of a critical analysis threshold.Conceptual trade-off curve illustrating global effect versus analysis time.A domain-independent law applicable to any ultra-fast system where phenomenon timescales are shorter than classical decision cycles.Potential applications include ultra-fast financial systems, real-time power-grid stabilization, emergency response coordination, adaptive multi-agent systems, and hypersonic defense scenarios.