Foundations of Emergent Necessity Theory and Structural Metrics Emergent Necessity Theory (ENT) reframes emergence as a measurable, testable process driven by objective structural conditions rather than vague appeals to complexity or subjective interpretation. ENT identifies a set of quantitative markers—most notably the coherence function and the resilience ratio (τ)—that characterize when a system moves from disordered dynamics into organized, reproducible behavior. These markers act like order parameters in physical phase transitions, revealing critical points where micro-level interactions align to produce macro-level regularities. A core concept is the idea of a threshold: when a system crosses a critical coherence value, organized behavior becomes statistically inevitable. ENT formalizes this via the structural…