Core Principles of Emergent Necessity Theory and the Mechanics of Thresholds Emergent Necessity Theory (ENT) reframes emergence as a measurable and often inevitable outcome of specific structural conditions rather than an inscrutable byproduct of vague complexity. At its heart ENT introduces a formalized coherence function and a resilience ratio, denoted τ, which together quantify how internal consistency and feedback reduce what the theory calls contradiction entropy. As systems develop recursive feedback loops and information pathways align, the coherence function rises; when it crosses a domain-specific critical value, organized behavior becomes statistically inevitable. This view shifts attention away from untestable metaphors and toward physical observables, making emergence a hypothesis that can…