Structural Emergence of Intelligence (SEI) v2.2: A Unified, Minimal, and Falsifiable Theory of Intelligence Across Natural and Artificial Systems

Description Structural Emergence of Intelligence (SEI) v2. 2 presents a unified and quantitative framework in which intelligence is not treated as a domain-specific phenomenon, but as a scale-invariant structural emergence governed by general constraints. The central result is a minimal and directly testable condition: C · Γ · dSC/dt > Θ (E, S, T) where: C: effective structural density Γ: fixation / stabilization dSC/dt: persistence of structured organization Θ (E, S, T): context-dependent emergence threshold This work introduces three key concepts: Structural Emergence Window (SEW) Intelligence emerges only within a bounded region of structural balance in (C, Γ, dSC/dt) space. Dual-Regime Threshold ModelThe emergence threshold diverges at both low and high environmental complexity, implying that intelligence cannot arise from insufficient or excessive structural conditions. Nonlinear Scaling of IntelligenceIntelligence is not a monotonic function of size or capacity, but arises only within a constrained structural regime. The emergence behavior can be interpreted through an effective ratio between structural organization and threshold: C · Γ · dSC/dt / Θ (E) where Θ (E) represents a reduced projection of the full threshold Θ (E, S, T). This formulation clarifies that apparent one-dimensional threshold behavior (e. g. , as a function of environmental complexity alone) is a lower-dimensional projection of a fundamentally higher-dimensional structural constraint. The framework unifies natural systems (galactic, planetary, biospheric) and artificial systems (AI) under a single structural principle, providing a minimal, falsifiable, and cross-domain description of both emergence and suppression phenomena. All figures and Python scripts are provided for full reproducibility.