Bounded Dynamic Intelligence: A Filling-Rate Formulation, the IQ ≥ T Constraint, and an Evolutionary Hypothesis

We revise a previously proposed measure of dynamic intelligence. In the original formulation, dynamic intelligence was defined as T = (e N − 1)/Ablank, where N is the number of distinct domains used in a 3-minute blank-A4-paper task and Ablank is the remaining blank area. This formulation diverges as Ablank → 0. We resolve this by redefining A as the filled area and A0 as the original blank area, yielding the bounded measure T = (e N − 1) A/A0. The ratio T /IQ then admits a natural upper bound. We further argue, on empirical and evolutionary grounds, that T ≤ IQ (equivalently T /IQ ≤ 1) is a reasonable constraint: static intelligence (IQ) forms the foundation, and dynamic intelligence (T) is built upon it. Under this constraint, the critical number of domains at full filling (A/A0 = 1) is N = ln(IQ + 1), which lies near the working- memory capacity of 4±1 (Cowan) across the IQ range 70–200. We interpret “complete dynamic dominance” (T /IQ ≈ 1) as the state in which an individual fully utilizes their IQ foundation, and we propose an evolutionary hypothesis: because environments changed only gradually over human evolution, selection favored rational judgment in slowly changing contexts (IQ), whereas chaotic-context adaptation (T) remained a secondary, rarely selected capacity. This explains why IQ ≥ T holds empirically and why dynamic intelligence is best modeled as bounded by static intelligence. Keywords: dynamic intelligence, static intelligence, IQ, working memory, creativity, evolution- ary psychology, bounded measure