CONCEPT
Sublinear Scaling
The regime in which outputs grow more slowly than inputs — the mathematical signature of biological metabolism, urban infrastructure, and corporate maturation — producing efficiency, stagnation, and death.
Sublinear scaling describes any system whose outputs grow more slowly than its size — where the scaling exponent sits below 1.0. In biology, metabolism scales at 0.75: doubling body mass requires only about 68% more energy. In urban infrastructure, road surface and electrical cable scale at approximately 0.85: a city of ten million needs proportionally less pipe per capita than a city of one million. In companies, innovation per employee scales sublinearly as organizations grow — the research-and-development budget as a fraction of revenue declines, the patent rate per capita falls, the diversity of products narrows. The efficiency gains are real. So is the cost: sublinear systems have mathematically predictable lifespans. The fractal branching topology that produces sublinear scaling also produces finite mortality.
In The You On AI Field Guide
The pattern of sublinear scaling is one of the most elegant results in complexity science. When a biological organism doubles in size, it does not need twice as much food — it needs roughly 68% more. The