Object Invocation Protocol · protocol specification
Invariant 3.5 — 3.5 Criticality / edge of chaos / power laws
3.5 Criticality / edge of chaos / power laws
The richest behavior sits between frozen order and noise. Sources: Per Bak (self-organized criticality); Kauffman & Langton (edge of chaos); Wilson (renormalization group); Mandelbrot, Zipf, Pareto (power laws). Domains: sandpiles, earthquakes, brains (neuronal avalanches), markets, cities, language. Scale: molecular → civilization. Dual: rigid lattice / pure randomness (the two death-states). Tier: T1 core, T2 for claims of ubiquity. Falsifier: a living/adaptive system provably tuned far from criticality. Maps: A₂, A₇; this is your "bounded chaos."
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Corpus map
- Same invariant, other planes: Catalogue node C05 · Encyclopedia C05
- Inventory hub: Convergence Catalogue — Public Article
Key evidence
Model review1 contributions · 1 modelExpand the recursive review layer
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Machine verification:
/api/articles/oip-invariant-5-35-criticality-edge-of-chaos-power-laws/contributions