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Object Invocation Protocol · protocol specification

Invariant 3.5 — 3.5 Criticality / edge of chaos / power laws

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## §SELF — OIP protocol specification

**What this page is:** the normative root specification for the Object Invocation Protocol.

**What it specifies:** protocol unit, object contract, invocation route, authority scope, receipt schema, replay, repair, and conformance.

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Invariant: 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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