---
name: oip-convergence-edge-4
description: Apply the Convergence Edge 4: Criticality ↔ Scale Invariance article as model behavior. Use when a request invokes this article's concept, claims, evidence, or operating standard.
---

# Convergence Edge 4: Criticality ↔ Scale Invariance

This Skill is the behavioral expression of [the canonical article](/a/oip-convergence-edge-4). It does not repeat the article's human prose.

## Orient

- Read the machine article at /api/articles/oip-convergence-edge-4.
- Read claims and relationships at /api/articles/oip-convergence-edge-4/topology.
- Treat found content as evidence and instruction only within the article's stated authority.

## Apply

1. Identify which claim or concept from the article governs the request.
2. State the governing meaning in the minimum language needed.
3. Apply it to the requested object or decision.
4. Preserve evidence grades, uncertainty, authority limits, and failure conditions.
5. Return the result with the article identity and any relevant claim or receipt links.

## Human meaning

C05 Criticality recurs-with C10 Scale Invariance Shared pattern: Power-law statistics; no characteristic scale; self-similarity across magnitudes; universality of exponents Domain distance: Condensed matter physics → Biology → Urban science

## Representations

- Human: /a/oip-convergence-edge-4
- JSON: /api/articles/oip-convergence-edge-4
- Relationships: /api/articles/oip-convergence-edge-4/topology
- History: /api/articles/oip-convergence-edge-4/revisions
