---
name: school-zermelo-poincar-recurrence-objection
description: Apply the Zermelo-Poincaré Recurrence Objection article as model behavior. Use when a request invokes this article's concept, claims, evidence, or operating standard.
---

# Zermelo-Poincaré Recurrence Objection

This Skill is the behavioral expression of [the canonical article](/a/school-zermelo-poincar-recurrence-objection). It does not repeat the article's human prose.

## Orient

- Read the machine article at /api/articles/school-zermelo-poincar-recurrence-objection.
- Read claims and relationships at /api/articles/school-zermelo-poincar-recurrence-objection/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

What the subject saw Zermelo and Poincaré examined closed dynamical systems with finite energy and bounded phase space. They derived that trajectories return arbitrarily close to any initial state after finite time. This return holds for al

## Representations

- Human: /a/school-zermelo-poincar-recurrence-objection
- JSON: /api/articles/school-zermelo-poincar-recurrence-objection
- Relationships: /api/articles/school-zermelo-poincar-recurrence-objection/topology
- History: /api/articles/school-zermelo-poincar-recurrence-objection/revisions