---
name: thinker-paul-ehrenfest
description: Apply the Paul Ehrenfest: Adiabatic Invariants, Ergodicity, and Physical Patterns article as model behavior. Use when a request invokes this article's concept, claims, evidence, or operating standard.
---

# Paul Ehrenfest: Adiabatic Invariants, Ergodicity, and Physical Patterns

This Skill is the behavioral expression of [the canonical article](/a/thinker-paul-ehrenfest). It does not repeat the article's human prose.

## Orient

- Read the machine article at /api/articles/thinker-paul-ehrenfest.
- Read claims and relationships at /api/articles/thinker-paul-ehrenfest/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 Ehrenfest Saw Paul Ehrenfest examined the foundations of statistical mechanics and early quantum theory. He focused on how systems evolve under slow changes and how time averages relate to ensemble averages. His work clarified conditio

## Representations

- Human: /a/thinker-paul-ehrenfest
- JSON: /api/articles/thinker-paul-ehrenfest
- Relationships: /api/articles/thinker-paul-ehrenfest/topology
- History: /api/articles/thinker-paul-ehrenfest/revisions
