---
slug: oip-convergence-edge-2
title: Convergence Edge 2: Least Action ↔ Pareto Optimization
canonical: https://miscsubjects.com/a/oip-convergence-edge-2
---

**C02** (Least Action) recurs-with **C15** (Pareto Optimization)

**Shared pattern:** Systems extremize a quantity subject to constraints; the stationary point is the operating point

**Domain distance:** Fundamental physics → Economics (large)

**Derivation independence:** HIGH. Fermat/Lagrange/Hamilton (physics, 1662–1833) derived variational principles from mechanics and optics. Pareto (economics, 1906) derived optimality from utility theory. The mathematics converged: both use Lagrange multipliers; both find stationary points on constraint manifolds.

**Convergence strength (1–10):** 7

**Note:** The mathematical isomorphism is exact. Whether it is physically meaningful or mere formal analogy is the open question. The edge carries the isomorphism; the interpretation is node-level.

---

## Corpus map
- C02 (Least Action): [C02 in the Encyclopedia](/a/convergence-encyclopedia-c02) · [C02 in the Catalogue](/a/oip-node-c02-least-action-variational-principles)
- C15 (Pareto Optimization): [C15 in the Encyclopedia](/a/convergence-encyclopedia-c15) · [C15 in the Catalogue](/a/oip-node-c15-optimization-under-constraint-pareto-fronts)
- Convergence edges: [1](/a/oip-convergence-edge-1) · [2](/a/oip-convergence-edge-2) · [3](/a/oip-convergence-edge-3) · [4](/a/oip-convergence-edge-4) · [5](/a/oip-convergence-edge-5) · [6](/a/oip-convergence-edge-6) · [7](/a/oip-convergence-edge-7) · [8](/a/oip-convergence-edge-8) · [9](/a/oip-convergence-edge-9) · [10](/a/oip-convergence-edge-10)
- Catalogue hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article) · [The Schema](/a/oip-convergence-schema)
