# Convergence Edge 3: Symmetry ↔ Conservation ↔ Duality / Complementarity

slug: oip-convergence-edge-3 · https://miscsubjects.com/a/oip-convergence-edge-3 · tags: OIP, catalogue, convergence, edge · updated 2026-08-06T06:56:56.983Z

**C03** (Symmetry ↔ Conservation) recurs-with **C14** (Duality / Complementarity)

**Shared pattern:** Fundamental quantities come in opposed, mutually-defining pairs; the structure of reality is dyadic

**Domain distance:** Mathematical physics → Philosophy/Psychology/Theology (maximum)

**Derivation independence:** EXTREMELY HIGH. Noether (mathematics, 1918) proved the theorem from invariant variational problems. Bohr (physics, 1928) developed complementarity from quantum experiments. Heraclitus (philosophy, ~500 BCE) observed opposition in nature. Taoism (religion, ~6th c. BCE) derived yin-yang from natural cycles. Jung (psychology, 1951) observed psychic opposites clinically. Five civilizations, three millennia, zero borrowing.

**Convergence strength (1–10):** 9

**Note:** This is the strongest convergence in the catalogue. The duality pattern is not domain-specific — it is cross-domain structural.

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## Corpus map
- C03 (Symmetry ↔ Conservation): [C03 in the Encyclopedia](/a/convergence-encyclopedia-c03) · [C03 in the Catalogue](/a/oip-node-c03-symmetry-conservation)
- C14 (Duality / Complementarity): [C14 in the Encyclopedia](/a/convergence-encyclopedia-c14) · [C14 in the Catalogue](/a/oip-node-c14-duality-complementarity-dialectic)
- 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)