{"slug":"oip-convergence-edge-3","title":"Convergence Edge 3: Symmetry ↔ Conservation ↔ Duality / Complementarity","body":"**C03** (Symmetry ↔ Conservation) recurs-with **C14** (Duality / Complementarity)\n\n**Shared pattern:** Fundamental quantities come in opposed, mutually-defining pairs; the structure of reality is dyadic\n\n**Domain distance:** Mathematical physics → Philosophy/Psychology/Theology (maximum)\n\n**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.\n\n**Convergence strength (1–10):** 9\n\n**Note:** This is the strongest convergence in the catalogue. The duality pattern is not domain-specific — it is cross-domain structural.\n\n---\n\n## Corpus map\n- C03 (Symmetry ↔ Conservation): [C03 in the Encyclopedia](/a/convergence-encyclopedia-c03) · [C03 in the Catalogue](/a/oip-node-c03-symmetry-conservation)\n- C14 (Duality / Complementarity): [C14 in the Encyclopedia](/a/convergence-encyclopedia-c14) · [C14 in the Catalogue](/a/oip-node-c14-duality-complementarity-dialectic)\n- Convergence edges: [1](/a/oip-convergence-edge-11) · [2](/a/oip-convergence-edge-22) · [3](/a/oip-convergence-edge-33) · [4](/a/oip-convergence-edge-44) · [5](/a/oip-convergence-edge-55) · [6](/a/oip-convergence-edge-66) · [7](/a/oip-convergence-edge-77) · [8](/a/oip-convergence-edge-88) · [9](/a/oip-convergence-edge-99) · [10](/a/oip-convergence-edge-1010)\n- Catalogue hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article) · [The Schema](/a/oip-convergence-schema)","register":"oip_protocol","tags":["OIP","catalogue","convergence","edge"],"category":null,"style":{},"claims":[{"id":"c1","text":"C03 (Symmetry ↔ Conservation) recurs-with C14 (Duality / Complementarity)","section":"## Corpus map","tier":"anecdotal","source_ids":[],"source_status":"unsourced","why_material":"Establishes the core recurrence relation defining this convergence edge"},{"id":"c2","text":"Fundamental quantities come in opposed, mutually-defining pairs; the structure of reality is dyadic","section":"## Corpus map","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"States the shared pattern underlying the symmetry-conservation and duality relation"},{"id":"c3","text":"Domain distance from Mathematical physics to Philosophy/Psychology/Theology is maximum","section":"## Corpus map","tier":"anecdotal","source_ids":[],"source_status":"unsourced","why_material":"Quantifies the cross-domain span of the convergence"},{"id":"c4","text":"Derivation independence of the convergence is EXTREMELY HIGH with five civilizations, three millennia, zero borrowing","section":"## Corpus map","tier":"anecdotal","source_ids":[],"source_status":"unsourced","why_material":"Documents independent origins across Noether, Bohr, Heraclitus, Taoism and Jung"},{"id":"c5","text":"Convergence strength is 9 on a 1-10 scale","section":"## Corpus map","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Rates this as the strongest convergence in the catalogue"},{"id":"c6","text":"The duality pattern is the strongest convergence in the catalogue and is cross-domain structural rather than domain-specific","section":"## Corpus map","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Affirms the non-domain-specific nature of the pattern"}],"sources":[],"prov":{"model":"Fable 5 (Claude Code)","action":"write"}}