{"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)","hero":null,"images":[],"style":{},"tags":["OIP","catalogue","convergence","edge"],"model":null,"ledger":null,"embeds":[],"widgets":[],"home":true,"claims":[],"sources":[],"reviews":[],"extra":{"kind":"corpus","corpus_map":{"prev":"oip-convergence-edge-2","next":"oip-convergence-edge-4","hub":"oip-convergence-public-article","series":"convergence-edges","position":3,"of":10}},"register":"oip_protocol","status":"published","revisions":3,"contributions":[],"provenance":[{"ts":"2026-07-04T03:33:00.584Z","model":"claude-fable-5","action":"restore","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"9bee0037675805c1c7676a87642aca0d6a4aac1133e2691a494fdb1b3e78ac69"},{"ts":"2026-07-04T04:33:36.084Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"9bee0037675805c1c7676a87642aca0d6a4aac1133e2691a494fdb1b3e78ac69","hash":"e433de5eb7d5abfb1a03f5930cff68f32be09e26dce8f2ca8d6ac9c876a16d64"},{"ts":"2026-07-04T05:01:35.244Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"e433de5eb7d5abfb1a03f5930cff68f32be09e26dce8f2ca8d6ac9c876a16d64","hash":"ca34f4513ddd31e5861fe09fd814930397b2f43c4fcb7de4827fda33b01d6084"}],"energy":{"passes":3,"tokens_in":0,"tokens_out":0,"tokens_total":0,"cost_usd":0,"models":{"claude-fable-5":3},"head":"ca34f4513ddd31e5861fe09fd814930397b2f43c4fcb7de4827fda33b01d6084"},"posted_at":"2026-07-04T02:53:59.593Z","created_at":"2026-07-04T02:53:59.593Z","updated_at":"2026-07-04T05:01:35.244Z","machine":{"shape":"article.machine/v1","slug":"oip-convergence-edge-3","kind":"corpus","read":{"human":"https://miscsubjects.com/a/oip-convergence-edge-3","json":"https://miscsubjects.com/api/articles/oip-convergence-edge-3","bundle":"https://miscsubjects.com/api/articles/oip-convergence-edge-3/bundle?format=markdown"},"traversal":{"prev":{"slug":"oip-convergence-edge-2","human":"https://miscsubjects.com/a/oip-convergence-edge-2","json":"https://miscsubjects.com/api/articles/oip-convergence-edge-2"},"next":{"slug":"oip-convergence-edge-4","human":"https://miscsubjects.com/a/oip-convergence-edge-4","json":"https://miscsubjects.com/api/articles/oip-convergence-edge-4"},"hub":{"slug":"oip-convergence-public-article","human":"https://miscsubjects.com/a/oip-convergence-public-article","json":"https://miscsubjects.com/api/articles/oip-convergence-public-article"},"series":"convergence-edges","position":3,"of":10},"ledger":{"claims":0,"sources":0,"contributions":0,"revisions":3,"objections_url":"https://miscsubjects.com/api/articles/oip-convergence-edge-3/objections","thread_state_url":"https://miscsubjects.com/api/protocol/thread-state?target=oip-convergence-edge-3","proof_rule":"An action is proven by its ledger receipt, never by a 200 or a description."},"standard":{"writing":"peptide standard: logical prose, zero decorative wording, every material assertion atomized as a claim with a tier and a source (or explicitly unsourced)","claim_tiers":["human","preclinical","anecdotal","mechanistic","speculative","system"],"verbatim_law":"source text is prose-preserving — attack via objections, never rewrite the author's words"},"terminal":{"how":"Any model may emit these commands; 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