{"slug":"oip-catalogue-mapping","title":"The Catalogue: Mapping Invariants to Protocol","body":"# Mapping Invariants to Protocol\n\n5. Mapping the invariants onto the protocol\n\n| Axiom | Invariants that instance it |\n|---|---|\n| **A₀** inversion | Falsification (Popper), Gödel, the negation test |\n| **A₁** polarity | Duality/complementarity (§3.14), symmetry ↔ breaking (§3.3–3.4) |\n| **A₂** the grain | Dissipation (§3.1), least action (§3.2), compression (§3.10), Tao/*wu wei*, maximum power (§3.18) |\n| **A₃** convergence | Physics unification (GUT), free energy (§3.11), emergence (§3.13), Pareto (§3.15), general systems theory |\n| **A₄** the floor | Thermoeconomics/exergy (§3.18), Ostrom's commons (§3.19), coercion-cost |\n| **A₇** signatures | The whole of §3 — but the signal is *compressibility of the convergence* (§3.10) |\n| **A₈** maker-system | Autopoiesis (§3.8), observer/participatory universe (§3.21), strange loops (§3.9) |\n| **A₁₁** the receipt | Information/Landauer (§3.10), ledger, provenance |\n| **A₁₂** recursion | Cybernetics (§3.7), autopoiesis (§3.8), evolutionary epistemology (§3.12) |\n| **T₂** the Ought | Teleology/entelechy/Omega (§3.22) — typed T3, carried, not asserted |\n\n---\n\n##\n\n---\n\n## Corpus map\n- Catalogue hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article)\n- Nodes: [C01](/a/oip-node-c01-gradient-dissipation-far-from-equilibrium-order) · [C02](/a/oip-node-c02-least-action-variational-principles) · [C03](/a/oip-node-c03-symmetry-conservation) · [C04](/a/oip-node-c04-symmetry-breaking-bifurcation) · [C05](/a/oip-node-c05-criticality-edge-of-chaos-power-laws) · [C06](/a/oip-node-c06-information-entropy-compression) · … (25 nodes)\n- Edge series: [Convergence 1](/a/oip-convergence-edge-1) · [Disconfirming 1](/a/oip-disconfirming-edge-1)","register":"oip_protocol","tags":["philosophy","oip","catalogue","systems-theory"],"category":null,"style":{},"claims":[{"id":"c1","text":"A₀ inversion is instanced by Falsification (Popper), Gödel, and the negation test.","section":"5. Mapping the invariants onto the protocol","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Maps core axiom to specific invariant instances in the protocol."},{"id":"c2","text":"A₁ polarity is instanced by Duality/complementarity (§3.14) and symmetry ↔ breaking (§3.3–3.4).","section":"5. Mapping the invariants onto the protocol","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Maps core axiom to specific invariant instances in the protocol."},{"id":"c3","text":"A₂ the grain is instanced by Dissipation (§3.1), least action (§3.2), compression (§3.10), Tao/wu wei, and maximum power (§3.18).","section":"5. Mapping the invariants onto the protocol","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Maps core axiom to specific invariant instances in the protocol."},{"id":"c4","text":"A₃ convergence is instanced by Physics unification (GUT), free energy (§3.11), emergence (§3.13), Pareto (§3.15), and general systems theory.","section":"5. Mapping the invariants onto the protocol","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Maps core axiom to specific invariant instances in the protocol."},{"id":"c5","text":"A₄ the floor is instanced by Thermoeconomics/exergy (§3.18), Ostrom's commons (§3.19), and coercion-cost.","section":"5. Mapping the invariants onto the protocol","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Maps core axiom to specific invariant instances in the protocol."},{"id":"c6","text":"A₇ signatures is instanced by the whole of §3 with the signal being compressibility of the convergence (§3.10).","section":"5. Mapping the invariants onto the protocol","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Maps core axiom to specific invariant instances in the protocol."},{"id":"c7","text":"A₈ maker-system is instanced by Autopoiesis (§3.8), observer/participatory universe (§3.21), and strange loops (§3.9).","section":"5. Mapping the invariants onto the protocol","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Maps core axiom to specific invariant instances in the protocol."},{"id":"c8","text":"A₁₁ the receipt is instanced by Information/Landauer (§3.10), ledger, and provenance.","section":"5. Mapping the invariants onto the protocol","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Maps core axiom to specific invariant instances in the protocol."},{"id":"c9","text":"A₁₂ recursion is instanced by Cybernetics (§3.7), autopoiesis (§3.8), and evolutionary epistemology (§3.12).","section":"5. Mapping the invariants onto the protocol","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Maps core axiom to specific invariant instances in the protocol."},{"id":"c10","text":"T₂ the Ought is instanced by Teleology/entelechy/Omega (§3.22), typed T3, carried not asserted.","section":"5. Mapping the invariants onto the protocol","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Maps core axiom to specific invariant instances in the protocol."},{"id":"c11","text":"The corpus includes a Catalogue hub at Convergence Catalogue — Public Article, 25 nodes C01–C06 and beyond, and Edge series Convergence 1 and Disconfirming 1.","section":"## Corpus map","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Defines the structure and navigation of the OIP corpus."}],"sources":[],"prov":{"model":"Fable 5 (Claude Code)","action":"write"}}