# The Catalogue: Mapping Invariants to Protocol

slug: oip-catalogue-mapping · https://miscsubjects.com/a/oip-catalogue-mapping · tags: philosophy, oip, catalogue, systems-theory · updated 2026-07-17T02:36:05.612Z

# Mapping Invariants to Protocol

5. Mapping the invariants onto the protocol

| Axiom | Invariants that instance it |
|---|---|
| **A₀** inversion | Falsification (Popper), Gödel, the negation test |
| **A₁** polarity | Duality/complementarity (§3.14), symmetry ↔ breaking (§3.3–3.4) |
| **A₂** the grain | Dissipation (§3.1), least action (§3.2), compression (§3.10), Tao/*wu wei*, maximum power (§3.18) |
| **A₃** convergence | Physics unification (GUT), free energy (§3.11), emergence (§3.13), Pareto (§3.15), general systems theory |
| **A₄** the floor | Thermoeconomics/exergy (§3.18), Ostrom's commons (§3.19), coercion-cost |
| **A₇** signatures | The whole of §3 — but the signal is *compressibility of the convergence* (§3.10) |
| **A₈** maker-system | Autopoiesis (§3.8), observer/participatory universe (§3.21), strange loops (§3.9) |
| **A₁₁** the receipt | Information/Landauer (§3.10), ledger, provenance |
| **A₁₂** recursion | Cybernetics (§3.7), autopoiesis (§3.8), evolutionary epistemology (§3.12) |
| **T₂** the Ought | Teleology/entelechy/Omega (§3.22) — typed T3, carried, not asserted |

---

##

---

## Corpus map
- Catalogue hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article)
- 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)
- Edge series: [Convergence 1](/a/oip-convergence-edge-1) · [Disconfirming 1](/a/oip-disconfirming-edge-1)