# kaal:claim:6655138-033

**Claim.** In any architecture instantiating Computative Economics the number of distinct possibility loops must be at least the number of distinguishable generative and reflective components of the agent tuple that produce protocol-recognized output, with the reflection operator counted as two components.

**Type.** condition  **Support.** argued

**Holds when.**

- architectures instantiating Computative Economics

**Source quote.**

> In any agent coordination architecture instantiating Computative Economics, the number of distinct possibility loops must be at least equal to the number of distinguishable generative and reflective components of the agent tuple that produce protocol-recognized output

**From.** Wulf A. Kaal, *Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems* (2026), IX.A Proposition 1 (Necessity of multiple loops), page 23

**Cite as.** Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138

**Verify.** sha256 of source PDF `52cb210167f06f0c7a2581214b156326216543de80b8394320b629c045c9e214` at https://raw.githubusercontent.com/wulfkaal/Academic-Papers/main/papers/pdf/Kaal%20-%202026%20-%20Possibility%20Loops%20An%20Operational%20Architecture%20for%20Computative%20Economics%20in%20Agent%20Coordination%20Systems.pdf

**Topics.** ai-and-agents

**Keywords.** proposition-1, multiple-loops, necessity, agent-tuple

**Canonical form.** This markdown file is the canonical hashed representation of the claim. Its sha256 is the content hash used for attestation.