# kaal:claim:6655138-032

**Claim.** Without the reflection-mass invariant, the reflection layer can grow to dominate the first-order surfaces it is meant to reflect on, and the contraction property of the composite best-response map is lost.

**Type.** failure  **Support.** argued

**Holds when.**

- architectures with an isolated cross-surface reflection surface

**Source quote.**

> Without INV5, the reflection layer can grow to dominate the first-order surfaces it is meant to reflect on, and the contraction property of Ψ is lost.

**From.** Wulf A. Kaal, *Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems* (2026), VIII.C Implementation invariants, INV5, page 22

**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

**Failure mode.** Reflection layer dominance  (family: reputation-system-gaming)

**Topics.** institutional-design

**Keywords.** inv5, reflection-layer, contraction, convergence-failure

**Related claims.**

- extends: https://wulfkaal.github.io/claims/6607458-023

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