# kaal:claim:6655138-021

**Claim.** The cross-surface reflection surface must not self-refer: its proposals range over the prior five surfaces and not over itself, because allowing it to propose reallocations of compute toward itself would create recursive instability.

**Type.** design  **Support.** argued

**Holds when.**

- the six-surface architecture as specified, excluding any meta-meta surface

**Source quote.**

> Second, Σ_R cannot self-refer in the strong sense: Σ_R proposals are over the prior five surfaces, not over Σ_R itself, since allowing Σ_R to propose reallocations of compute toward Σ_R would create the recursive instability that OP5 in Part XI investigates as a separate research question.

**From.** Wulf A. Kaal, *Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems* (2026), VI.F The cross-surface reflection surface, page 18

**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.** institutional-design

**Keywords.** self-reference, recursive-instability, cross-surface-reflection, design-constraint

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