# kaal:claim:6655138-039

**Claim.** Cross-surface reflection requires a sixth timescale longer than any per-surface timescale, because its validation depends on observing the realized aggregate effect of an allocation policy across the joint outcome distribution of the prior five surfaces.

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

**Holds when.**

- validation of compute-allocation proposals

**Source quote.**

> Cross-surface reflection requires a sixth timescale, longer than any of the per-surface timescales, since its validation depends on observing the realized aggregate effect of an allocation policy across the joint outcome distribution of the prior five surfaces.

**From.** Wulf A. Kaal, *Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems* (2026), IX.C Proposition 3 (Multi-timescale reflection), page 24

**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.** cross-surface-reflection, timescales, allocation-policy, validation

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