{
 "@context": "https://schema.org",
 "@type": "DefinedTerm",
 "@id": "https://wulfkaal.github.io/entities/reflection-operator",
 "identifier": "kaal:entity:reflection-operator",
 "name": "Reflection operator",
 "termCode": "reflection-operator",
 "inDefinedTermSet": {
  "@id": "https://wulfkaal.github.io/entities/index.json"
 },
 "author": {
  "@type": "Person",
  "name": "Wulf A. Kaal",
  "identifier": "https://orcid.org/0000-0003-0757-275X"
 },
 "dateModified": "2026-07-29",
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   "value": 2
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 "subjectOf": [
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6655138-010",
   "identifier": "kaal:claim:6655138-010",
   "text": "Per-surface reflection and cross-surface reflection are not reducible to each other: an agent whose execution reputation rises while its template reputation falls has no basis in per-surface reflection alone for reallocating compute between those surfaces, which is exactly the question cross-surface reflection answers.",
   "abstract": "An agent whose execution reputation is rising and whose template reputation is falling has no reason, on per-surface reflection alone, to reallocate compute from Σ_E to Σ_K; the reallocation is precisely the question that cross-surface reflection answers.",
   "citation": "Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138",
   "datePublished": "2026",
   "claim_type": "mechanism",
   "confidence": "argued",
   "is_failure_mode": false,
   "scope_conditions": [
    "agents active on more than one generative surface"
   ],
   "source_pdf_sha256": "52cb210167f06f0c7a2581214b156326216543de80b8394320b629c045c9e214",
   "status": "current"
  },
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6655138-037",
   "identifier": "kaal:claim:6655138-037",
   "text": "The reflection operator is implementable at the settlement layer if and only if the architecture supports validation outcomes on at least as many timescales as there are distinguishable reflection acts, which in the six-surface architecture is six.",
   "abstract": "The reflection operator R is implementable in a settlement-layer architecture if and only if the architecture supports validation outcomes on at least as many timescales as there are distinguishable reflection acts",
   "citation": "Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138",
   "datePublished": "2026",
   "claim_type": "condition",
   "confidence": "argued",
   "is_failure_mode": false,
   "scope_conditions": [
    "settlement-layer implementations of the reflection operator"
   ],
   "source_pdf_sha256": "52cb210167f06f0c7a2581214b156326216543de80b8394320b629c045c9e214",
   "status": "current"
  }
 ],
 "description": "2 claims in the published works of Wulf A. Kaal carry the concept tag 'reflection-operator'. Derived node: a roster, not an adjudicated definition."
}