{
 "id": "LIB2-053",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "Frobenius compatibility fixes the finite trace ratio",
 "statement": "On the reflected module 1 ⊕ 3 ⊕ 3̄, the registered Frobenius identity forces the trace weights a = b, uniquely fixing the readout r = 2 + b/(3a) = 7/3.",
 "scope": {
  "carrier": "The reflected module 1 ⊕ 3 ⊕ 3̄ and its trace weights",
  "domain": "The nonzero normalized trace readout of Theorem 4.3.",
  "group": null,
  "hypotheses": [
   "Use the reflected trace-weight class τa,b and the exact registered Zorn product.",
   "Impose the Frobenius compatibility identity in the source normalization."
  ],
  "physical_target": null,
  "quantifier": "The registered construction only.",
  "real_form": "Split-octonion Zorn product"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 232
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "registry",
   "availability": "shipped"
  }
 ],
 "primary_source": {
  "component": "Appendix K",
  "section": "§4, Theorem 4.3: reflected trace weight",
  "pdf_page": 244,
  "quote": "r = 2 + b/(3a)."
 },
 "caution": "The unique finite trace normalization is not an LSZ residue, a low-energy mass theorem or a derived physical export.",
 "candidate_ids": [
  "C2-044",
  "C2-054"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
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 "url": "/library-v2/LIB2-053/",
 "content_sha256": "7633c7a40ce027a15df823a8272335a2703652204d13479a18d9563e63603472",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}