{
 "id": "LIB2-100",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The registered octant construction does not exclude the mirror registration",
 "statement": "The chirality torsor {−1,+1} and octant torsor {7/16,9/16} admit two equivariant identifications, and no registered action term, operator, intertwiner or readout excludes the countermap.",
 "scope": {
  "carrier": "The chirality and atmospheric-octant torsors",
  "domain": "Nonselection of the physical registration, distinct from the internal mismatch identity.",
  "group": "Z2-equivariant identifications",
  "hypotheses": [
   "Use the registered odd chirality carrier and equivariant torsor identifications of s1156."
  ],
  "physical_target": null,
  "quantifier": "The two registered torsor identifications and the banked selecting objects.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 257
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Appendix N",
  "section": "§6, Octant-registration fence",
  "pdf_page": 269,
  "quote": "the chirality torsor {−1, +1} and the octant torsor {7/16, 9/16} admit exactly two Z2 -equivariant identifications (s1156: −1 7→ 7/16 and its mirror), and no registered action term, operator, intertwiner or readout map excludes the countermap."
 },
 "caution": "The nonselection result does not refute the internal mismatch identity or derive a theory-fixed odd coupling sign.",
 "candidate_ids": [
  "C2-005",
  "C2-059"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-356"
  },
  {
   "type": "related_to",
   "target": "LIB2-002"
  }
 ],
 "url": "/library-v2/LIB2-100/",
 "content_sha256": "c510a36d7ca1710840846b75a52048dda08956d2687080c8f6257baf11c84b7d",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}