{
 "id": "LIB2-025",
 "entry_version": 10,
 "class": "CLAIM",
 "title": "The loaded-plane defect algebra determines the selector eigenspaces",
 "statement": "The loaded plane PB forces the 26 ⊕ 10 interior split, and its symplectic transport defect, with the commuting joint pair (QP,QΔ) — words of degree at most 2 in QP and QΔ — produces all five QT eigenspaces once their two-dimensional common kernel, on which every polynomial in the pair is scalar, is split by the top Hessian projector of the banked golden form η.",
 "scope": {
  "carrier": "Loaded-plane projector PB and the tangent-sector selector eigenspaces",
  "domain": "Eigenspaces as subspaces; weights and nonlinear shape are separate.",
  "group": null,
  "hypotheses": [
   "PB is the registered loaded plane.",
   "The transport defect is ∆T = [Tϕ,PB] = [J0,PB].",
   "The registered joint pair is (QP,Q∆)."
  ],
  "physical_target": null,
  "quantifier": "The declared class only.",
  "real_form": "Split-real 56-frame"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 170
 },
 "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 E",
  "section": "§7, Forced interior split",
  "pdf_page": 176,
  "quote": "PB forces the exact 26 ⊕ 10 eigenspace split"
 },
 "caution": "This subspace construction does not select the loaded plane, the eigenvalue weights or a unique nonlinear action.",
 "candidate_ids": [
  "C2-106"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "cited_by_section",
   "target": "E-C04.2.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.derivation"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.prior-art"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.sources-receipt"
  }
 ],
 "url": "/library-v2/LIB2-025/",
 "content_sha256": "6e402c44423cef27ba73ddccb1de78be49499cb2c80f8b086a894605311e7471",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}