{
 "id": "LIB2-089",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The physical-to-boundary quadratic bridge space is one-dimensional",
 "statement": "For the registered physical/selector ten P and boundary ten B, dim HomKdyn(Sym²P,B) = 1.",
 "scope": {
  "carrier": "Physical/selector ten P and boundary ten B",
  "domain": "Quadratic symmetry-respecting maps from the physical/selector module to the boundary module.",
  "group": "Kdyn",
  "hypotheses": [
   "Use the distinct registered P and B modules and the symmetric-square domain."
  ],
  "physical_target": null,
  "quantifier": "The specified equivariant Hom space.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 297
 },
 "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 S",
  "section": "§9.3, Quadratic bridge census: P to B",
  "pdf_page": 313,
  "quote": "dim HomKdyn (Sym2 P, B) = 1"
 },
 "caution": "The dimension count does not select a normalized physical bridge or identify the inequivalent linear modules.",
 "candidate_ids": [
  "C2-120"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-016"
  },
  {
   "type": "related_to",
   "target": "LIB2-017"
  }
 ],
 "url": "/library-v2/LIB2-089/",
 "content_sha256": "bd9ad61de54d61e42b4dbf4e2a4bf6d8aeb56825634feec590a0a80d27935de1",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}