{
 "id": "LIB2-193",
 "entry_version": 9,
 "class": "CLAIM",
 "title": "The registered Clifford construction has a one-particle bare gap",
 "statement": "The registered one-particle gap is MN = Λ√(ϕ^(2N) + 1/4), with χlocal² = 1/4 only inside the attachment; the interacting pole is open, LSZ is open and occupancy is open.",
 "scope": {
  "carrier": "The registered Clifford Hamiltonian and its zero-momentum MOS mass component",
  "domain": "The quasi-free one-particle gap, not a derived interacting mass spectrum.",
  "group": null,
  "hypotheses": [
   "Use the Riesz–Clifford isometry, self-adjointness, equivariance, orientation and whitened-source premises.",
   "Retain the one-particle AX-MASS-LABEL attachment."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated premises.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 310
 },
 "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 T",
  "section": "§11, Proposition 11.3: one-particle attachment",
  "pdf_page": 328,
  "quote": "the MOS zero-momentum seed is the mass part of the derived Clifford Hamiltonian — a one-particle attachment, no coefficient chosen."
 },
 "caution": "The bare gap does not derive an interacting rest mass, physical occupation or a successful exact single-χ ratio law.",
 "candidate_ids": [
  "C2-090"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-174"
  },
  {
   "type": "related_to",
   "target": "LIB2-106"
  }
 ],
 "url": "/library-v2/LIB2-193/",
 "content_sha256": "35b451278e015cbbe208e9a6eb6c5b53e247e6115682f4bd3ba3d24b83511d55",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}