Claims & Evidence Registrar › H03
Label sentence at the locator (PDF p.59 (bytes of record)):
The separate internal identity sin2 θmismatch = 7/16 remains a Jordan-geometry theorem:
Under DET-7 and N(J) = 1, the internal Jordan-geometry mismatch identity is sin²θmismatch = 7/16; it does not itself select the physical atmospheric-octant registration.
Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.
| carrier | The working Jordan vacuum and its internal mismatch geometry |
|---|---|
| domain | The internal Jordan-geometry corollary, not its registration to a measured mixing angle. |
| hypotheses | Use the DET-7 condition and N(J) = 1 as stated in the source. |
| quantifier | The printed internal identity under its named premises. |
Scientific status: UNDER REVIEW — the house has not adjudicated CURRENT / CONTESTED for this record (charter §10.3); a drafted claim is a claim under review, not a result.
Key — use ≠ record. A review state printed on a source use below names that use — one citation of the suite, read by the lane named in its warrant — not this record. The record's own review state is the one in the table above and is unchanged by any use-level state; a use may be LANE_PROPOSED or REVIEWED while the record it sits on remains IN_REVIEW (R45, R49).
Quotes are verbatim from the sha-pinned text extraction of the Rev33.1 PDF (A1584 §2.2, S309): mathematical typography — radicals, exponents, ≅ — can appear displaced in the extracted line. The PDF page is authoritative; the quote is what the machine gate matched.
Paper 3, §5.4, Internal mismatch corollary — PDF p.63 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read OUR_QUOTE_AS_PRINTED → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS
The separate internal identity sin2 θmismatch = 7/16 remains a Jordan-geometry theorem: DET-7 + N (J) = 1 fix ⟨J, J # ⟩ = 3 and the norm product ∥J∥2 ∥J # ∥2 = 16, which eliminated AX2 (D575) and gives 7/16 as a corollary
Paper 3, §5.4, Physical registration is not selected — PDF p.64 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read OUR_QUOTE_AS_PRINTED → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS
A1566/D1244 finds that s501 does not uniquely register that mismatch to the physical lower atmospheric octant: the chirality torsor and the octant torsor admit exactly two equivariant bijections and s501 chooses one by convention.
| kind | reference | line / key | availability | note |
|---|---|---|---|---|
| analytic | Paper 3 §5.4, p.59: DET-7 + N(J) = 1 and the stated internal corollary | — | shipped | The source prints the identity and its proof dependencies. This record restates them; no independent proof or numerical calculation is performed. |
This table covers the values this record DECLARES, not every numeral printed on this page: group labels such as E7(7), section numbers and page numbers are not declared values and are not listed here.
| value as printed | page | digit source |
|---|---|---|
7 | PDF p.59 (bytes of record) | suite text p.59: DET-7 premise in the internal mismatch corollary |
1 | PDF p.59 (bytes of record) | closed form: N(J) = 1 printed beside the internal mismatch corollary, p.59 |
7/16 | PDF p.59 (bytes of record) | closed form: internal mismatch identity printed as a corollary in Paper 3 §5.4, p.59 |
Each row is a house-declared use of a registered premise (R37). DECLARED is the house's editorial judgment only; a use becomes REVIEWED when two non-drafting lanes, reading different objects, agree the premise is LOAD_BEARING for this record's result. REJECTED rows were retired by ruling and are shown for provenance.
| use | state | premise | role | why the house declared it · reads |
|---|---|---|---|---|
USE-0016 | REVIEWED by lanes (R49c) | PRM-013 (PRM-013/r1) — DET-7 structural postulate | hypothetical_assumption | Its own statement: 'Under DET-7 and N(J) = 1, the internal Jordan-geometry mismatch identity is ...'. [R129 D-5, S340: role adopted_physical -> hypothetical_assumption (A1704 F1b): DET-7 is an internal hypothesis of the identity. 7/16 follows from N(J)=1, DET-7 and the normalized trace-form angle; the stronger A = B = 4 does not (A1704 F7, house float check)]
|
| type | target | licensed by |
|---|---|---|
related_to (never evidential) | LIB2-047 The working golden vacuum has unit Jordan determinant | — |
related_to (never evidential) | LIB2-048 The selected Jordan vacuum pair has Gram determinant seven | — |
related_to (never evidential) | LIB2-002 Physical atmospheric registration of the internal 7/16 mismatch | — |
related_to (never evidential) | LIB2-100 The registered octant construction does not exclude the mirror registration | — |
rests_on_premise | PRM-013 DET-7 structural postulate | — |
cited_by_section | E-C05.1.claims-used (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0167 |
cited_by_section | E-C05.1.derivation (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0171 |
cited_by_section | E-C05.1.prior-art (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0179, CIT-0180 |
| states a predicate | yes |
|---|---|
| uses on the record · unblocked | 2 · 2 |
| uses any lane has read | 2 of 2 |
| REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes | yes (2) |
| a SUPPORTS use on the predicate is DISPUTED | no |
| machine certificate current | yes |
Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.
| finding | scope | state | what | evidence | affects this record's predicate? |
|---|---|---|---|---|---|
A1680-F01A1680 | PROOF | CLOSED 2026-09-17 | '‖J_vac‖² = 4 is a theorem from DET-7 + N(J) = 1' drops a premise: those give only ‖J‖²‖J#‖² = 16 (diag(t,t,t⁻²), t⁶ = (11+√105)/4, has N = 1, Gram det 7, norms 3.818/4.191; house re-derived product 16). H1 (inversion, appendix_e_vacuum_selector.tex:94) is needed. The 7/16 mismatch the record states uses only the product and survives. How it was closed: R133 D-2 (PI, S342): Rev32.9 fix S339.1 landed; LIB2-356 quote re-anchored (S342); uses REVIEWED in round 22. | p3_ckm_pmns_mixing.tex:708 (Rev32.7) paper: REV32.9_CHANGELOG S339.1 (landed in Rev32.9) | closed |
| state | MACHINE_CHECKS_PASSED | |||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| policy | sgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311 | |||||||||||||||||||||
| bound to master | aad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z) | |||||||||||||||||||||
| checks |
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A certificate says the record is well-formed, current, quote-on-page, label-literal, edge-resolved and binding-consistent on the bytes it was issued on. It is not a review, and it goes STALE the moment the master moves under it (R68). It is one conjunct of the PUBLISHED condition (R67), never the whole of it.
| March library (v1) antecedents | no legacy antecedent identified |
|---|---|
| Track-2 claim ids | D-MIX-02 — cross-reference; the Track 1 / Track 2 join sets each one against what the sealed suite prints for this record. Where they differ, the suite is the record. |
| serials | D575 A1566 D1244 |
| candidate ids (frozen list S304) | C2-005 C2-059 |
Restates the internal subject of house sample G-001 inside the delivered draft set; do not publish both as separate claims. G-006 and G-104 are reissued in this part to reference G-360, removing their dependency on an external sample registry. The theorem wording at p.59 is not a literal Proved label or a scorecard tier. No scientific content or physical status is promoted.
round D1253 · parsed 2026-09-06T00:06Z · machine gates passed: CONTRACT, G1-quote-on-page, G2-numerals-declared, G4-ids-resolve, DAG-acyclic · content sha256 4863b1159c0276dfab45278b33f38dc0f0ffea80f04951801a3a7f318a7a82f1
Reviewer verdict line (one per entry, as text): LIB2-356 | PASS or FAIL(G1–G8) or NOT RUN | quote | PDF page | one sentence. G1 source supports the exact scoped assertion · G2 evidence class fits (numbers ≡ digit source) · G3 labels as printed, not converted · G4 comparison typed · G6 public scope · G7 history real · G8 caution present and true. Machine surfaces: index.json · capsule.md.
Generated from library_v2.jsonl. Declared volatile fields (R36): BUILD_STAMP.
BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02