Claims & Evidence Registrar › H04

LIB2-002 · Physical atmospheric registration of the internal 7/16 mismatch

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) Loaded-correspondencescorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 9

Label sentence at the locator (PDF p.59 (bytes of record)):

The current physical θ23 row is therefore Loaded-correspondence; the number and the internal theorem do not move.

Statement

The registration sin²θ₂₃ = 7/16 is a Loaded-correspondence: the chirality and octant torsors admit exactly two equivariant bijections, and the registered map chooses one by convention.

Parts of the statement (3)

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.

Scope

carrierChirality torsor and atmospheric-octant torsor
domainPMNS atmospheric mixing
groupZ2-equivariant registrations
hypothesesThe internal mismatch identity is recorded separately in G-360.; The registered chirality-to-octant correspondence chooses one equivariant bijection by convention.
physical targetsin²θ₂₃ = 7/16, lower-octant registration
quantifierThe retained physical registration, not every equivariant identification.
What this does not show. This registration does not derive the physical atmospheric octant. Excluding the loaded physical target does not by itself refute the internal mismatch identity unless the readout attachment is first derived.

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.

Sources in the suite of record

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, What survives, and it is not nothing — PDF p.64 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · chatgpt read SUITE_TEXT_EXTRACT → 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.

Paper 3, §5.4, Current physical attachment — PDF p.64 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · chatgpt read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The current physical θ23 row is therefore Loaded-correspondence; the number and the internal theorem do not move.

Paper 3, Box: One tension that must print beside its tier — PDF p.64 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · chatgpt read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

sits 2.3σ from the NuFIT 6.1 NH global best fit of 0.470. That is real falsification pressure on the framework’s sharp loaded lower-branch target

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryA1566/D1244, as reported in Paper 3 §5.4, PDF p.59—shippedAvailability refers to the supplied suite passage, not to the original assessment or its computational payload.
computationals501, named in Paper 3 §5.4, PDF p.59—unknownThe suite reports a convention-selected candidate map, not a selector. The kernel and its output were not supplied here.

The numbers this record declares, and where each one's digits come from

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 printedpagedigit source
7/16PDF p.59 (bytes of record)closed form: internal mismatch corollary of DET-7 + N(J)=1, printed beside its physical-registration fence
2.3σPDF p.60 (bytes of record)suite text p.60 only (no kernel line found); comparison copied without recalculation
0.470PDF p.60 (bytes of record)source ledger SL-25; the same central value is printed on p.60

Comparison relation (as printed; no σ computed here)

comparatormethod as printeddistance as printedpagescorecard-eligible as printed
SL-25 NuFIT-6.1 sin2theta23 NHdistance from the NuFIT 6.1 NH global best fit2.3σPDF p.60 (bytes of record)

Premises this record rests on (qualified uses)

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.

usestatepremiserolewhy the house declared it · reads
USE-0001REVIEWED by lanes (R49c)PRM-012 (PRM-012/r1) — Correspondence map algebra to SMreadout_choiceIts own statement: the registration 'is a Loaded-correspondence ... the registered map chooses one by convention'. That is the correspondence-map premise exactly.
  • gemini · NOT_LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · NOT_LOAD_BEARING · THE_RECORD (D1349)

Typed links

typetargetlicensed by
depends_onLIB2-356 The internal mismatch identity is distinct from atmospheric registrationPaper 3 p.59: the separate internal mismatch identity is a corollary, and the following paragraph describes its registration to the physical atmospheric octant.
compares_withSL-25 NuFIT-6.1 sin2theta23 NHPaper 3 p.60 prints the distance from the NuFIT 6.1 NH global best fit; Appendix X p.325 identifies its asymmetric atmospheric comparator.
rests_on_premisePRM-012 Correspondence map algebra to SM—

Why this record is PUBLISHED (R67, condition T-B)

states a predicateyes
uses on the record · unblocked3 · 3
uses any lane has read3 of 3
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (2)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Machine certificate (R68)

stateMACHINE_CHECKS_PASSED
policysgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311
bound to masteraad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)
checks
checkresultreason
schema_validPASSexercised
basis_currentPASSexercised
quote_locatedPASSexercised
labels_literalPASSexercised
edges_resolvedPASSexercised
bindings_validPASSexercised

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.

History

March library (v1) antecedentsno legacy antecedent identified
Track-2 claim idsD-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.
serialsA1566 D1244 s501
candidate ids (frozen list S304)C2-005 C2-059

Drafting-lane note

Corrected reissue of G-006: the internal identity is now G-360 rather than house sample G-001, so the complete draft resolves without the sample registry. scorecard_tier_word is null because the p.59 locator is local prose, not a scorecard/State Map tier row; the printed attachment remains Loaded-correspondence. The statement, comparator and scientific content are unchanged. Do not publish house sample G-002 as a second physical claim.

Receipt

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 b8d4b0e005af4b17daf506288ac1f7d6f67ea47d76ab0e705904126010a5f9bf

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-002 | 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