Claims & Evidence Registrar › H10

LIB2-308 · Derive the sign that selects the atmospheric-octant registration

class OPENmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state IN_REVIEWentry version 7

Statement

Can a registered odd coupling with a theory-fixed sign exclude the mirror atmospheric-octant registration without using the target angle, phase or observed charge-sign data?

Scope

carrierThe chirality and octant torsors and a prospective odd coupling
domainThe physical octant-sign selection, not the internal mismatch identity.
What this does not show. An odd carrier alone does not derive the physical lower-octant attachment or alter the internal mismatch identity.

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 Rev33.2 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.

Appendix N, Part N.E, Atmospheric-octant reopen condition — PDF p.274 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

a registered loaded odd object Ω23 with a theory-fixed sign in a coupling such as Slink = −κ χodd cos 2θ23 , plus a pre-registered mirror control proving the countermap impossible without using θ23 , δ, or observed charge-sign data.

Appendix N, Part N.E, Unexcluded mirror registration — PDF p.274 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

no registered action term, operator, intertwiner or readout map excludes the countermap.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryAppendix N Part N.E, atmospheric-octant fence and reopen condition, p.257—shippedThe source states the missing sign-fixing object and mirror-control requirement. No coupling or control is constructed here.

Open problem

charter refRev32.7 Appendix N Part N.E, p.257; A1566/D1244
failure or reopen conditionInstalling an odd carrier without fixing its coupling sign, or using the observed target to choose a registration, does not satisfy the printed reopen condition.
obstructionThe registered chirality interface permits the mirror identification as well as the chosen one; no registered coupling excludes the countermap.
questionCan the source’s odd-object and mirror-control requirements select the physical octant registration?
success conditionSupply the registered odd object with a theory-fixed coupling sign and a pre-registered mirror control excluding the countermap without the target angle, phase or observed charge-sign data.

Typed links

typetargetlicensed by
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—
related_to (never evidential)LIB2-241 Retired claim that the chirality interface selected the atmospheric octant—

Why this record is not PUBLISHED (R67, condition T-B)

states a predicateyes
uses on the record · unblocked2 · 2
uses any lane has read2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesno (0)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Not PUBLISHED because no use on it has been read as SUPPORTS by two non-drafting lanes on different objects. The transition is written only by the R67 producer and recomputed by a gate on every build; no person promotes a record by hand.

Machine certificate (R68)

stateMACHINE_CHECKS_PASSED
policysgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311
bound to master7741cea71a606911 (the master the checks ran on; issued 2026-10-07T22:02Z)
checks
checkresultreason
schema_validPASSexercised
basis_currentPASSexercised
quote_locatedPASSexercised
labels_literalN/Aclass OPEN not governed by the source_labels rule
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 s1156
candidate ids (frozen list S304)C2-005 C2-059

Drafting-lane note

This is the OPEN successor to the nonselection result G-104 and retired selector wording G-245. The source gives an example coupling, not an already registered sign-fixing law.

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 d4eab82722231d4e77e2ed5e0507e7c19e1c9f7dd568eda8e4b616ec379369eb

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-308 | 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 S398a · 2026-10-08T02:02Z · master ce86ef9d3e000f28 · cut b6fdbc7745cbd4cd