Claims & Evidence Registrar › H10

LIB2-005 · Joint basepoint and microscopic observation-map construction

class OPENmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state IN_REVIEWentry version 7

Label sentence at the locator (PDF p.317 (bytes of record)):

It is the joint construction of a theory-selected basepoint subgroup and a microscopic support-restoring observation map; only after both exist may the spectral-pair/output gate be opened [A1553–A1561].

Statement

Can a theory-selected basepoint subgroup and a microscopic support-restoring observation map be constructed jointly, as required before the physical spectral-pair/output gate may be opened?

Scope

carrierUnpointed 27 and the microscopic mass/generation readout
domainAppendix T §15.5–15.6; not the already constructed OMOS record quotient
groupA subgroup Hbp of E6(6), not yet selected
hypothesesRegister the subgroup before naming any vector or frame.; Its action must have a single non-null fixed line; cubic normalization selects a point subject to trivial residual-normalizer action.
physical targetMicroscopic spectral-pair/output gate
quantifierA joint construction meeting the printed source requirements.
real formE6(6)
What this does not show. The constructed OMOS record quotient is not the missing microscopic mass/generation observation map; entering its output gate is not asserted to derive a physical mixing matrix.

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.

Appendix T, §15.5, Intrinsic-basepoint placeholder — PDF p.335 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

A future intrinsic selector must register, before naming any vector or frame, a subgroup Hbp ⊂ E6(6) whose action on the unpointed 27 has a single non-null fixed line. The cubic normalization N (x0 ) = 1 would then select one real point on that line, subject to the residual normalizer acting trivially.

Appendix T, §15.5, Placeholder boundary — PDF p.335 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

No subgroup is selected by this placeholder; without one, the transported point remains declared rather than intrinsically derived.

Appendix T, §15.6, State after the fold — PDF p.335 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

It is the joint construction of a theory-selected basepoint subgroup and a microscopic support-restoring observation map; only after both exist may the spectral-pair/output gate be opened [A1553–A1561].

Appendix T, Named datum 10.7, OMOS level fence — PDF p.327 (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

the microscopic mass/generation observation map Ogen — the map that would read the noncommuting pair (Yu , Yd ) and a relative left frame off the parent — is a distinct object and is not built (§15, face 6).

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryAppendix T §15.5–15.6, PDF p.317; A1561 and the A1553–A1561 fold—shippedThe supplied text states the outstanding construction; it is not a completion certificate.

Open problem

charter refRev32.7 Appendix T §15.5–15.6, p.317; A1553–A1561
failure or reopen conditionA placeholder subgroup, the supported record quotient alone, or a declared response amplitude does not discharge this joint obligation. The existing basepoint exclusion is confined to the shipped candidate universe.
obstructionThe intrinsic basepoint is absent over the complete shipped candidate universe; the subgroup placeholder selects nothing, and the record quotient is not the microscopic mass/generation map.
questionCan a theory-selected basepoint subgroup and a microscopic support-restoring observation map be constructed together?
success conditionRegister a subgroup before choosing a vector or frame, with the printed single non-null fixed-line and residual-normalizer conditions, and construct the microscopic support-restoring observation map; both are required before entering the spectral-pair/output gate.

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-174 The record-quotient observation composite is unique under its seven premises—
related_to (never evidential)LIB2-175 The supported MOS quotient has rank three and relative rank two—
related_to (never evidential)LIB2-178 The locked basepoint census has no qualifying intrinsic datum—
related_to (never evidential)LIB2-186 The unit grade-four response is a declared premise—

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

states a predicateyes
uses on the record · unblocked4 · 4
uses any lane has read4 of 4
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 masteraad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)
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-OBS-01, F-FAITH-01, G-FRONT-01, F-CARR-01 — 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.
serialsA1561
candidate ids (frozen list S304)C2-067 C2-088 C2-097 C2-133

Drafting-lane note

Corrected reissue of G-009: charter_ref now names only the suite locator, removing the dispatch reference. Coverage now includes C2-067, C2-097 and the output-gate clause of C2-133. The joint question is unchanged; G-182 retains the separate bounded basepoint census. C2-132 remains placeholder metadata, not a constructed subgroup.

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 d411996595c7f6e928b57e141aec0a7cfa13dd33ab79685f94f1c361736dc91e

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-005 | 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