IN_REVIEW — NOT CITABLE. Under coalition review; not house-adjudicated. This page was generated (build S371a) from a drafting-lane record. Clearance here is a MACHINE CERTIFICATE under the ruled policy (v1.0 RATIFIED, R68), not a review: it is MACHINE_CHECKS_PASSED — contract · quote-on-page · declared numerals: N/A — this record declares no suite labels to check · id resolution · acyclic graph · basis current — and that is a statement about the intake gates, not scientific clearance. It is NOT HOUSE_ADJUDICATED: no person has signed off on this record, and 0 of 357 records have been. No tier has been assigned by the house; every label shown is the label as printed in the suite of record (Rev33.1_S369 (PDF sha256 b64ddcd9e16a6dcd…)). Adversarial review by a lane that did not draft it is also still owed. Nothing on this page may be cited as a result of the programme until its state reads PUBLISHED — a state written only by the R67 transition producer when a REVIEWED SUPPORTS use, read by two non-drafting lanes, stands on the record's predicate.

LIB2-307 · Construct the interacting chiral determinant-line trivialization

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 the interacting chiral determinant line be trivialized in a gauge-invariant, reflection-compatible and globally phase-consistent way?

Scope

carrier	The interacting chiral determinant line
domain	The interacting chiral measure, distinct from the registered free-sector determinant calculation.

What this does not show. The free determinant and anomaly checks do not establish a positive interacting chiral measure.

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, §7, Proposition 7.5: interacting chiral boundary — PDF p.322 (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 free sector is closed, the interacting chiral sector is open.

Appendix T, §7, Proposition 7.5: named missing trivialization — PDF p.322 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

The named missing object is tdet , a gauge-invariant, reflection-compatible, globally phase-consistent trivialization of the chiral determinant line — anomaly cancellation is necessary but not sufficient.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	Appendix T §7, Proposition 7.5, p.305	—	shipped	The suite names tdet and the necessary compatibility conditions. No interacting determinant-line construction or positivity proof is supplied.

Open problem

charter ref	Rev32.7 Appendix T §7, Proposition 7.5, p.305
failure or reopen condition	A free-sector positive determinant or anomaly cancellation alone does not discharge this construction.
obstruction	Free quaternionic positivity is not generic; anomaly cancellation alone is not sufficient to produce the interacting determinant-line trivialization.
question	Does a trivialization tdet satisfying the three stated compatibility conditions exist?
success condition	Construct a gauge-invariant, reflection-compatible, globally phase-consistent trivialization of the chiral determinant line.

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-188 The registered free quaternionic fermion determinant is non-negative	—
`related_to` (never evidential)	LIB2-109 The loaded one-generation dictionary cancels the stated anomalies	—
`related_to` (never evidential)	LIB2-170 A reflection-positive Cartan state exists at finite regulator	—

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

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	no (0)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

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)

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

check	result	reason
`schema_valid`	PASS	exercised
`basis_current`	PASS	exercised
`quote_located`	PASS	exercised
`labels_literal`	N/A	class OPEN not governed by the source_labels rule
`edges_resolved`	PASS	exercised
`bindings_valid`	PASS	exercised

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) antecedents	no legacy antecedent identified
Track-2 claim ids	F-RP-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.
serials	A1442 s920
candidate ids (frozen list S304)	C2-094

Drafting-lane note

Source-backed missing proposal T4-19 is recorded as OPEN. C2-094 supplies the nearest finite-measure candidate, not a claim that its finite state has solved the interacting chiral problem.

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 59ba5b3392fa89b6125cfb6a4795233f68881b534b9633ba18d0c8a9b325a49f

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-307 | 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