Claims & Evidence Registrar › H05

LIB2-104 · The bare quartic is not stationary at the registered golden boundary point

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

Label sentence at the locator (PDF p.277 (bytes of record)):

z0 is not a critical point of the bare quartic. Direct computation gives dI4 (z0 ) ̸= 0,

Statement

At the registered split-real golden boundary point z0, dI4(z0) ≠ 0, so the bare quartic cannot by itself select that point as a stationary vacuum.

Scope

carrierThe bare quartic I4 at the registered golden boundary point z0
domainStationarity of the bare quartic only, not the constrained potentials treated elsewhere.
hypothesesRetain the declared split real form.; Appendix Q assigns its statements conditional tier on the κphys candidate mechanism.
quantifierThe declared source class only.
real formDeclared split real form
What this does not show. Nonstationarity of the bare quartic does not contradict stationarity of a separately constrained or sourced action.

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.

Appendix Q, §3(i), Bare-quartic gradient — PDF p.292 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

z0 is not a critical point of the bare quartic. Direct computation gives dI4 (z0 ) ̸= 0,
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_q_golden_vacuum_spectrum.tex:79-80): z₀ is not a critical point of the bare quartic. Direct computation gives dI₄(z₀)≠0, (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix Q, §3(i), Distinct constrained stationarity results — PDF p.292 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

This does not touch the stationarity results proved elsewhere for the constrained objects of this appendix

Appendix Q, §4, Conditional status — PDF p.292 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

Everything in this appendix: conditional tier, on the κphys candidate mechanism.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryA1481; Appendix Q §3(i), p.277—shippedThe suite reports the nonzero gradient and its constrained-action fence; the original calculation is not supplied.

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
0PDF p.277 (bytes of record)closed form: dI4(z0) is nonzero as printed in Appendix Q §3(i)
4PDF p.277 (bytes of record)closed form: dI4(z0) is nonzero as printed in Appendix Q §3(i)

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-079 The scanned dyonic completion hosts a classical algebra-type shadow—

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 (1)
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
serialsA1481
candidate ids (frozen list S304)C2-042

Drafting-lane note

Source-backed missing proposal T4-16, associated with nearest vacuum candidate C2-042. The source’s conditional tier and split-real premise are retained; no new scalar-potential analysis is undertaken.

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 977583e35e0fda3585fa223ff24315a5992f395b40eec756cdd0d716819ece5b

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-104 | 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