Claims & Evidence Registrar › H07

LIB2-335 · Source hold on the two distinct Hessian-trace quantities

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

Statement

Scope

domainThe house header comparing a one-loop spectral trace with a Hessian squared trace in its original parametrization.
What this does not show. The missing full comparison is not a finding that either historical trace was arithmetically wrong.

Sources in the suite of record

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 I, §6, Hadronic scope fence: legacy parametrization — PDF p.220 (bytes of record)
blocked on ruling R3 — the cited source is not in the sealed suite; this use cannot be read against Rev33.1 by anyone until that ruling lands (R62 P2, family A). What R3 is: R3 (S310, Trackers/OPEN_ITEMS.md): a source held only in a house file, outside the sealed suite, is admissible when sha-pinned and labelled — the per-use adjudication under R3 has not been made for this use.

The numerical values once attached to this sector — the spectral trace A = 144, the ambient Morse index 17/27, and the baryon/meson ratio MB /MM ≈ 6.7 — were computed in the legacy ambient-27 Hessian parametrization and predate the current {ϕ, 1, ϕ−1 }/OP 2 description.
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_i_dynamics_bounce.tex:541-544): The numerical values once attached to this sector — the spectral trace A=144, the ambient Morse index 17/27, and the baryon/meson ratio M_B/M_M≈6.7 — were computed in the legacy ambient-27 Hessian parametrization and predate the current {ϕ,1,ϕ⁻¹}/𝕆P² description. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryLIBRARY_V2_CANDIDATE_LIST_S304.csv, C2-138; L-A144vsSignLambda2_spectral_trace_vs_hessian_trace.mdC2-138shippedOnly the house filename and numerical comparison header are supplied. The original operators, trace conventions, calculation and current-scope reconciliation are absent.

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-246 Retired legacy baryon-to-meson mass ratio—

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

states a predicateno — a record with no predicate has nothing to clear (NOT_AN_ENTRY)
uses on the record · unblocked1 · 0 (1 blocked on ruling R3)
uses any lane has read0 of 0
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 it states no predicate. 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 NOT_AN_ENTRY 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
candidate ids (frozen list S304)C2-138

Drafting-lane note

C2-138 names A=144 versus Σλ²=267, but supplies no body defining their operators and normalizations. The suite explicitly places A=144 in the legacy ambient-Hessian parametrization; that does not recover the full two-trace comparison. Numerical matches to 267 elsewhere do not identify the missing quantity. The separate baryon/meson-number retirement does not retire this arithmetic by association.

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 0d52554aa010e76bc68a24f4b49838751ca100eafaebf04b0fbc246eeba8a371

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-335 | 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