Claims & Evidence Registrar › H07

LIB2-164 · The draft glueball pair falls in the two printed frozen bands

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 8

Label sentence at the locator (PDF p.131 (bytes of record)):

is banked at draft tier with its normalization derivation recorded (A1350–A1352).

Statement

At draft tier, the glueball pair has m(0⁺⁺)/√σ = 3.4777 in [3.3,3.9] and m(2⁺⁺)/m(0⁺⁺) = √2 in [1.3,1.6].

Parts of the statement (2)

Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.

Scope

carrierThe draft vacuum-normalized annulus-correlator glueball construction
domainThe two source-printed dimensionless readouts and frozen bands.
hypothesesUse the registered annulus saddle and correlator normalization.
physical targetDimensionless glueball pair
quantifierThe registered construction and its stated premises.
What this does not show. The band matches are draft-tier source reports, not a continuum Yang–Mills construction or an absolute glueball-scale derivation.

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.

Paper 9, Table 1, Glueball pair — PDF p.135 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

m(0++ )/ σ √8π log φ = 3.4777 in band [3.3, 3.9] m(2++ )/m(0++ ) 2 in band [1.3, 1.6]
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p9_nuclear_cluster_tier.tex:337-338): m(0⁺⁺)/√(σ) √(8π log φ)=3.4777 in band [3.3,3.9] m(2⁺⁺)/m(0⁺⁺) √2 in band [1.3,1.6] (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Paper 9, §8, Draft-tier glueball chain — PDF p.135 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The glueball chain — the annulus functional E(R) as the − log of a vacuum-normalized closed Markov correlator, saddle m2 /σ = 4π∆ with ∆ = 2 log φ, the Lüscher vacuum term correctly cancelling in the correlator ratio — is banked at draft tier with its normalization derivation recorded (A1350–A1352).

Paper 9, §11, Continuum and scale boundary — PDF p.139 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

What is not claimed: no continuum functor, no Clay claim, no derived charge magnitudes, no shell model beyond {2, 8}, and no absolute scale

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryA1350–A1352; Paper 9 Table 1 and §8, p.131—shippedThe pair and its frozen bands are reported in the suite. The annulus calculation, original band declarations and outputs are 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.131 (bytes of record)suite text p.131 only (no kernel line found); displayed glueball pair and frozen bands
2PDF p.131 (bytes of record)suite text p.131 only (no kernel line found); displayed glueball pair and frozen bands
3.4777PDF p.131 (bytes of record)suite text p.131 only (no kernel line found); displayed glueball pair and frozen bands
3.3PDF p.131 (bytes of record)suite text p.131 only (no kernel line found); displayed glueball pair and frozen bands
3.9PDF p.131 (bytes of record)suite text p.131 only (no kernel line found); displayed glueball pair and frozen bands
1.3PDF p.131 (bytes of record)suite text p.131 only (no kernel line found); displayed glueball pair and frozen bands
1.6PDF p.131 (bytes of record)suite text p.131 only (no kernel line found); displayed glueball pair and frozen bands

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-153 The freeze-state ledger records sharp passes and a separately typed obstruction—

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 (2)
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
Track-2 claim idsE-LED-01, G-NUC-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.
serialsA1350 A1351 A1352
candidate ids (frozen list S304)C2-078 C2-099

Drafting-lane note

The pair is one source-printed draft construction associated with C2-078/C2-099; the overview is not treated as a new theorem. The table quote preserves displaced radicals. No independent statistical comparison or spectrum calculation is made.

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 cd10a66eeab4496f8a869b3b99c34210d7c8558eb98ea08c6f2c058a3b325caf

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-164 | 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