Claims & Evidence Registrar › H05

LIB2-092 · Near-137 golden formulas carry no selection evidence under the stated density test

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.252 (bytes of record)):

Scale-free ratios built from φ populate the neighbourhood of 137 densely; under a controlled density discipline (a Beatty/Wythoff admissibility count), a near-137 hit is expected by chance and therefore carries no selective information.

Statement

Under the registered Beatty/Wythoff admissibility count, golden scale-free ratios densely populate the neighbourhood of 137, so a near-137 hit carries no selective information.

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

carrierGolden scale-free ratios in the registered admissibility count
domainThe tested near-137 formula family, not a probability law over every possible theory.
hypothesesUse the controlled density discipline described in Appendix N, Leg 2.
quantifierThe declared source class only.
What this does not show. This density result does not derive the electromagnetic coupling or assign a global significance to arbitrary formulas.

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 N, §1.2, Leg 2: golden numerology density — PDF p.264 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

Scale-free ratios built from φ populate the neighbourhood of 137 densely; under a controlled density discipline (a Beatty/Wythoff admissibility count), a near-137 hit is expected by chance and therefore carries no selective information.

Appendix N, §1.2, Closeness is not evidence — PDF p.264 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · the lanes disagreed; resolved by PI ruling R89 as SUPPORTS — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

The “it is close” observation is a numerology-class artifact, not evidence.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
computationals258, s259; Appendix N §1.2, p.252—unknownThe suite reports the controlled density test; its admissibility table, code and outputs are not supplied here.

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
137PDF p.252 (bytes of record)suite text p.252 only (no kernel line found)

Why this record is PUBLISHED (R67, condition T-B)

states a predicateyes
uses on the record · unblocked2 · 2
uses any lane has read2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (2)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Referee findings (R73)

Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.

findingscopestatewhatevidenceaffects this record's predicate?
A1647-U2
A1647
UNSUREUNSUREThe paragraph names a Beatty/Wythoff admissibility count but prints no candidate set, cutoff, tolerance or denominator, so the no-selective-information conclusion is not quantified in the text. The registered count may justify it; not re-run.appendix_n_selector_fences.tex:68.
paper: REV33.2_PENDING S329·A1647 item 9
open question (UNSURE)

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
serialss258 s259
candidate ids (frozen list S304)C2-137

Drafting-lane note

Current source-printed alpha fence associated with nearest candidate C2-137. It does not reinstate that retired quaternionic-reduction programme; the historical retirement remains a separate H09 record.

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 73d33b921bdc8205833fb0b0c5bb8cf1eef52904d400c7b7eadad81dbbefd492

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-092 | 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