Claims & Evidence Registrar › H05

LIB2-093 · Golden-torus robustness does not select the coupling in the tested dissipative model

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 9

Label sentence at the locator (PDF p.252 (bytes of record)):

in a Frenkel–Kontorova / Peierls–Nabarro setting an energy/dissipative principle mode-locks to rationals; the golden value is the unpinned, freely sliding extreme (s261).

Statement

In the registered Frenkel–Kontorova/Peierls–Nabarro comparison, an energy or dissipative principle mode-locks to rationals, while the golden value slides freely below the Aubry threshold Kc = 0.971635 and pins at and through it.

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 golden-torus robustness and dissipative mode-locking comparison
domainRobustness versus coupling selection in these registered models.
hypothesesUse the standard-map and Frenkel–Kontorova/Peierls–Nabarro settings named in Appendix N, Leg 3.
quantifierThe declared source class only.
What this does not show. The comparison does not exclude all stabilization mechanisms; it does not turn robustness into a derivation of a coupling.

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, §1.3, Leg 3: mode-locking comparison — PDF p.264 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

in a Frenkel–Kontorova / Peierls–Nabarro setting an energy/dissipative principle mode-locks to rationals; the golden value slides freely below the Aubry threshold Kc = 0.971635 and pins at and through it

Appendix N, §1.3, Robustness is not a selector — PDF p.264 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

Noble stabilization is a robustness fact, not a mechanism that fixes a coupling.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
computationals260, s261; Appendix N §1.3, p.252—unknownThe source reports the two model probes; no stabilization or mode-locking computation is rerun here.

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-092 Near-137 golden formulas carry no selection evidence under the stated density test—

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 (1)
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-F03
A1647
PREDICATECLOSED 2026-09-17The predicate says that in the registered FK/PN comparison the golden value is the unpinned, freely sliding extreme, with no coupling regime. The registered comparison itself (s261) finds the golden convergents unpinned only BELOW the Aubry threshold K_c = 0.971635 and pinning through it (golden_pins_through_Kc: true). The regime qualifier was dropped in the suite text and in the predicate.
How it was closed: R133 D-2 (PI, S342): LIB2-093 re-typed by R130 row 15 (slides below Kc, pins through it); uses REVIEWED in round 21.
appendix_n_selector_fences.tex:73–78; Kernels/e7_substrate/s261_selection_vs_robustness_and_selector.json (golden_unpinned_below_Kc true, golden_pins_through_Kc true, PN barrier grows with K across 0.80–1.10); external: Aubry transition (A1647 EXTERNAL_REFERENCES).
paper: REV33.2_PENDING S329·A1647 item 3
closed

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
serialss260 s261
candidate ids (frozen list S304)C2-137

Drafting-lane note

The current robustness-not-selection fence is associated with C2-137 for coverage, not presented as its old reduction claim. No critical-coupling decimal or new physical interpretation is added.

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 0a05b391eddd0b7d29b6d7718711be84fcf82a4ce0b12bf33d4e1b6879f6e4a9

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-093 | 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