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

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.252)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## 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.

## Caution

The comparison does not exclude all stabilization mechanisms; it does not turn robustness into a derivation of a coupling.

## Primary source

Appendix N, §1.3, Leg 3: mode-locking comparison, PDF p.264: "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"

## Machine

- url: /library-v2/LIB2-093/
- content_sha256: 0a05b391eddd0b7d29b6d7718711be84fcf82a4ce0b12bf33d4e1b6879f6e4a9
- candidate_ids: C2-137

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP