# LIB2-101 — The registered ladder and phase census contains no selected complex rung ratio

- 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.257)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The census of 29 ladder/family rows against 39 phase/rotation rows registers no phase-bearing ratio q = ϕ⁻¹ exp(iα) selected by one source law fixing both the real rung and a nonzero angle.

## Caution

Commuting scaling and phase candidates do not by themselves select a nonzero phase or its physical attachment.

## Primary source

Appendix N, §6, Complex-ratio ladder census, PDF p.270: "a census of 29 ladder/family rows against 39 phase/rotation rows across the shipped components registers no q = ϕ−1 eiα ;"

## Machine

- url: /library-v2/LIB2-101/
- content_sha256: 133d4a7f44ee54dd2fb078f2851f66935f84df5dc06864be8bbd67e0e41b7194
- candidate_ids: C2-104

## Freshness

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