# LIB2-140 — The selected neutrino rung is a below-floor edge target, not a mass relation

- class: CLAIM · review_state: IN_REVIEW · house_tier: not yet assigned
- labels as printed: math_status Structural · attachment NOT_PRINTED · scorecard tier word none (PDF p.80)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The selected rung R2 = 1/(ϕ⁴ − 1) = 0.17082, whose square is 0.02918, is typed as a Δm²21/Δm²31 ratio prediction with m1 = 0 asserted (R144): a JUNO-decidable falsifier that stands only under normal ordering and m1 ≲ 1 meV. Its earlier typing as a below-floor edge target is superseded.

## Caution

The edge does not predict equality with a physical mass ratio or derive normal ordering, the rung assignment or the absolute neutrino mass scale.

## Primary source

Paper 5, §2, Two readings, one family: selected rung, PDF p.84: "at d = 2, mν2 /mν3 = R2 = 1/(ϕ4 − 1) = 0.17082, so the ratio channel reads R22 = 0.02918 against"

## Machine

- url: /library-v2/LIB2-140/
- content_sha256: 4a8de050857299262bffedb215ad228909f37db77b066c6cbb755026ba1af5ed
- candidate_ids: C2-127

## Freshness

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