# LIB2-044 — A beat-invariant potential in the declared KN class cannot isolate the dark ray

- 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.167)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

In the declared unshifted zero-level quadratic-carrier Kempf–Ness class, no beat-invariant potential isolates the selector ray [W0].

## Caution

A beat-breaking spurion, dropping the clock circle or leaving the KN family exits this declared class; none is ruled out universally.

## Primary source

Appendix E, §6(vii), Beat-transitivity obstruction, PDF p.174: "no beat-invariant KN potential isolates [W0 ] (the beat-transitivity no-go)."

## Machine

- url: /library-v2/LIB2-044/
- content_sha256: d4e98a452d2f50b944fa8f88e65e1b73115b22acf971b839d2239607beda1d5c
- candidate_ids: C2-108

## Freshness

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