# LIB2-037 — The declared frame-free invariant class has no nonzero dark response

- 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.166)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The declared class Cff of twice-differentiable scalars invariant under the diagonal E7(7) action, with no spurion and a point source space, has no law with a nonzero dark response.

## Caution

A basepointed full-carrier response exists outside this frame-free reading; its basepoint is convention-loaded.

## Primary source

Appendix E, §6(ii), Frame-free diagonal-invariant scalar class, PDF p.173: "For the class Cff of C 2 scalars on (E7(7) /SU (8)) × OB that are invariant under the diagonal E7(7) action, with no spurion and a point source space — declared before testing — there is no law with a nonzero dark response:"

## Machine

- url: /library-v2/LIB2-037/
- content_sha256: 0248dcee47a0bf641325f2de9de0f5718a9e3511a14cb06c03985e8019ef353c
- candidate_ids: C2-105

## Freshness

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