# LIB2-041 — A frame-free invariant does not select the ordered Peirce frame

- 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

A frame-free F4-invariant can at best select the spectral orbit of Jvac, not its ordered frame; at a stationary point on the registered orbit it has at least 24 Hessian zero modes.

## Caution

Selecting an ordered frame requires a loading or symmetry-breaking tensor; this result does not exclude selection with that additional datum.

## Primary source

Appendix E, §6(vi), Frame-free orbit obstruction, PDF p.174: "a frame-free F4 -invariant can at best select the spectral orbit [Jvac ]F4 ; it can never isolate the ordered frame diag(φ, 1, φ−1 )."

## Machine

- url: /library-v2/LIB2-041/
- content_sha256: 5fc660466ebc218e3384ff92c10c25f4567bc762fc17006b022a47a13e7243ad
- candidate_ids: C2-102

## Freshness

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