# LIB2-110 — The loaded split-octonion cubic has a nonzero invariant trilinear

- 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.228)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The split-octonion trilinear T(c,b,a) = Re(c·(b·a)) is nonzero and invariant under Der(Os) in the registered loaded cubic channel.

## Caution

The existence of this invariant does not establish its uniqueness or determine physical Yukawa coefficients.

## Primary source

Appendix K, §2.1, Theorem 2.1: trilinear, PDF p.239: "T (c, b, a) = Re c · (b · a)"

## Machine

- url: /library-v2/LIB2-110/
- content_sha256: 66c7534e7903234eac5d74531e82254d85c9175413a42408935840b4e526c822
- candidate_ids: C2-052

## Freshness

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