# LIB2-025 — The loaded-plane defect algebra determines the selector eigenspaces

- 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.170)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The loaded plane PB forces the 26 ⊕ 10 interior split, and its symplectic transport defect, with the commuting joint pair (QP,QΔ) — words of degree at most 2 in QP and QΔ — produces all five QT eigenspaces once their two-dimensional common kernel, on which every polynomial in the pair is scalar, is split by the top Hessian projector of the banked golden form η.

## Caution

This subspace construction does not select the loaded plane, the eigenvalue weights or a unique nonlinear action.

## Primary source

Appendix E, §7, Forced interior split, PDF p.176: "PB forces the exact 26 ⊕ 10 eigenspace split"

## Machine

- url: /library-v2/LIB2-025/
- content_sha256: 6e402c44423cef27ba73ddccb1de78be49499cb2c80f8b086a894605311e7471
- candidate_ids: C2-106

## Freshness

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