# LIB2-080 — The shadow family cannot reproduce the registered matter multiset

- 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.180)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The residual-class su(3) has only four singlets in the full 56, while the matter pattern requires nine inside a 27-plane; no point of the stated SO(6,2)/SO*(8) vacuum family carries that matter multiset.

## Caution

This failure does not remove the classical shadow algebra; it rejects its identification with the required matter-charge pattern.

## Primary source

Appendix F, §5.2, Remark 5.2(b2): singlet count, PDF p.186: "four su(3)-singlets in the entire 56, while the matter pattern requires nine inside a 27-plane."

## Machine

- url: /library-v2/LIB2-080/
- content_sha256: 5610dade052163bf1c2aef313bdaac60a2bca7f40aaac664d847451c5db40b3b
- candidate_ids: C2-042

## Freshness

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