# LIB2-047 — The working golden vacuum has unit Jordan determinant

- 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.25)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

At the working vacuum Jvac = diag(ϕ,1,ϕ⁻¹), the Jordan determinant is det Jvac = 1.

## Caution

Unit determinant alone does not select the golden spectrum; Appendix E uses it as a normalization hypothesis.

## Primary source

Paper 1, §3, Roman-surface paragraph: vacuum adjoint, PDF p.26: "The vacuum Jvac = diag(ϕ, 1, ϕ−1 ) satisfies Jvac # = diag(ϕ−1 , 1, ϕ) = J −1 (Jordan inverse), consistent vac with det Jvac = 1."

## Machine

- url: /library-v2/LIB2-047/
- content_sha256: f1f16ca6fbecd42f4d9829f442101dc75965ec9e03ece4928375d4f7d42af1aa
- candidate_ids: C2-002

## Freshness

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