# LIB2-019 — Route A selects the positive golden spectrum under its stated hypotheses

- 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.164)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

A positive real diagonal Jvac satisfying unit determinant, inversion symmetry and DET-7 has spectrum {ϕ,1,ϕ⁻¹}, unique up to permutation.

## Caution

The theorem selects a spectral orbit only; it neither derives DET-7 nor selects an ordered physical Peirce frame.

## Primary source

Appendix E, §3, Theorem 1: symmetry-form selector, PDF p.170: "A real positive diagonal Jvac ∈ J3 (Os ) satisfying (H0)–(H2) is unique up to permutation:"

## Machine

- url: /library-v2/LIB2-019/
- content_sha256: 45087f33b267c3a0bf1f5263a6eb47481f9a1a405f3e2d8656d3eeb52b15a560
- candidate_ids: C2-102

## Freshness

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