# LIB2-137 — The cone expansion uses a spectral background rather than stationarity of the cubic

- 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.209)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The source organizes the cone expansion at Jvac by the Hessian spectrum rather than stationary phase of N, because ∇N ≠ 0 there.

## Caution

This expansion prescription does not establish a stationary or stable vacuum of a different gauged or sourced action.

## Primary source

Appendix I, §6, Remark 6.4(i): spectral background, PDF p.219: "The vacuum is a spectral background, not a saddle: Jvac is selected by the eigenvalue structure of G, not by ∇N = 0 (indeed ∇N = ̸ 0 there),"

## Machine

- url: /library-v2/LIB2-137/
- content_sha256: 931e354fda7fde3f4cb37fc5af47db13fc0f09e6815e6dab401f6e3702d5d32f
- candidate_ids: C2-171

## Freshness

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