# LIB2-135 — The spectral-gap model imposes its self-consistency through the lifted cone trace

- 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

In the stated spectral-singularity model, T(ε) = A/ε and ε = m² = αA give αT = 1 and the scale relation Λ² = αA.

## Caution

The relation does not determine a numerical confinement scale independently of its coupling and calibration inputs.

## Primary source

Appendix I, §6, Proposition 6.3: trace and self-consistency, PDF p.218: "Lifting the null-cone eigenspace by a mass ε gives a spectral trace T (ε) = A/ε, with A the trace of the cone Hessian over the lifted sector."

## Machine

- url: /library-v2/LIB2-135/
- content_sha256: 34ea7dfca662c55c866d89d4dbcbb06dc465d073d01e0059bf4ba228232f6423
- candidate_ids: C2-160

## Freshness

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