# LIB2-156 — The direct Markov-second-moment repair has the wrong sign

- 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.131)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The canonical connected Markov second moment is non-negative, while the required binding correction at n = 6,7 is negative; the declared direct second-moment repair lacks the negative energy coefficient needed to reverse the sign.

## Caution

This excludes the declared direct attachment, not every annular operator or an independently derived negative energy map.

## Primary source

Paper 9, §9, Direct annular second-moment attachment, PDF p.136: "the canonical connected Markov second moment is non-negative, whereas the required n = 6, 7 binding correction is negative, so the annular order does not derive the negative energy coefficient that would reverse the sign;"

## Machine

- url: /library-v2/LIB2-156/
- content_sha256: 4e0b4dc922aefbdd89a4fb49603b6465f655450c474a28bbd613f20405e623d8
- candidate_ids: C2-083 C2-128

## Freshness

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