# LIB2-169 — The Euclidean MM/EH action has the stated conformal instability

- class: CLAIM · review_state: IN_REVIEW · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.304)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The Euclidean MacDowell–Mansouri/Einstein–Hilbert action is unbounded below in the conformal direction in the registered convention.

## Caution

This sign obstruction does not exclude regulated positive measures or a constrained completion outside the pure weight.

## Primary source

Appendix T, §6, Theorem 6.7: conformal-mode obstruction, PDF p.321: "the Euclidean MM/EH action is unbounded below in the conformal direction"

## Machine

- url: /library-v2/LIB2-169/
- content_sha256: 5eb73e0c40aebc1bc81e7be15a29c11f2df3373609e12a8ab69da0dc4e737b00
- candidate_ids: C2-086

## Freshness

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