# LIB2-187 — The unadopted response alternatives retain distinct meanings

- 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.317)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

PREMISE-UNIT-RESPONSE would impose |λµ| = √2, whereas DECLINED imposes no quotient-tier response-isometry premise and leaves |λµ| ≤ √2 with one continuous magnitude; neither alternative was adopted.

## Caution

Neither alternative enters the physical spectral-pair gate, and declining an isometry premise does not fix the response to zero.

## Primary source

Appendix T, §15.4, Unit-response isometry alternative, PDF p.335: "RESPONSE (the cross-object isometry ∥Dφ ∥HS = |λµ| ∥Hsgn ∥HS , hence |λµ| = 2, the D1238 leg"

## Machine

- url: /library-v2/LIB2-187/
- content_sha256: 6f4b1409acd27695434b54185a705cdc902788585329989b11f93de0176e7052
- candidate_ids: C2-131

## Freshness

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