IndisputableMonolith.URCAdapters.LawfulNormalizer
The LawfulNormalizer module supplies a prop-level witness that the trivial normalizer at λ=1 satisfies stationarity and scaling invariance under current abstract obligations. It acts as a placeholder for the concrete λ_rec bridge in the URCAdapters domain of Recognition Science. Researchers developing the ethics alignment hook would cite this as an interim step. The module declares sibling objects including LawfulNormalizer and uniqueness results without concrete implementation.
claimA trivial normalizer $N$ at $λ=1$ satisfies stationarity and scaling invariance under the abstract obligations, serving as a witness for the lawful normalizer structure.
background
This module sits in the URCAdapters domain and imports Mathlib. It declares LawfulNormalizer together with the sibling results lambda_rec_unique and lawful_normalizer_exists_unique. The supplied doc-comment states that the witness stands in for the concrete λ_rec bridge and will be refined when the ethics alignment hook is exposed. The setting concerns stationarity and scaling invariance for normalizers in the Recognition framework.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module provides an interim witness for the λ_rec bridge and feeds the development of lawful normalizers in the Recognition Science framework. It will be refined when the ethics alignment hook is exposed, per the module doc-comment. The structure supports uniqueness results for the normalizer at the trivial λ=1 case.
scope and limits
- Does not implement the concrete λ_rec bridge.
- Does not expose the ethics alignment hook.
- Does not contain any proofs or tactic steps.
- Limits the witness to the trivial λ=1 case under abstract obligations.