CAS_NOTE v0.1 | Complementary Alignment Score (Audit-first / NO OVERCLAIM)

CAS_NOTE v0.1 | Complementary Alignment Score (CAS) Audit-first / NO OVERCLAIM / FACT-BASED This record defines a minimal, audit-ready score for measuring alignment vs mismatch under explicit normalisation and change control. Core definition (frozen, definition-only): Let d be a normalised mismatch distance with 0 <= d <= 1. Define the complementary alignment score:S := 1 - d^2 Then 0 <= S <= 1, with boundary conditions:d = 0 -> S = 1d = 1 -> S = 0 NO OVERCLAIM (scope limitation): This note does NOT claim a new theorem. This note does NOT claim a universal law. This note does NOT claim performance unless supported by auditable artefacts and logs. This note is not clinical advice. Why quadratic (design intent, not a claim): The quadratic penalty is chosen for simplicity and to emphasise larger mismatches. Other convex penalty choices are not excluded; any change of penalty function is a breaking change and requires a version bump plus a diff note. Audit posture (how this is meant to be used): Normalisation rule is mandatory. d must be defined with a clear measurement method and a normalisation mapping into [0,1]. Change control is mandatory. If the definition of d, the normalisation, the clamp policy, or any scoring step changes, it must be treated as a breaking change:version bump + diff note + updated logs. Interpretation discipline is mandatory. S is an audit artefact: a reproducible output of a declared pipeline. S is not a proof of correctness, truth, or causality. What is included in this record: Main note (PDF and DOCX): definition, scope limitations, audit posture, and ethics boundary. Supporting Information (PDF and DOCX): definition ledger and audit fields template. INSTALL_ME (TXT and PDF): package manifest and file list. Changelog: v0.1: Initial release. Defines CAS as S := 1 - d^2 with d in [0,1]. Locks audit posture and change-control rules. Governance: Audit-first | NO OVERCLAIM | FACT-BASED Axis: Peace / Non-violence / Dignity Dual-use boundary: NO military / NO surveillance / NO coercion Author: Hisashi Suga / Gaasu13 / Ikigakusha / COME HERE GAASU FOREST