Standalone claims

Four extractable named problems and non-implications from the manuscript — each citable without the full book argument. They are framework claims, not established results. Use these for papers, talks, and funding memos; the PDF chapters remain canonical for derivation and caveats.

For the Introduction’s six-claim reader contract and Chapter 48 status map, see Six thesis claims.

Claim	Summary
Anti-Capture Validity of Correction	Correction-channel integrity is invalid—not merely low—when the target has captured the reference process, handles, or grounding relation that supplies correction.
Bearer-Map Commutation Failure	Value can appear preserved in vocabulary while moral application changes — when ontology translation and bearer relevance do not commute.
Certification-Under-Manipulation Problem	For each load-bearing certification measurand, does there exist a capability threshold κ* below which honest measurement is adversarially verifiable and above which it provably is not?
Goodhart as Selector (Not Just Proxy Drift)	When a proxy becomes a selector, optimization shifts the population toward traits that raise the proxy without raising the target property — conditional expectations can reverse.