Declarations

and reproducibility. The evidence consists of the analytical arguments printed here. Compilation, numerical optimization, proof-assistant checking, independent technical review, and acceptance of this manuscript are not asserted. No experimental or simulated data are reported.

. Established dilation, correction, no-hiding, entropy, and information–disturbance results are attributed to their external literature. Cheung companion manuscripts are version-qualified comparisons. Local proofs do not establish priority for the underlying standard principles.

and submission metadata. The author field follows the supplied Hawk04-A/B/C sources. The responsible submitter should confirm authorship, affiliations, journal-specific declarations, and archival availability of unpublished comparisons before submission.