Declarations

. The author field is intentionally empty for anonymous review. Citation of N. Cheung does not assign authorship of this adaptation. Authorized authorship and submission metadata must be supplied for a signed submission.

. The analytical obstruction and its defining calculations are attributed to X-A–Convolution, version 1. The readout obstruction and conditional alternatives are attributed to X-Enter, version 1. I-B, En09-A, En03-A, and En08-B supply the distinct host and operational patterns. Their relevant arguments are explicitly stated or proved here within the displayed hypotheses.

status. The positivity claim is proved from the explicit parent data. The chart interpretation is conditional on its stated support certificate. That condition is not hidden inside a claim that the unchanged inherited laboratory has already been checked.

status. The instruments encode supplied finite data. They do not acquire unknown continuum fields, select a physical gravitational state, derive microscopic gate dynamics, or construct a thermal implementation.

status. Internal records are cited by identifier and supplied version without invented publication dates or DOIs. The journal Enter article is separately identified as an accepted-manuscript record. A documentary comparison is not a theorem premise or an independent proof certificate.

. No successful execution, proof-assistant check, symbolic-program execution, numerical evaluation, repository installation, hardware synthesis, experiment, independent execution, independent referee verification, or journal acceptance is asserted. The mathematical release consists of the explicit definitions and written proofs in this source.