Declarations

and competing interests. No specific funding or competing interests are declared.

. No new human or animal experimentation is reported.

availability. No new empirical dataset is used. All mathematical states, channels, scores, and hypotheses needed for the positive results are printed in this source.

availability. The optional appendix gives independently extractable, unexecuted verification code. It is not an experimental controller, a complete device simulation, or a certified physical implementation.

provenance. Analytic derivations and static debugging specifications are supplied. No executed compilation, exhaustive enumeration, numerical regression, laboratory realization, or machine-checked proof is asserted. No artifact hash, experimental record, or successful pass flag is invented.

boundary. The paper recommends no drug, device, diagnostic procedure, or treatment. The mathematical memory resource is not identified with a validated cognitive or biological construct.