Admissibility frontier · Edition 3

Expanded claim page · assertion 10 of 14

the shared path is not yet a shared algebra

Obstruction / no-goAuditor

A stated candidate class or identification has been ruled out under explicit assumptions. checks assumptions, certificates, counterexamples and stopping rules.

Exact assertion

The simplest predictive envelope also exposes a trap. At each held-out frequency, the componentwise minimum and maximum of the other 53 cells cover exactly 52 of 54 scalar ranks: the apparent 96.296% coverage is forced because the global minimum and maximum must exclude themselves. It is not validation of a population law. The real datum is relational across frequency. ID07 is above the donor real-part range at all fifteen evaluation points, ID52 is repeatedly extreme in the imaginary part, and only 42 cells keep every complex point inside. A useful population model must carry a latent cell state coherently through the spectrum. The next experiment is nested prediction from one predeclared calibration record or independent metadata, with simultaneous spectral coverage and replicate covariance—not wider pointwise bars.

What this commits us to

A specified candidate class fails under explicit assumptions. The conclusion does not automatically extend to mechanisms outside that class.

Logical anatomy

Scope

Chapter “The admissibility frontier”, section “the shared path is not yet a shared algebra”. This is assertion 10 of 14 in that section.

Evidence posture

Check the assumptions defining the ruled-out candidate class; the no-go does not automatically extend beyond that class.

Research move

checks assumptions, certificates, counterexamples and stopping rules.

Verification route

  1. Recover the declared objects and assumptions from the controlling documents.
  2. Check the calculation, construction, obstruction or stopping rule on those same objects.
  3. Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
  4. Apply the status rule and retain every named external dependency.

What would move or defeat this claim

Break one of the no-go assumptions in a controlled construction, or show that the alleged obstruction does not follow within its stated class.

Source map

Controlling documents