Admissibility frontier · Edition 3

Expanded claim page · assertion 8 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

That population test now passes all 54 cells without changing the basis, split or thresholds. The median cell has 0.576% median held-out error; the worst cellwise median is 0.713%, and the worst cellwise maximum is 3.914%. This is strong evidence that the modest residuals belong inside an ordinary passive model class. Each cell was still fitted separately, so one shared population law and detector covariance remain open. The next test must predict an unseen cell without per-cell recalibration.

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 8 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