Admissibility frontier · Edition 3

Expanded claim page · assertion 14 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 whole predicted spectrum can now be scored as one object. With the two tones and three-neighbour rule still frozen, a donor-only threshold on the maximum error across all fifteen untouched frequencies covers 49 of 54 cells at nominal 90% and 52 of 54 at nominal 95%. ID07 and ID12 remain outside the 95% region. This is a useful internal error radius, not a prospective guarantee: the nested donor fits overlap, the low tone was learned from this batch, and no independent batch or fixture covariance is present. The look-here experiment is now exact—freeze the protocol on newly acquired cells, separate calibration from testing, repeat selected cells across fixtures, and do not retune on the two challenge cases.

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 14 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