Admissibility frontier · Edition 3

Expanded claim page · assertion 3 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 primary local-theorem path now passes the stricter common-algebra-2 contract. Its four steps retain eleven assumptions, four losses and eight evidence references, and malformed dimension metadata kills the path. The SI zero vector belongs to the proposal-and-review record, not to the response matrix represented inside it. The active v1 host cannot accept the dimension-bearing shape, so a named compatibility projection erases that metadata and records the loss; the unprojected source graph receives a separate v2 receipt.

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 3 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