Scope
Chapter “The admissibility frontier”, section “the shared path is not yet a shared algebra”. This is assertion 3 of 14 in that section.
Expanded claim page · assertion 3 of 14
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.
A specified candidate class fails under explicit assumptions. The conclusion does not automatically extend to mechanisms outside that class.
Chapter “The admissibility frontier”, section “the shared path is not yet a shared algebra”. This is assertion 3 of 14 in that section.
Check the assumptions defining the ruled-out candidate class; the no-go does not automatically extend beyond that class.
checks assumptions, certificates, counterexamples and stopping rules.
Break one of the no-go assumptions in a controlled construction, or show that the alleged obstruction does not follow within its stated class.
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