Admissibility frontier · Edition 3

Expanded claim page · assertion 3 of 3

three hybrid modes are one short

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 positive target is now structurally definite: one central mode coupled to three independently controlled outer modes has spectrum plus/minus the coupling norm and a two-dimensional zero eigenspace. A second cavity mode, mechanical sideband or magnon mode could supply the missing outer partner, but no such tripod, closed loop, dark-space tomography or independent selector is present in the reported experiment. This selects the next architecture; it does not infer new physics from hybridization.

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 “three hybrid modes are one short”. This is assertion 3 of 3 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