Admissibility frontier · Edition 3

Expanded claim page · assertion 1 of 3

a loop and its outcome are different objects

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

An exceptional-point loop carries two records that a dramatic endpoint image can hide. The instantaneous spectrum has a braid: in the declared two-mode model its discriminant winds once, the square root changes sign and the eigenstate sheets exchange after one circuit in either orientation. The driven state has a history: gain, loss, loop rate and nonadiabatic jumps decide which component remains visible.

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 “a loop and its outcome are different objects”. This is assertion 1 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