Admissibility frontier · Edition 3

Expanded claim page · assertion 3 of 3

the graph has a Jordan face, but does not choose its cone

Interpretive mapIntegrator

Organizes thought or workflow but is not evidence for a physical claim. joins several typed results while letting the weakest edge set the claim.

Exact assertion

The later two-rail construction answers the narrower positivity question: the graph admits a source-native positive carrier before quotienting. It does not yet say why this particular Jordan face should be selected or what it predicts. The live gate is therefore compositional and semantic—derive a star operation, transport path memory and recover one held-out composition or observable. Until then the face is a faithful mathematical view of the relation system, not evidence that nature uses it.

What this commits us to

The claim supplies a map or analogy. It becomes a derivation only after an explicit carrier-preserving map and invariant are given.

Logical anatomy

Scope

Chapter “The admissibility frontier”, section “the graph has a Jordan face, but does not choose its cone”. This is assertion 3 of 3 in that section.

Evidence posture

Treat the passage as organization or analogy unless a cited carrier-preserving map is supplied.

Research move

joins several typed results while letting the weakest edge set the claim.

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

Provide an explicit map that preserves the claimed structure, then identify an observable consequence that the analogy alone did not supply.

Source map

Controlling documents