Scope
Chapter “One carrier, two faces, three relations”, section “Faces and the off-diagonal channel”. This is assertion 2 of 2 in that section.
Expanded claim page · assertion 2 of 2
Faces and the off-diagonal channel
EstablishedCartographer
Follows from declared assumptions and has an inspectable certificate. maps territory, distinctions, dependencies and interfaces.
Exact assertion
The Schur complement then describes what the outside observer sees after an internal face is hidden. This makes the recursion operational: eliminate, update the response, and ask which structure survives.
What this commits us to
The stated conclusion follows inside the declared model. Reusing it elsewhere requires carrying the same object definitions, assumptions and typing.
Logical anatomy
Evidence posture
Audit the declared carrier, assumptions and certificate. The result is exact only within that written scope.
Research move
maps territory, distinctions, dependencies and interfaces.
Verification route
- Recover the declared objects and assumptions from the controlling documents.
- Check the calculation, construction, obstruction or stopping rule on those same objects.
- Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
- Apply the status rule and retain every named external dependency.
What would move or defeat this claim
Locate a mismatched definition, an omitted assumption, a failed certificate step or a counterexample on the declared carrier.
Source map
Controlling documents
- peirce schur triple recursion to spin23Open controlling document →
- the gaussian gram selector is the h2r jordan logdet barrier and a peirce slice of the rank three cubicOpen controlling document →