Manuscript XII-C@1 · XII-C.tex · section · dead1004
The unconstructed completion slot
C4: successor data without a response › The unconstructed completion slot · lines 1277–1296
The notation is reserved for the eventual scalar-completed insertion. Its intended signature is the inherited completion with a new metric-response slot . That slot has not been constructed.
A successor must determine the completed root datum associated with both the coordinate and scalar-response legs, establish its support, and then identify the resulting functional. We do not turn this unconstructed slot into a response formula.
This is a necessary type distinction. A source pairing is scalar valued; an intermediate compact test is tensor valued; a metric response is a smooth metric configuration. Naming one does not construct either of the others. The action freeze alone cannot supply the compact root test generated by an unperformed evolution.