Finite approximation is not a continuum identification

Any later larger-graph or continuum comparison must specify, at minimum:

1. the target state and channel domains;

2. encoding and decoding maps;

3. the output and residual comparison interface;

4. the error topology and a proved error bound;

5. an actual resource schedule;

6. independently supplied spatial and temporal calibration;

7. a bridge connecting the named finite observables to the physical target.

Lemma lem:telescoping can price a finite approximation once these interfaces exist. It does not create them.

This maintains the separation between scheduled ancestry, operational influence, and independently supplied causal geometry in VII-J, and the finite-data cautions of En08-A and XIX-C CheungVIIJ,CheungEn08A,CheungXIXC. An observation boundary defined by available operations is not a derived causal cone.