Manuscript XIX-C@1 · XIX-C.tex · section · 98b067d9
Conclusion
Conclusion · lines 1597–1639
The finite incidence construction has an exact and useful interface: a prescribed parameter, installed codes and packets, accessible-input matching, residual–record separation, supplied source tokens, and guarded commands. During incidence the selected packet remains fixed. A source replacement is another command, not a derived backreaction equation.
Its complete finite channel realizations have a rigorous ceiling: scheduled ancestors bound Heisenberg support and actual influence. Equal ancestor snapshots determine complete output laws, including their reference extensions. A physical causal interpretation needs an independent embedding; a continuum interpretation needs a refinement and convergence theorem.
The decisive negative result is not merely the absence of a theorem name. Explicit constructions show that the missing data matter: the same finite channel can lead to different continuous-time limits, the same finite graph samples can have different intermediate rates, and the same classical record can leave different residual sources.
Here means non-identification of the declared objects, not a prohibition on every future connecting map.
The next continuum paper must supply the missing limit and its hypotheses. This paper names that obligation and stops.
Displayed formulas in this passage
unlabeled · line 1621