Manuscript XIX-C@1 · XIX-C.tex · remark · 98b067d9
Remark: Exact extent of the counterexample
Why finite certification does not select a continuum evolution › An explicit pair of incompatible limits · lines 1098–1109
The two refinement families are deliberately different choices of missing refinement data. They do not satisfy an unasserted projective-consistency condition with the coarse tick. Such consistency would be an additional hypothesis, not a consequence of having one finite channel.
The example neither constructs the continuum limit of VIII nor excludes all such limits. It disproves a general inference that a finite channel and a support certificate determine a limiting evolution.