Manuscript En05-A@1 · En05-A.tex · corollary · f076e703

Corollary: A finite-scale certificate for a candidate limit

Velocity sets and the discrete isotropy obstruction › The cardinal velocity ball · lines 1447–1462 · proof included or linked

En05-A@1#cor:velocitymargin

For a scaling family of periodic models, suppose

K_{Sch, ε} ⟶ K, b_{ε} = (q_{ε} - 1) D_{m a x, ε} ⟶ 0.

Then paths with elapsed physical times tending to $u > 0$ have limiting displacements in $u K$ .

Proof. Apply (eq:finiteoffset) in physical units and pass to the Hausdorff limit. The offset vanishes.

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