What the interface does not imply

The schedule results require a prescribed metric, support structure, and channel list. The directional obstruction in prop:direction prevents replacing causal-region inclusion by a scalar comparison. Periodic graphs can have anisotropic velocity polytopes Fritz2013. Random sprinkling is not an automatic cure: the obstruction to intrinsically associating a nontrivial finite-valency graph with a Minkowski sprinkling in a Lorentz-equivariant manner requires separate attention BombelliHensonSorkin2009. Likewise, preferred-frame effects under interactions are a separate question; the radiative mechanism studied in Collins2004 does not follow from, or disappear because of, our channel identities.

The geometric example has no particle in its moving support. Its internal affine transitions are pure gauge in one flat development. It therefore does not test an event that changes gluing in a region with nontrivial spacetime monodromy.

A deterministic nonlinear state-functional coupling is not automatically a linear classical–quantum evolution. One could instead specify classical–quantum states

and CP maps ${\Psi }_{g^{\prime }|g}$ satisfying ${\sum }_{g^{\prime }}{\Psi }_{g^{\prime }|g}$ trace preserving for each $g$, with

Such a model would need its own geometric admissibility conditions. It is not an automatic rewriting of eq:coupling.

Approximate spectator or deferred-readout results also require continuity estimates for the coupling and stability margins for the controller. An arbitrarily small change of an input functional can cross a discontinuous guard. The exact theorems contain no hidden small-error estimate.