Conclusion

In one frozen Euclidean-calibrated model, every prescribed future-null target admits finite local complete-channel witnesses with

Ticks and initialized registers grow linearly with refinement; their leading coefficient is necessary in the declared static-site model. Compatible complete implementation errors are accumulated explicitly, rather than hidden in ideal identity transport.

The theorem supplies operational approximability of a prescribed causal boundary. It does not derive that boundary, identify it with another manuscript's generated cone, or establish spacetime emergence.