Abstract

We give a self-contained local Grade S adaptation of VII-J's finite-network causality programme to I-B's prescribed $3+1$-dimensional conical product. The metric, deficit $\pi /2$, causal relation, slicing family, preparations, and communication permissions are inputs. Complete timed dependency graphs, including classical controllers, measurements, records, encoders, and decoders, bound the Heisenberg support of every jointly observed output. A causal embedding then bounds reference-assisted intervention influence by the prescribed spacetime causal relation.

The operational addition is an explicit regular-part realization through the parameter of VII-F's transverse three-to-six incidence. Unlike the source apex-register benchmark, no quantum register, gate, or communication path meets the singular worldsheet. A destructive two-qubit clock controls finite event metadata; a buffered gather–operate–distribute protocol implements a nontrivial two-qubit exchange, preserves arbitrary retained reference correlations, and has a unit signalling witness on an allowed route. The complete recorded channel, positive durations, blank registers, controller storage, copied records, and finite instruction reserves are specified.

Directional certificates retain both cycle-velocity polytopes and finite-time offsets. A finite potential inequality exposes transient directional costs that an asymptotic velocity inclusion can miss. Approximate simulation is treated separately: signalling changes by at most twice the half-diamond error, while a finite-volume Hamiltonian tail is reference-stable but not an exact Lorentzian cutoff. These assembled certificates may provide a useful reproducible benchmark for distinguishing logical simulation accuracy, operational influence, and elementary causal realizability. The novelty claimed is the supported assembly and regular-part correction, not the general principles of channel locality, periodic-graph velocities, or destructive measurement. No continuum-field simulation, spacetime emergence, Einstein dynamics, or inherited quantum response coefficient is constructed.