A local checklist, not an authentication of C1–C7

The following are the missing interfaces for a proposed incidence continuum successor. They are named here as $L1$–$L7$. They are not a reconstruction of En05-A's unavailable complete C1–C7 hypothesis list.

L1: Refinement and calibration.

Specify the finite realizations, growing code and site spaces, spatial scales, tick durations, and the relation of every finite reading to a common continuum parameter.

L2: Common realization and mixed germs.

If deficit replacement and incidence are to occur in one limit, supply a common realization, seam conventions, one-sided germs, complete overlap words, worldline and label transports, and admissibility through the mixed stratum.

L3: Complete acquisition interface.

Specify any instrument that obtains source information: its preparation class, quantum and classical output algebras, residual ownership, sample and memory resources, error topology, and robust response of the geometric controller.

L4: Matched local operations.

Provide encoders, decoders, and comparison maps for the same complete experiments and interventions at every refinement. Separate convergence of selected outcome laws is not enough.

L5: Evolution and observable convergence.

Supply a limiting evolution or propagator, its domains, composition and continuity, convergence topology, controlled remainders, and the continuum observable comparison. For an algebraic target, control products, not only channel compositions.

L6: Physical causal realization.

Supply event locations and causal certification for the complete timed network. Prove the required directional and finite-time containment or its stated controlled approximation.

L7: Dynamics and frame covariance.

A dynamical cone requires a matter–geometry law, equations, initial data, constraints, and consistency under packet change. An invariant physical speed additionally requires physical frame transformations and a covariance theorem for the same observables and operational interfaces.

These are completion requirements for different targets. Not every abstract channel limit requires a spacetime metric or frame covariance. Those requirements arise only when the proposed conclusion includes physical causality, invariant speed, or dynamical geometry.