Required correspondence

A gravitational successor must provide, for this same microscopic specification:

1. A state and code correspondence covering the preparation (eq:KM-prep) and insertion (eq:W), including superpositions and reference-entangled inputs.

2. A derivation of the low-energy boundary variables, the relevant metric and dilaton, and the effective bath coupling, with fixed-realization or explicitly probabilistic remainder bounds.

3. An identification of the accessible packet algebra with the outgoing radiation available to the observer.

4. A sourced energy balance and backreaction calculation, including interaction energy and any externally prescribed switching work.

5. A validity interval with explicit cutoff, finite-$N$, low-energy, preparation, and detector conditions.

6. A channel calculation controlling the reference–complete-residual state, not only a radiation entropy or a diagonal influence saddle.

The correspondence must be derived on the declared code. Agreement on selected semiclassical observables is not replaced by diamond closeness to an information-losing semiclassical channel.