Assumption: One-model physical bridge package

For each declared time $t$ up to a stopping criterion, a candidate physical model supplies the following data.

1. A stated microscopic action or evolution, field content, initial data, physical observable algebra, regulators, renormalization prescription, and validity domain.

2. A complete physical isometric emission interface, with a fixed identification of every accessible and inaccessible output used in the comparison. Any gravitational factorization or algebra-to-factor bridge is separately justified.

3. A reference-uniform comparison on those identified outputs,

   $$d_{\diamond }({{\mathcal{V}}_t}^{\mathrm{phys}},{{\mathcal{V}}_t}^0)\le e_{\mathrm{em}}(t),$$

   where ${{\mathcal{V}}_t}^0$ is a complete comparison interface with proved recovery error $r_0(t)$ and complete leakage ${\delta }_0(t)$. The comparison map is linear and its transfer law is labeled derived or additionally assumed.

4. For each admitted infalling experiment, complete physical and comparison instruments on the identified output interface satisfying

   $$d_{\diamond }({{\mathcal{I}}_t}^{\mathrm{phys}},{{\mathcal{I}}_t}^0)\le e_{\mathrm{inst}}(t).$$

   Their comparison record laws are within $e_{\mathrm{reg}}(t)$ of a stated regular reference experiment with matched excitations and detector preparation.

5. Independently proved state and geometry certificates: appropriate field-state regularity; renormalized stress-energy and conservation; curvature and constraint estimates; total energy balance; and controlled backreaction through the stopping criterion. Any use of those estimates to bound $e_{\mathrm{reg}}$ or $e_{\mathrm{inst}}$ is proved in a declared topology.

6. A physical partner algebra and an operational assignment for joint radiation and infalling interventions, on the same admissible states. Reconstruction domains, commutators, state-preparation quantifiers, and post-intervention validity domains are stated.