Abstract

We formulate and prove a conditional boundary-to-interior identification theorem, keeping quantum-process data, elliptic boundary data, affine event geometry, and physical dynamics distinct. The general theorem requires a calibrated extraction of a complete same-patch Dirichlet-to-Neumann energy form and an independently established uniqueness theorem on a specified coefficient class. Neither requirement is supplied by a catalogue entry.

An explicit countable family of separately tested tripartite qubit processes provides a nonempty operational pilot. Its unconditional signalling determines three-event chains; tomography of the source states and operationally distinguishing channel parameters gives a predeclared, permutation-covariant, faithful generated affine representation. Rich pure-qubit preparations generate the four-dimensional Lorentz cone. A restricted one-parameter dictionary then identifies a smooth scaled-ball metric from an operational parameter, without invoking the general inverse claims of Family 365. This dictionary installs a comparison class, not spacetime emergence.

We also prove finite-generation, finite-future, symmetry, and finite-mode boundary-data obstructions; same-patch diffeomorphism and gauge covariance; calibrated finite-shot bounds; and complete-channel transport certificates. An explicit moving-carrier model realizes buffered null-endpoint approximations only after additional transport resources are declared. Regularity and metric-jet counterexamples prevent transfers to rough-conductivity uniqueness, scalar-potential recovery, Einstein dynamics, or the inherited characteristic quantum coefficient. The general operational inverse bridge remains conditional, and the separate analytic admission chain remains open.