Assumption: Independent physical identification

An independent construction supplies a gravitational theory, physical state space, justified code isometry from the same $MK$, phases, gauge interpretation, controlled validity remainders, actual controls, and an accessible channel ${\mathcal{G}}_T$ with fixed CPTP output map ${\mathcal{J}}_{\mathrm{out}}$. The output map uses no inaccessible remnant, reference, interior partner, or undisclosed purification.