Why survival and spectra do not suffice

At $q=0$, emission into orthogonal normalized field modes has the same survival and total photon number, but the complete isometries can be distance one. Equal frequency intensities also leave spectral phases undetermined. A spectrum fit therefore does not specify the complete transfer law.

Hawk01-A's conserving-completion comparison records the same logical separation in another model CheungHawk01A ({thm:completion}). The present complete comparisons apply only to the explicitly identified modes and amplitudes.