[en] Four mainstream theoretical descriptions of nuclear matter flow are measured against six physical features of nuclei and nuclear heavy-ion collisions. Conventional (one single-determinantal wave function) Time-Dependent Hartree-Fock Theory emerges favorably from the comparison, but fares poorly as a phenomenology. A completely restructured theory, the T.D.-S-H.F., involving many single-determinantal wave functions is proposed by analogy with S-matrix reaction theory. It leads one to place the physical interpretation of the reactions upon time averages of asymptotic channel states of ''TDHF Droplets,'' comprising the translations and periodic TDHF vibrations of isolated integer-nucleon subsystems. In its most naive form (based on small amplitude properties) the theory would consistently describe only the kinematic behavior of ''classical'' intrinsically dissipative TDHF droplets. But if the periodic solutions of TDHF were to occur only at isolated energies and amplitudes then the theory would describe quantized TDHF droplets with (time-averaged) orthogonal channels, in which periodic solutions play the role of eigenstates in close analogy with the Schroedinger theory. 66 references