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With the use of the general variational principle of selforganization of systems with varying constraints, namely the principle of dynamical harmonization of systems presented in the first work of the cycle, we advance an approach to the control over the evolution of systems of many particles. The geometric nature of this principle is analyzed. On the basis of the de Broglie-Bohm representation of the Schrödinger equation, we establish a connection of the nonlocality and the coherence of the systems of many particles with mass entropic forces. The defining role of a coherent acceleration and a space-time curvature in the control over the synthesis of new structures in systems with varying constraints is demonstrated. The basic criteria for electromagnetic fields to initiate the processes of self-organizing synthesis and for the quantum properties of a nonlocality on macroscopic scales, which are necessary for the selforganizing synthesis, are formulated.4 Electrophysical aspects of the interactions of particles and radiation with vacuum 93 4.1 Resonances at the interaction of longitudinal waves with vacuum 95 4.2 Regularized wave equations as a model of vacuum . . . . . . . 101 4.3 Coherent acceleration of the reference system and criteria for the initiation of a collective synthesis .

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