  With the use of the general variational principle of self-organization 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 Schr\"odinger 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 self-organizing synthesis, are
formulated.
