Control of multiscale systems with constraints 3. Geometrodynamics of the evolution of systems with varying constraints

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 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 selforganizing
synthesis, are formulated.
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