Nonlocal mechanics of kinetic densities with correlated stresses

Abstract

The non-equilibrium densities of nonlocal mass-energy are self-governed by kinetic stresses toward quasi-equilibrium sub-configurations. System energy integral of continuous matter-extension coordinates its adaptive densities on each hierarchic level of structural sub-organizations. The logarithmic potential for metric fields, kinetic densities, and local stresses in the nonlocal distribution of mass-energy corresponds to the Shannon fundamental limit for information rates. The phenomenological pulls of Newtonian gravity can be quantitatively replaced by volume kinetic pushes from local stresses of continuous space-matter with moving inertial densities. Thus, the observable phenomenon of gravitation between volumetric parts of distributed mass-energy is interpreted in this Cartesian nonlocality of self-governed material space through correlated accelerations of continuous kinetic densities with local inertia. The gravitational palliative of negative potentials is replaced with the monistic approach to Cartesian matter through always positive kinetic mass-energy.