Nonlocal mechanics of kinetic densities with correlated stresses

TL;DR

This paper develops a nonlocal mechanics framework for kinetic densities and stresses, proposing a new interpretation of gravity as volume kinetic pushes in a self-governing continuous matter space, replacing traditional negative potentials.

Contribution

It introduces a nonlocal kinetic density theory that models gravity through correlated stresses and positive kinetic energy, offering a novel perspective on gravitational interactions.

Findings

Replaces Newtonian gravity with volume kinetic pushes from local stresses.

Proposes a nonlocal distribution of mass-energy governed by kinetic stresses.

Suggests a monistic approach with always positive kinetic mass-energy.

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.