Poincare pressure and vorticity monopoles in the kinetic model of matter-extension

TL;DR

This paper explores the role of Poincare pressure and vorticity monopoles in the kinetic model of matter-extension, linking local vorticity, nonlocal mass-energy, and geodesic distributions to explain electron stability and material displacements.

Contribution

It introduces a novel kinetic model connecting vorticity monopoles, Poincare pressure, and nonlocal mass-energy organization within a unified framework.

Findings

Vorticity monopoles influence local displacements and charge densities.

Poincare pressure stabilizes the radial electron cloud.

Nonlocal mass-energy and local measurements are governed by different physical processes.

Abstract

Local vorticity accompanies measurable distributions of Cartesian matter-extension in accordance with its geodesics for eddy current densities. Local 3-currents in the geodesic distribution of nonlocal mass-energy are responsible for the adaptive Poincare pressure to stabilize the radial cloud of the isolated continuous electron. The mechano-magnetic monopole of distributed vorticity is behind local displacements of material space and measurable densities of probing mechanic / electric charges. The non-local organization of mass-energy integral and local measurements of continuous inertial distributions correspond to different physical processes and equations. Eastern and Western dialectical teachings can be consistent in one monistic theory of kinetic space-matter for nonlocal mass-energy with local stresses.