Nonlocal mass creation by metricized accelerations in Euclidean matterspace

TL;DR

This paper explores how relativistic accelerations in a Euclidean matterspace can induce nonlocal mass creation mechanisms, maintaining mass density equivalence and preventing gravitational collapse through geometric and variational principles.

Contribution

It introduces a novel nonlocal mass creation mechanism driven by metricized accelerations within a Euclidean matterspace framework.

Findings

Active and reactive mass densities are shown to be equivalent.

Nonlocal self-organizations are stabilized against gravitational collapse.

A variational approach supports the mass creation mechanism.

Abstract

Relativistic four-acceleration in metrically organized motions can introduce the nonlocal mechanism for the local generation of active and reactive mass densities in the monistic geometrodynamics of correlated matterspace. Four Hilbert variations for geometrized matterspace with Euclidean subgeometry maintain the universal equivalence of active and reactive mass densities. The vector counterbalance in the contracted Bianchi identities with the acceleration-based curvatures prevents the gravitational collapse of non-local self-organizations.