Monistic reduction of Einstein's Equation for self-gravitating field masses (2504.09240v1)

Abstract: The divergence of relativistic accelerations generates field masses and the corresponding Ricci scalar in the gravitational integral of the Hilbert action. The covariant description of the elastic hierarchy with a specific time flow and Euclidean 3-section in the pseudo-Riemannian manifold is based on the monistic analogue of the Einstein Equation for a field mass with nonlocal inertia and self-gravity. The elastic autodynamics of metrically correlated densities correspond to Bianchi vector identities for material fields of continuous masses. The local time invariant generates a primary reason for scalar mass densities and their local self-acceleration in a nonlocal hierarchy, rather than distant gravitational forces in the dualistic theory of pairwise interactions. Time should be studied experimentally as the (yin) inhomogeneous substance behind the (yang) observable densities of monistic matterspace with elastic hierarchies of nonlocal masses and their slow inelastic exchange.