Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Multilayer and Multilevel Cosmological Models Based on So-Lutions of the Extended Einstein Field Equations

Version 1 : Received: 20 February 2023 / Approved: 21 February 2023 / Online: 21 February 2023 (06:28:42 CET)

How to cite: Batanov-Gaukhman, M. Multilayer and Multilevel Cosmological Models Based on So-Lutions of the Extended Einstein Field Equations. Preprints 2023, 2023020353. https://doi.org/10.20944/preprints202302.0353.v1. Batanov-Gaukhman, M. Multilayer and Multilevel Cosmological Models Based on So-Lutions of the Extended Einstein Field Equations. Preprints 2023, 2023020353. https://doi.org/10.20944/preprints202302.0353.v1.

Abstract

This article proposes the multilayer and multilevel cosmological model, on average, balanced with respect to the Einsteinian vacuum. This hierarchical model is based on 10 possible Kottler solutions of the extended Einstein's field equations. The extension of the Einstein field equations is associated with the addition of an infinite number of lambdaj-terms to these equations with the condition that the series (i.e., the total sum) of these terms converges to zero. A simplified ten-layer and ten-level case is considered, in which ten spherical formations are sequentially nested into each other like "nesting dolls", while the radii of these spherical formations correspond to the characteristic sizes of a discrete sequence of observed spherical objects: metagalaxy core, galactic cores, stellar (planet) core, biological cells and nuclei of atoms and elementary particles, etc. As an example, from the general ten-level (hierarchical) solution of extended Einstein's field equations, two antipodal spherical formations with a core radius commensurate with the classical electron radius are singled out. Therefore, the metric-dynamic models of these formations obtained in this way are called «electron» and «positron». The article is aimed at the development of differential geometry and the program for the complete geometrization of physics by Clifford-Einstein-Wheeler.

Keywords

cosmological model; multilayer and multilevel cosmological model; Kottler metric; Einstein’s field equations; metric signature; signature, geometrized physics

Subject

PHYSICAL SCIENCES, General & Theoretical Physics

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