Geometrized vacuum physics. Part VII: «Electron» and «Positron»

Abstract

This article is the seventh part of the scientific project under the general title «Geometrized Vacuum Physics” Based on the Algebra of Signature» (Batanov-Gaukhman, 2023a; 2023b; 2023c; 2023d; 2023e; 2023f). In this article, the metric-dynamic model of two simplest mutually opposite stable spherical vacuum formations is considered – «electron» and «positron». These stable vacuum formations are an integral part of the hierarchical cosmological model proposed in the previous article (Batanov-Gaukhman, 2023f). The methods of geometrized vacuum physics and the mathematical apparatus of the Algebra of Signature used in this article to study the metric-dynamic model of «electron» and «positron» are suitable for studying all other more complex stable vacuum formations of the same scale: «quarks», «nucleons», «mesons», «atoms» and «molecules», etc., as well as all stable vacuum formations of any scale, for example, «planets», «stars» and «galaxies». This article examines issues related to deformations and accelerated flows of various vacuum layers inside the «electron» and «positron». Paths for the development of geometrized vacuum electrostatics are outlined. Some aspects of the «electron»-«photon», «electron»-«positron» and «electron»-«electron» interactions are considered. The «electron» and «positron» are infinitely complex vacuum formations, but the algorithms and mathematical techniques of the Algebra of signature proposed in the article can permanently push back darkness into the abyss of the unknown, gradually transforming transcendence into immanence.