Solution to Einstein's Vacuum Equation with a Large Number of Lambda Terms

Abstract

It is proposed to increase the number of positive and negative -terms in Einstein's vacuum equation to infinity. The solution to this equation leads to a closed Universe filled with a virtually infinite number of "corpuscles" (i.e., stable convex spherical vacuum formations) and "anticorpuscles" (i.e., stable concave spherical vacuum formations) with a hierarchical discrete set of radii. These "corpuscles" and "anticorpuscles" of different scales are nested within one another like Russian dolls. Thus, they form a multitude of hierarchical chains, all beginning with the core of a single largest "corpuscle" (i.e., the mega-Universe) and culminating in a single core of the smallest "corpuscle" (i.e., the instanton). As a result, a closed Hierarchical Cosmological Model was obtained, which allows us to outline the ways of solving many problems of modern physics, such as: baryon asymmetry of the Universe, confinement of quarks, geometrization of electric charge, gravity, dark matter and energy, etc. This article is a development and refinement of the Geometrized Vacuum Physics Based on the Algebra of Signature (GVPh&AS), presented in the articles [3,4,5,6,7,8,9, 10,11,12,13,14,15,16].