This article gives the main analytic relationship between physical constants, and applications of it to cosmology. The mathematical base here are group theoretical methods and topological methods. Proceeding from here it was obtained, the Universe was born in Inversion Explosion of the primordial particle (pre-particle) which outer radius was that of electron classical radius, and inner radius was that of the gravitational radius of electron. All the mass was concentrated in the space between the radiuses, it was inverted outside the particle through the pre-particle's surface (the inversion classical radius). This inversion process continues until now, determining evolutional changes of fundamental physical constants.