The theory of α, β and γ maglutrons (TABGM) is new independent theory. In TABGM it is postulated that pseudo particles called α, β and γ maglutrons have intermediate properties between the vacuum, which, considered as a macroblock has no inert mass, gravitational mass and charge, and electrons. The maglutrons have no gravitational mass and their inertial "mass" and "electric" charge differ from actual mass and electric charge in that they are activated only in the interaction between them. For any star, it is assumed that it is loaded with only one kind of maglutrons whose value of "mass" density is equal to value of the average mass density of the star. The "electric charge" of each of the maglutrons is equal to the minus result of the matrix coefficient multiplied by the gravitational constant by the "mass" of the maglutron. This dependence is in the Gaussian unit for the α and γ maglutrons and in the SI unit for β maglutrons. It is also assumed that the laws of Newtonian mechanics and electrodynamics apply to maglutrons. It is considered that the transition of vacuum into matter in the stars’ interior is done through a process in which energy for part of their luminosity is obtained as a result of the collective small radial oscillation of the α, β or γ maglutrons, created in the star in the „electric” field, formed by them. In order to find the magnetic intensity at the pole of uniformly charged by α maglutrons star, we have used the law of its connection with the magnetic component of the plane electromagnetic waves during the star’s luminosity. For the calculation of the magnetic field at the pole and at the equator of a rotating spherical body uniformly charged by β or γ maglutrons, which are fully entrained by its rotation, already known formulas are used. A successful testing of TABGM for the magnetic field and luminosity of stars with weak magnetic fields - Sun, Sirius A, Vega and Procion A - as well as those with strong magnetic fields β Cephei, Achernar and ε Eridany and at SGRs and AXPs magnetars examined suggests that the real existence of α, β and γ “electromagnetic” states of vacuum has been established. TABGM finds astrophysical application in the case where one needs to find the mass of a single star. Finally, the problem of the contradiction between the modern perceptions about the sources of energy for the Sun's luminosity is also exposed and the necessary experiments for its final solution have been proposed.
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