It is shown that the holographic principle of quantum gravity (in the hologram of the Universe, and therefore in our Galaxy, and of course on the Sun!), in which the conflict between the theory of gravitation and quantum mechanics disappears, gives rise to the Babcock-Leighton holographic mechanism. Unlike the solar dynamo models, it generates a strong toroidal magnetic field by means of the thermomagnetic Ettingshausen-Nernst (EN) effect in the tachocline. Hence, it can be shown that with the help of the thermomagnetic EN effect, a simple estimate of the magnetic pressure of an ideal gas in the tachocline of e.g. the Sun can indirectly prove that by using the holographic principle of quantum gravity, the repulsive toroidal magnetic field of the tachocline (B Sun tacho = 4.1 • 10 7 G = −B Sun core ) precisely "neutralizes" the magnetic field in the Sun core, since the projections of the magnetic fields in the tachocline and the core have equal values but opposite directions. The basic problem is a generalized problem of the antidynamo model of magnetic flux tubes (MFTs), where the nature of both holographic effects (the thermomagnetic EN effect and Babcock-Leighton holographic mechanism), including magnetic cycles, manifests itself in the modulation of asymmetric dark matter (WIMP ADM) and, consequently, the solar axion in the Sun interior.The general laws of the theory of virtually empty anchored flux tubes with B ∼ 10 7 G, which are born on the interface between the tachocline and the overshoot layer, are developed. These flux tubes are pushed out by means of the effective increase in their magnetic buoyancy -from the tachocline to the surface of the Sun. The appearance of MFTs on the surface of the Sun and the observed sunspots are identical. This means that the formation of the magnetic cycles of flux tubes coincides with the observational data of the Joy's Law, and both effects are the manifestation of dark matter (DM) -solar axions in the core of the Sun, the modulation of which is predetermined by the anticorrelation modulation of ADM.It is shown that the hypothesis of the axion mechanism of solar luminosity variations suggesting that the solar axion particles are born in the core of the Sun and may be efficiently