On observations of the new global anisotropy force action in the geo- and astrophysical phenomena

To the foundation of a principally new short-term forecasting method there has been laid down a theory of surrounding us world's creation as a result of interaction of byuons - discrete objects (Byuon theory, shortly BT). The definition of the byuon contains the cosmological vector-potential Ag - a novel fundamental vector constant. BT predicts a new non-gage anisotropic interaction of nature objects. The 100% probability of an strong earthquake arises when in the process of the Earth rotation the zenith vector of a seismically dangerous region and/or the vectorial potential of Earth's magnetic fields are in a certain way oriented relative to the vector Ag. In the paper it is shown a connection between the vector Ag direction and directions of pulsars motion, an arising of tornados, and anisotropy of cosmic rays. The vector Ag has the following coordinates in the second equatorial coordinate system: right ascension a»300°±15° (20h±1h), declination d» 36°±10°. It is shown that some problems connected with dark matter (DM) and dark energy (DE) can be solved in the framework of BT. Physical space in our Universe is the quantum medium of special objects 4b (BT), formed in four-contact interactions of byuons (m4b c2 ? 33eV ). These objects determine the average density of substance (DM) in the Universe~10-29g cm-3. The new force can cause the observed acceleration of Galaxies in our Universe. The estimations show that it is higher than the gravitational force at distances of order of1026 - 1028cm.