The basic ideas of an unconventional physical model of creation of the observed physical space and ultimate particles from a finite set of special discrete objects (byuons) are presented. The qualitative distinctions between the theory of byuons (TB) and previous physical theories are discussed. Predictions of TB are: the existence of the cosmological vectorial potential Ag - a novel fundamental vectorial constant defining the global anisotropy of physical space, a new non-gauge force of nature and the quantum information channel. Results from experimental studies of new non-gauge interaction in nature using: the high current magnets equipped with torsion and piezoresonance balances; the high-precision gravimeters; the analyzing fluctuations in the intensity of the ¿ decay of radioactive elements etc. are presented. It is shown that this vector has the following coordinates in the second equatorial coordinate system: right ascension ¿ = 316° ± 10°; declination ¿ = 36° ± 10°. It also shows a connection between the vector Ag direction and directions of pulsars motion, an arising of tornados, and anisotropy of cosmic rays. The nature of dark matter and dark energy is shown.