  Super-high energy corpuscular and gamma rays as well as cosmic high--power
density sources are hard to explain in a galaxy model framework.
  Attempts to include some of those phenomena in the Standard Cosmological
Model also encounter serious difficulties. In the present paper an alternative
cosmological concept is discussed. There are several features in it. First of
all, the whole Universe (Grand Universe) is a multitude of typical universes,
like ours, evenly made of either matter or antimatter, hence, there is no
violation of the baryon symmetry on the largest scale.
  Second, high-energy phenomena are the result of matter-antimatter
annihilation processes in a typical universe evolution. Finally, the Ground
Universe is a self-creating due to a balance of annihilation and pair creation
in the inter-universe infinite space. This concept and its consistence with the
major observational data are discussed in detail.
