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According to the modern cosmological paradigm, about 2/3 of the energy of the Universe is in the dark form and about 5/6 of the matter is invisible. However, numerous recent attempts to detect independently the dark-matter particles failed, and a number of other problems with the existence of dark energy and dark matter (such as the anomalous friction in the dark-matter halos of galaxies, etc.) become now more and more obvious. All these troubles raise the question if the "dark" substance is merely a result of excessive extrapolations involved in the theoretical analysis? So, it is timely to gather specialists from various branches of astronomy and astrophysics to discuss these issues.