Abstract
It is shown that geometry of Minkowski G_{Ms}, constructed by a metric approach in terms of world function, differs from usual geometry of Minkowski G_M, constructed as a Riemannian geometry on the basis of the linear vector space, although world functions of both geometries are the same. In G_{Ms} amplitude of the tachyon world chain wobbling is infinite, and a single tachyon cannot be detected. Tachion gas in G_{Ms} has very large pressure and can form halo of the dark matter around some galaxies. Tachyons do not exist in the space-time geometry G_M. Such cosmological problems as dark matter and dark energy (cosmological antigravitation) appear to be solved freely on the level of the space-time geometry without any additional hypothesis.
Yuri Rylov