  The space expansion physics contains several paradoxes which were clearly
demonstrated by Edward Harrison (1981, 1995, 2000), who emphasized that the
cooling of homogeneous hot gas (including photon gas of CBR) in the standard
cosmological model based on the violation of energy conservation by the
expanding space. In modern version of SCM the term "space expansion" actually
means continuous creation of vacuum, something that leads to conceptual
problems. Recent discussion by Francis, Barnes, James, and Lewis (2007) on the
physical sense of the increasing distance to a receding galaxy without motion
of the galaxy is just a particular consequence of the arising paradoxes. Here
we present an analysis of the following conceptual problems of the SCM: the
violation of energy conservation for local comoving volumes, the exact
Newtonian form of the Friedmann equation, the absence of an upper limit on the
receding velocity of galaxies which can be greater than the speed of light, and
the presence of the linear Hubble law deeply inside inhomogeneous galaxy
distribution. The common cause of these paradoxes is the geometrical
description of gravity, where there is no a well defined concept of the
energy-momentum tensor for the gravitational field, no energy quanta -
gravitons, and no energy-momentum conservation for matter plus gravity because
gravity is not a material field.
