The review is devoted to problems of defining the frames of reference in the tetrad formalism of General Relativity. The tetrads are the decomposition coefficients of components of orthogonal basis over the differentials of a coordinate space. The Hamiltonian cosmological perturbation theory is presented in the terms of these invariant differential forms, and this theory doesn't contain the double counting of variable of spatial metric determinant in contrast to the standard Lifshits cosmological perturbation theory. The Lorentz transformations of components of orthogonal basis are given. Possible observational consequences of the Hamiltonian cosmological perturbation theory are discussed including quantum anomaly of geometrical interval and a shift of the coordinate origin in the process of the Universe evolution as a source of anisotropy of CMBR.

PDF (668 Kb)