The fundamental equation of the field theory in De Sitter pulse space

The fundamental equation of the field theory in De Sitter pulse 5-dimensional space is obtained. Thewave function, subordinated to this equation in usual space-time, doubles. One of these functions,probably to consider as the candidate on “the Phantom field” responsible for expansion of the Universewith acceleration.  Some experimental consequences are predicted. In all these calculations thepolarization of particles be taken into account. The Lagrangian of quantum electrodynamics with thefundamental mass is chosen as an effective interaction Lagrangian. All the calculations are made in theEuclidian space, the transfer to the ordinary pseudoeuclidian space is established in the final expressionsonly. The approach has been based on the assumption that the momentum space possesses the geometricstructure of a de Sitters pace of constant curvature. A key role has been be assigned to this constant radiusof curvature.