The Holographic Principle and Dark Energy. I.Deformed Quantum Field Theory and New Small Parameters

Abstract

In this work the Vacuum Energy Density Problem or Dark Energy Problem is studied on the basis of the earlier results by the author within the scope of the Holographic Principle. It is demonstrated that the previously introduced deformed quantum field theory at a nonuniform lattice in the finite-dimensional hypercube is consistent with the Holographic Principle (Holographic Entropy Bound)in case the condition of the physical system's stability with respect to the gravitational collapse is met, or simply stated, the gravitational stability is constrained. The associated deformation parameter is the basic characteristic, in terms of which one can explain the essence of such a quantity as the vacuum energy density and its smallness. Moreover, the entropy characteristics are also well explained in terms of the above deformation parameter. The relation of this work to other studies devoted to the Dark Energy Problem is considered. Besides, the principal problems (tasks) are formulated; both the well-known problems and those naturally following from the obtained results