  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
