  Considering the fundamental cutoff applied by the uncertainty relations'
limit on virtual particles' frequency in the quantum vacuum, it is shown that
the vacuum energy density is proportional to the inverse of the forth power of
the dimensional distance of the space under consideration and thus the
corresponding vacuum energy automatically regularized to zero value for an
infinitely large free space. This can be used in regularizing a number of
unwanted infinities happen in the Casimir effect, the cosmological constant
problem and so on without using already known mathematical (not so reasonable)
techniques and tricks.
