Is the Free Vacuum Energy Infinite?

Abstract EN

Considering the fundamental cutoff applied by the uncertainty relations’ limit onvirtual particles’ frequency in the quantum vacuum, it is shown that the vacuumenergy density is proportional to the inverse of the fourth power of the dimensionaldistance of the space under consideration and thus the corresponding vacuum energyautomatically regularized to zero value for an infinitely large free space.

This can beused in regularizing a number of unwanted infinities that happen in the Casimir effect, thecosmological constant problem, and so on without using already known mathematical(not so reasonable) techniques and tricks.