  In this work, we reexamine the holographic dark energy concept proposed
already for cosmological applications. By considering, more precisely, the
bounds on the entropy arising from lattice field theory on one side and
Bekenstein-Hawking entropy of black holes on another side, it is shown that the
so-called holographic dark energy cannot be mimicked as easily as claimed in
the literature. In addition, the limits on the electron $(g-2)$ experiments are
taken into account again. It is shown that the corrections to the electron
magnetic momentum are of the order of ${\mathcal{O}}(10^{-23})$.
