  This study explores the cosmological constant problem and modified
uncertainty principle within a unified framework inspired by a void-dominated
scenario. In a recent paper~\cite{Yusofi:2022hgg}, voids were modeled as
spherical bubbles of similar average sizes, and the surface energy on the
voids' borders was calculated across various scales in a heuristic manner. We
show that this results in a significant discrepancy of approximately
$\mathcal{O}(+122)$ between the cosmological constant values from the minimum
to the maximum radii of bubbles. Furthermore, when considering the generalized
form of the uncertainty principle with both minimum and maximum lengths, i.e.
$\Delta X \Delta P \geq \frac{\hbar}{2} \frac{1}{1- \beta \Delta P^2}
\frac{1}{1- \alpha \Delta X^2}$, a similar order of discrepancy is observed
between $\alpha_{\rm max}$ and $\alpha_{\rm min}$, indicating that
$\alpha\propto\beta^{-1}\propto\Lambda\propto{\rm length}^{-2}~(m^{-2})$. As a
primary outcome of this finding, we offer a novel uncertainty principle that
incorporates a non-zero cosmological constant.
