Motivated by the Swampland constraints, we propose a scenario in which the smallness of our vacuum energy signals that we live near the boundary of the field space in quantum gravity. Interestingly, a universal feature of these regions is that there is a light infinite tower of states whose mass is correlated to the value of the vacuum energy. Combined with experimental data, this scenario predicts the existence of a single extra mesoscopic dimension of order 10^{-6) m, which we denote as the Dark Dimension, and the associated KK tower mass is of order the neutrino scale. I will explain how this can shed new light into the naturalness issues of our universe.