Experimental tests of dark bubble cosmology

In this paper we use ${\alpha }^{\mathrm{\prime }2}$-corrections to the $D_3$-brane action to obtain a non-zero and positive cosmological constant in the induced cosmology living on the dark bubble. Its measured value, together with the value of the fine structure constant, correspond to a dark dimension of size $5\times {10}^{-5}$ m and a string scale at $11$ TeV. We conclude that the dark bubble model predicts deviations of Newtonian gravity and stringy excitations of known particles within reach of future experiments.