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Based on a recently proposed holographic relationship between spin networksand superstrings, we find out numerical values for the matter and cosmologicalconstant density parameters given by $\Omega_{m0} = 0.3311$ and$\Omega_{\Lambda 0} = 0.6689$, respectively. Such values are in goodapproximation with the Planck 2018 cosmological data \cite{Aghanim:2018eyx}.Moreover, by using the current value of the Hubble parameter given by Planck2018 collaboration, we obtain $\Lambda_{0} = 2.779 \times 10^{-122}$ as anestimation of the cosmological constant. Such results can be seen as possiblephenomenological evidence for quantum gravity, relying on what may be asui-generis feature of it: that spacetime must emerge from quantum information.

Spacetime from quantum information: spin networks and the cosmological constant in the $AdS/CFT$ correspondence