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

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