In this work, we give two proposals regarding the status of connectivity of
entanglement wedges and the associated saturation of mutual information. The
first proposal has been given for the scenario before the Page time depicting
the fact that at a particular value of the observer’s time $t_b=t_R$ (where
$t_R\ll\beta$), the mutual information $I(R_+:R_-)$ vanishes representing the
disconnected phase of the radiation entanglement wedge. We argue that this time
is the Hartman-Maldacena time at which the fine-grained entropy of radiation
goes as $S(R)\sim \log(\beta)$, where $\beta$ is the inverse of Hawking
temperature of the black hole. On the other hand, the second proposal probes
the crucial role played by the mutual information of black hole subsystems in
obtaining the correct Page curve of radiation.
