Speaker
Description
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 the early to late time transition can be obtained from the status of the radiation entanglement wedge. In particular, we compute the time where the mutual information between the regions where the Hawking radiation gets collected vanishes before the formation of the island. We argue that this time is the Hartman-Maldacena time at which the fine-grained entropy of radiation goes as $\sim \log(\beta)$ where $\beta$ is the inverse of Hawking temperature of the black hole. On the other hand, the second proposal shows that just after the Page time, the vanishing of mutual information between the black hole subsystems leads to a time independent expression for the fine grained entropy of Hawking radiation consistent with the correct Page curve. We also give corrections to this entropy and Page time which are logarithmic and inverse power law in form.
| Session | Formal Theory |
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