Firewalls at exponentially late times
arxiv(2024)
摘要
We consider a version of the typical state firewall setup recently
reintroduced by Stanford and Yang, who found that wormholes may create
firewalls. We examine a late-time double scaling limit in JT gravity in which
one can resum the expansion in the number of wormholes, and we use this to
study the exact distribution of interior slices at times exponential in the
entropy. We consider a thermofield double with and without early perturbations
on a boundary. These perturbations can appear on interior slices as dangerous
high energy shocks. For exponentially late times, wormholes tend to teleport
the particles created by perturbations and render the interior more dangerous.
In states with many perturbations separated by large times, the probability of
a safe interior is exponentially small. Such states thus almost certainly have
firewalls at the horizon, even though they would be safe without wormholes.
With perturbation, even in the safest state we conceive, the odds of
encountering a firewall are fifty-fifty. One interpretation of the phenomena
found here is that wormholes can change time-ordered contours into effective
out-of-time-ordered folds, making shockwaves appear in unexpected places.
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