I'm interested in the picture of black hole complementarity where an observer (Bob) far away from the black hole watches another observer (Alice) fall in, and develops a very different picture of events. I want to stay within the framework of black hole complementarity, and limit this to Bob's reference frame. Mainly:
- Can Bob practically watch Alice die from her emitted photons?
- Alternatively, is time dilated so much in Alice's reference frame that Bob would have to wait until the end of the universe to watch this?
I think there are arguments against #2, and I might only have this confusion because of arguments I've read which were not fully informed, which I may now be repeating.
The asymmetric mass, from the point of view of the exterior observer, smears itself symmetrically on the surface when it gets close.
The AMPS proposal is that what Alice encounters at the horizon does not look like empty space at all — rather B and A are unentangled, which means that Alice sees many energetic particles. Monogamy of entanglement is rescued, but not poor Alice. She is incinerated by an intense wall of fire as she attempts to pass through the event horizon.
While these graphic accounts of Alice's death sound concrete, they're not necessarily inconsistent with point #2 above. If time dilates within certain asymptotic properties, then it could look somewhat like Zeno's paradox. There are ways this could prevent Alice from ever fully merging with the surface of the black hole. But could it prevent Bob from ever being able to confidently able to say that Alice died? Of course Bob has to recalibrate his video camera as it shifts ever-more toward the IR part of the spectrum, but does that video ever show Alice boiled to death or dismembered and smeared into the surface?