Dale
Mentor
- 36,599
- 15,412
Your logic applies equally well to a uniformly acclerating observer in flat spacetime. For such an observer the same radar coordinates that you use here leads to an event horizon in flat spacetime (Rindler horizon). So, by your logic, what happens after an infinite amount of Rindler time isn't meaningful physics either. And since a Rindler horizon can be anywhere then no physics is meaningful since any physics is after some Rindler horizon.Jonathan Scott said:My last example shows that crossing the event horizon does not occur until after an infinite time has elapsed in a static coordinate system, in a physically measurable sense. The light path and the mirror are all outside the event horizon and the light path is symmetrical in time. I cannot see any way this could be ambiguous.
This means that even though there appears to be a time at which something can fall through the event horizon from the falling point of view, the event at which the event horizon is reached, in a standard coordinate system as seen by a static observer, is infinitely into the future, in a physically measurable sense (in that we can at least measure that any event before that point can be arbitrarily far into the future). That means that BEFORE the falling object can do whatever GR says it does after crossing the event horizon, it first remains above the event horizon for an infinite time into the future.
As far as I can see, this matches up with my original model of a "stasis box", in that something falling towards the horizon effectively ends up slowed down to zero relative to our universe. What happens AFTER an infinite time doesn't seem like meaningful physics to me.
This highlights a problem that you have with assigning some sort of existential importance to radar coordinates. They are known to be observer-dependent not merely in terms of the exact coordinates given to specific events, but also which portions of spacetime they cover. If it isn't physically meaningful to speak of something which is not covered by some observer's radar coordinates then who determines which observer's coordinates are right? How does that observer become so privileged that his or her radar coordinates determines what is meaningful and what is not?
Last edited: