Something about stuff ever falling in black holes always bothers me, so I made a thaught experiment that I would like to be scrutinized.
Element 1: We have a supermassive non rotating black hole.
Assumption 1: A rocket can cross this horizon without noticing much itself.
My understanding is, that I can cross the event horizon of such a black hole without noticing anything strange. Is this really true? What about hawking radiation if it exists?
Element 2: I have invented a rocket powerful enough to escape any kind of black hole as long as it did not cross the horizon, no matter how close it is to the horizon
Assumption 2: Given a powerful enough engine, theoretically, a rocket can escape such a black hole without harm, no matter how close it gets to the horizon, as long as it did not cross it.
Element 3: I have 1000 such Rockets and each is randomly programmed to a) fly into the black hole and cross the horizon b) to chose a random distance from the horizon, up to a few nanometers away and then escape
So, my question is, how long would I have to wait until I know which rocket did fall into the black hole and which did escape.
Assumption 3: I have to wait an infinite amount of time due to the time dilation effect to know if something really crossed or narrowly escaped
If all my assumptions are correct, I'd argue that nothing ever did fall into such a black hole and even could be extracted again with a powerful enough space ship, as we have infinite time to rescue it. But this raises other questions like what if the horizon of the black hole expands beyond the point where I last saw the rocket... Something is really weird suggesting that I am missing a fundamental puzzle piece or have a wrong assumption.
I hope you get my point and can answer it even if I made a small mistake in formulating it.
For example I wonder, is the time dilatation effect to infinity really at the horizon and not instead at the singularity inside the horizon? then all would make sense to me.
UPDATE Since I was asked to do it: It differentiates from other questions I could find by specifying a new kind of easy to understand thought experiment that puts the focus on exactly what I struggle with.
Answer from comments by @safesphere paraphrased by me (most likely horrible... sorry)
The Rockets don't fall in, they increase the size of the horizon before falling in which pushes them outwards (frame dragging). Their own mass makes it such that they can't escape from it even before the horizon is close (not 100% sure why though if frame dragging still keeps them outside of the horizon), so the external observer could even observe the point of no return, when it is practically impossible for mass (not photons) to escape, as the mass needed to escape itself contributes to the black hole. This point of no return for mass depends on how much mass it is and is further out than the event horizon.
