I study molecular biology; my skills in maths aren't the best – so I'm asking for answers that aren't purely mathematical, if possible. I ask you to elaborate on formulas or diagrams, if included in the answer.
I have a long standing interest in black holes/event horizons (I started reading up on them, every now and then, more than 10 years ago) and many of the concepts/problems that lay-people on this site ask about, and the corresponding answers, are not new to me. So I am not asking for ELI5-type answers either – if possible.
If this question has been asked before I would be thankful for a link. I did not find any answers, neither on this nor on other boards.
To the question: The title basically says it. I want to talk about Schwarzschild black holes/corresponding event horizons (for simplicity). As I "understand" it, to an outside observer an event horizon seems to be unreachable. An infalling object appears to freeze or "get stuck" just above the horizon, and vanish by redshifting. So let's suppose I start falling towards the EH myself: How can I change my outside-observer-POV to an inside-observer-POV? When would that happen (on my clock)?
I heard that there seems to be no experiment that I could conduct, to tell the moment when I cross the horizon. But the transition from outside to inside has to happen anyway, whether I realize it or not – doesn't it?
Closely related question (as I understand it, it is the same problem as above, just framed differently): I throw something toward the BH. I see it approach, get closer, slow down, redshift. I start moving toward the "frozen object". As I get ever closer, it appears to recede ever farther away – it is impossible for me to pick it up, even if I move close to the speed of light. Doesn't that mean that the EH itself appears to recede from me? Don't I have an infinite amount of space (and time) to cross, to get to the EH (or the object, for that matter)?