Egypt is higher than sea level, therefore it runs south to north.

Ok, that's correct, but still from either observer's perspective the other person is not traveling faster than the speed of light, due to relativity it is very different. It is true that they won't see each other though even if they enter at the same time, so long as the entry point is different, for reasons I don't really understand mathematically since I haven't actually taken GR but have to do with the geometry of the black hole and that the singularity doesn't actually appear small, it appears to grow larger and larger as you approach it paradoxically. So it's more like free falling onto a huge black planet would look like.

https://jila.colorado.edu/~ajsh/insidebh/schw.html

> Geometrical intuition, bolstered by pictures like this one would suggest that the center of the Schwarzschild black hole is a point. That intuition is misleading. If you and a friend fall into a black hole at the same time but at different locations (in latitude and longitude), you do not approach each other as you approach the singularity. Rather, the diverging tidal force channels the parts of your body along the inward radial direction. Far from meeting your friend at the singularity, you cannot even put out your arms to touch her.

> “The” singularity is not a point. Rather, it is a 3-dimensional spatial boundary where general relativity commits suicide. New physics, presumably quantum gravity in some form, must replace general relativity at singularities. What that new physics is remains a profound unanswered question.

You will eventually be spaghettified regardless. In a large enough black hole it's after you cross the event horizon but before hitting the singularity.

No, you can see ahead of you everything that fell in before you, because it's all time dilated and "frozen" as it approaches the singularity.

No, time does not stop on crossing the event horizon. The view of the external universe above actually speeds up.

> If two objects are moving near the speed of light and they happen to be moving in opposite directions then they are moving towards each other at faster than the speed of light.

That's not correct. https://en.wikipedia.org/wiki/Velocity-addition_formula

This is what actually falling into a simple Schwarzschild black hole would look like. The physicist behind this, Andrew Hamilton, also has some for more realistic types of black holes but they are harder to understand. Notice that locally nothing special happens when crossing the "true" event horizon, and there is still an outside view of the universe. The only way you get a tunnel effect upward with darkness in every other direction is if you use a great deal of energy just outside the true event horizon to accelerate against the gravity of the black hole.

The ending of this video is hitting the singularity.

https://www.youtube.com/watch?v=XLPePyDhKIw

That's not true, you never locally exceed the speed of light pre-singularity in a black hole. You also don't notice anything special when crossing the event horizon, there is always an apparent event horizon ahead of you even when you have crossed the "true" event horizon already.

You'd be spaghettified and die long before the evaporation of the black hole or hitting the singularity or the end of the universe.

That's what it looks like to a distant external observer. Except even then the person gets redshifted to invisibility pretty quickly. If you're inside time still passes "normally" locally.