Thought problem for the physics mavens here.
The event horizon is usually described as requiring an escape velocity faster than the speed of light, and anything that falls in can't get out.
Suppose an object came in on a parabolic or hyperbolic course, in the manner of a meteor or comet going around the sun. Ignore tidal and time dilation effects for the moment because that's something the object will experience and I want to view this from a reference frame outside the black hole.
Suppose the orbit of the object goes inside the event horizon at an angle, so that the object wouldn't intersect the singularity at the middle.
Would it come out again?
In Newtonian terms the object would speed up as it approached the black hole and crossed the horizon, and it could never exceed or attain the speed of light, but would get kinetic energy in excess of it's actual speed. Things appear heavier as they are accelerated, and more and more of the energy is put into mass while the velocity only approaches the speed of light.
Coming around the object the same process happens in reverse, so the object isn't travelling at escape velocity but the pull from the singularity takes mass energy instead of slowing the object down. Without slowing down appreciably, the object should pop back out of the black hole and continue on it's original course.
Is there a good reference that points out the fallacy in this argument? I'm just a little surprised that there's this area in space that will grab anything that flies by and suck it in permanently. Especially since the black hole has roughly the same mass as a regular star, so flying around in the vicinity should be no more difficult than flying around in the vicinity of a typical star.
(I've been looking into whether the universe is computable, and the existence of boundary discontinuities 'kinda throws a wrench into those theories.)
Is there a good reference online that explains this?