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Hence, Bob wouldn't have a chance to tug on the string again while we were on separate sides of the event horizon and still attached by the string.

You can't be on opposite sides of the even horizon and still be attached.

if you pulled the string whether you dropped in or he came out would be dependant on the total energy of thew system.

For the case of the horizon around a black hole, observers stationary with respect to a distant object will all agree on where the horizon is. While this seems to allow an observer lowered towards the hole on a rope to contact the horizon, in practice this cannot be done. If the observer is lowered very slowly, then, in the observer's frame of reference, the horizon appears to be very far away, and ever more rope needs to be paid out to reach the horizon. If the observer is quickly lowered by another observer, then indeed the first observer, and some of the rope can touch and even cross the (second observer's) event horizon. If the rope is pulled taut to fish the first observer back out, then the forces along the rope increase without bound as they approach the event horizon, and at some point the rope must break. Furthermore, the break must occur not at the event horizon, but at a point where the second observer can observe it.

as Bob is falling inside the event horizon to infinity he experience two visibility horizons one for what he can see inwards and one for what he can see looking outwards.

The main difference is that space-time is falling toward the singularity at or faster than the speed of light at and behind the black hole's event horizon.

The event horizon of a one billion solar mass black hole if placed in the solar system extends out to the orbit of Uranus about 20 times the distance of the earth from the sun.

The smallest black hole a human being could in theory get into without suffering excessive stress say no more than one earth gravity between head and feet, is about the size of the planet Jupiter and has 50,000 solar masses in it.

Crossing the event horizon is a bit like climbing into space from earth.If I want to leave the earth ballisticaly, I need to go faster than the escape velocity. On the other hand, if I just make a long ladder, I can leave at any speed I like.For a black hole the escape velocity is greater than C but if I have a rope to climb, I don't need to exceed that velocity.

The climbing exercise of climbing out of an event horizon is such that you lose all your weight.

Quote from: jartzaThe climbing exercise of climbing out of an event horizon is such that you lose all your weight.Why?