I’ve been doing a thought experiment for a while now, about escaping from a black hole: Suppose you’re in black hole A, which has an event horizon of diameter 2 light-hours. Suppose also that you are 1 mm inside this event horizon. There’s no chance of getting out at all; all is lost and hopeless. Your relatives are never going to see you again unless they follow you in. But you will at least have a chance to see what cannot be seen by any outside observer.
Well now, suppose a second black hole B comes along. It’s not going to hit A directly – but it will glance by, at a closest distance of some number of light days, and then continue on in an unbound trajectory never to return.
Now, remember you’re in A. While B is close, the attraction of you to the center of gravity of A is partially counterbalanced by the attraction of you towards B. The event horizon of A has been pushed back slightly (where it’s closest to B), and you are now able to use all your energy to propel yourself towards B. If you get it just right, you’ll end up in a position where you are being pulled fairly equally from both A and B. Remaining in this equilibrium position, making adjustments with your last bit of rocket fuel, you wait it out until A and B are far enough apart that you are no longer within either’s event horizon. You have escaped and give your spouse a hug.
My math is not up to this quantitatively, but the simulation here shows random trajectories for glancing black holes (sometimes for fun they might be repulsive white holes. Ignore those cases for now). Suppose you’re one of the text dots that makes it into the event horizon of one of the two black holes and suppose its event horizon is 50 pixels wide on your screen. Some of the dots get within 50 pixels, and then get out again completely free by the gravitational pull from the other black hole. If I were one of those dots, I’d thank my lucky stars!