I was going to engineering school but fell in love with physics. When I told my father I wanted to be a physicist, he said, "Hell, no, you ain't going to work in a drugstore." I said, No, not a pharmacist. I said, "Like Einstein." He poked me in the chest with a piece of plumbing pipe. "You ain't going to be no engineer," he said. "You're going to be Einstein."
What is the great resolution you referred to?
One result is something called Black Hole Complementarity. Let's say Alice falls into a black hole while Bob stays on the outside and watches. Nothing drastic happens to her when she crosses the event horizon [the point of no return around a black hole]. Of course she's eventually going to get it. On the other hand, there is another picture of the black hole, where every bit of information that you throw onto the horizon of a black hole gets sort of stuck on the horizon and builds up a soup of information bits. And this soup is hot, about a 100 billion billion billion degrees.
So Alice would get burned up?
We have a dilemma. One theory, based on general relativity, simply says Alice just floats past the horizon. That would be Alice's view of things. But Bob's view of things, if he believes in quantum mechanics, is that Alice falls into this soup of hot bits and her molecules are ripped apart. So, which one is correct? Alice can't both be killed at the horizon and not killed at the horizon. The answer is they are both correct.
How can that be?
These two ideas are not in conflict because to be in conflict, there has to be a contradiction. Well, nobody can see a contradiction for the simple reason that nobody can send a message from the inside of a black hole. Alice can't send a message saying, "Bob, I'm OK, don't worry about me," because the message can't get out of the black hole. Yet everything Bob sees is consistent with saying that Alice was thermalized.
It's difficult to see how both can be true.
We've had these things before in Einstein's thought experiments. Einstein, in the special theory of relativity, proved that different observers, in different states of motion, see different realities.
There's another strange theory that's come out of this battle, isn't there?