I've had two problems with my THB during the past year. Firstly, a few months ago, the display went fuzzy as if the layers under the glass were separating. Frightening. But I live in Phuket, Thailand, where the humidity can be high. So I turned on the air con and a dehumidifier, and within an hour the fuzziness started to reduce. After two hours, it had gone and so far hasn't returned.
Then yesterday, the screen suddenly went black while in use. No green/orange light on the mag connector, no response. On checking the display settings in system preferences, no THB recognised. Basically there were all the symptoms of a power supply failure. On reading the little white book, I noted that the humidity range is 10-80%. Now 80% is not high is many parts of the world. Maybe it is in California in the Apple ivory tower, but not in the real world. So I repeated my solution of months ago - turn on a/c and dehumidifier. This morning, bingo, it was all working again.
So it could be that many of the problems I've read about on these forums are environmental. Worth a try, anyway before lugging your THB to the Apple store.
Come on, Apple, if you are going to sell your products in places where the climate can be a challenge, make them a bit more robust. It shouldn't be too difficult.
Hope that more prosaic solution helps someone out there.