That theory is based on the fact that the Mayan Calender ran out of room for December 22. What most don't realize is that a few years ago, another calendar has been found that picks up where the last one left off. So yeah... Really no evidence.
The Bible says that NO MAN, NOT EVEN THE ANGELS THAT ARE IN HEAVEN know when God will come. Plus the Mayans didn't say the world will end the 21st of December, they just ran out of material to write on.