When a black hole encounters an anti-black hole, which is theorized to be formed from antimatter, they would merge into a single black hole. Conventional physics does not recognize the existence of anti-black holes, but the discussion suggests that the merging process would not retain any information about the original materials. This is due to the principle that black holes have "no hair," meaning they do not remember the specifics of their formation. The only information that can be extracted is the total mass and angular momentum of the black hole. Ultimately, any information about what fell into a black hole is considered lost beyond the event horizon.