Zack Alklazaris said:
Black holes are really nothing more than matter condensed into a tiny tiny itty bitty bit of space. Picture the mass (gravity) of everything in the solar system into the size of a marble. I would say, perhaps, I am not positive on the subject, but maybe if you fired an equal amount of anti matter into the black hole. It could neutralize the matter inside of it. This would effectively make the black hole simply disappear.
The general problem with this theory is practicality, which makes it great for the realms of Science Fiction. Antimatter/Matter reaction is 1 to 1 as in for every atom of matter it takes 1 atom of anti-matter to neutralize it. So lets say its a small black hole that indeed has the entire mass of the solar system in it.
That would mean you need 1.992 x 10^30kg of anti-matter. Thats a lot of fucking anti-matter. Maybe you wouldn't need that much as once the mass of the black hole reaches Earth size... perhaps it would no longer be a black hole? I'm not sure.
There's a bit of a bigger problem than that for Antimatter destroying a black hole sadly.
At its most basic level, Matter and Antimatter is made of the same stuff. At the level it is compressed to in a black hole, both matter and Antimatter simply become a singularity. There is no matter to be neutralised by Antimatter per se. There is simply the singularity, and everything that goes into the black hole simply makes that singularity denser and possibly larger. If you were to bomb a black hole with that much antimatter, you'd only have the effect of doubling its mass.
It is possibly one of the more believable space magic explanations that could work though. Although, from the sounds of things this bomb or W/E isn't meant to work anyway.
And OP, if that is the case, and this bomb isn't meant to work, then possibly the best thing you could do is make it a flawed concept, then use the flaws in that concept as the reason why it didn't work, so long as that doesn't majorly interfere with the plot.