
Originally Posted by
handsoff241
Isn't nuclear reactor plants cheaper compared to that antimatter energy? Or is it(antimatter energy) worth the study?
The main point of the CERN and their LHC is not for any application in the near future but for expanding our knowledge of the fundamental physics of our universe. Any application that may come out right away is a consolation. Although I doubt there will be one soon. So yes, it's your latter question. It is very much worth the study.

Nuclear physics although very fundamental just happens to have a direct application in our society.
A good example of a major project that is mainly aimed at application is the ITER project. It aims to produce free energy via nuclear fusion. You can read more about it here. Of course, not many people know about it just because the LHC just has a more 'coolness' factor but both ITER and LHC receive nearly the same funding.
ITER - Wikipedia, the free encyclopedia
ITER - the way to new energy

Originally Posted by
handsoff241
I assume that this question will yield only the bounds of your probability.

I don't get what you mean here.

Originally Posted by
handsoff241
Maybe we can use it to annihilate cancer cells?

Positron emission tomography - Wikipedia, the free encyclopedia
It's used for diagnosis and can lead to effective treatment.