The article I linked to above has one huge problem, it doesn’t fit what I now of reality. As far as I can see those who insist on monopoles as they envision them have no real understanding of how existence works. Or that what the atomic theory says about matter.
If you haven’t heard, we have monopoles. Out atoms are made up of two sub-atomic particles, protons which have a positive charge, and electrons which have a negative charge. If we had matter made up entirely of protons or electrons, then we’d have monopoles. But we don’t, so we don’t. But some parties keep insisting we have to have monopoles, and in their understanding they really have no understanding.
Now I expect there are some of you who could come up with a mathematical proof, but such proof relies a lot on need. The need to have things as we want them to be instead of how they are. At present there is a detector at the LHC looking for monopoles, if “looking” is the word you’re looking for. But based on what I understand of reality, they’re not going to find any. Why? because there are none to be found. Not as what most people think of as matter, for matter is not entirely what they may wish it to be.
Matter is made up of atoms arranged together into molecules. Each atom is in effect a dipole, with protons providing the positive charge while electrons provide the negative. That’s how it works, and as long as it works that way you are never going to have monopoles above the sub-atomic level.
Fairly soon, I should hope, a line of investigation will be abandoned and we’ll start looking at more profitable avenues. The magical monopole will be accepted as a fraud and we’ll have real work to do.