I don't know anything about those so I can't say. Not everything has a facile real-world analogy, and there may be long chains of dependent concepts to get thro

I don't know anything about those so I can't say. Not everything has a facile real-world analogy, and there may be long chains of dependent concepts to get through first. Here's the thing, though: if you make an honest effort to explain something like that to a lay audience, you may fail. Or you may not. Or you'll give them a workable, but incomplete and strictly wrong idea. Either way you yourself will end up with a deeper understanding. A huge part of "real" mathematics is finding isomorphisms. Teaching is more or less finding isomorphisms between new concepts and concepts that the student already has.