My job doesn't quite conflict with my music like yours does,
I've been thinking for a little while now about whether it might be possible to combine my music with my public speaking. Making the music relevant to what I'm speaking about wouldn't be hard (some of it already is), and I'm certain that the music could add something to make a greater whole instead of just being a gimmick tacked on to a presentation. I'm also certain that it could be feasible--e.g. for a conference to have me as a speaker and know that as part of my talk (or maybe as a separate second talk) I'd also have my band up on stage and we'd perform, with all the additional requirements for gear etc. This would be pretty novel and might be interesting to a lot of people in my field.
But I'm not sure about whether it would work on a comprehension level. People might ultimately get confused about whether they were going to see me talk or see my band play, and people would end up deciding they like one or the other but not both.
So there were plenty of times that went through my mind, that I could be helping the world, using strong understanding of theoretical physics to better humankind, or help people in research, or just learn ways to make lives better,
This could be its own thread, but what's up with people in EDM and theoretical physics? It's like "A Brief History of Time" is required reading for you guys! I'm friends with a couple guys who are actual physicists and neither of them listen to or produce EDM, so it doesn't appear to go both ways...just kinda something funny I noticed.
Anyway, do you have an actual professional background in theoretical physics? It wasn't clear from your comment.
And I know even in a post-apocalyptic situation, if they were to have to decide to certain people to help survive, I wouldn't get thrown in that bunker because a musician can't help grow food, or make medicine. So in that sense I still feel the empty push of humanities needs against what I want, but I still do it, because I enjoy it and it doesn't have a negative effect on me or anyone else....Aaaand I'm rambling. I'll just end this here. 
I think the post-apocalyptic bunker is a good thought experiment, a good way to think about the value of what we're doing, rather than just the quality of it. We could even derive the terms "intrabunker activities" and "extrabunker activities" to delineate the things we do that we think are important and the things we do just because we enjoy them and they don't hurt anyone.