Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has. ↗
I don't feel that the conductor has real power. The orchestra has the power, and every member of it knows instantaneously if you're just beating time. ↗
You get more nervous in front of a lot of people. That's why, when you play a concerto, you play with a small orchestra, in some place where you don't feel that it is as important as Carnegie Hall. ↗