As I am fairly new here (been a lurker for a long while), I was not quite sure where to post this topic as it has Relativistic and Quantum Mechanical basis. Apologies if this is the incorrect place. It's not a homework question in any sense, but I'm doing a project for my Advanced Science Topics class at school on Gravitational Waves/ GW mechanics/ GW implications. After showing it to my teacher, he suggested I add in how Gravitational Waves can help pursue a Quantum Theory of Gravity. I have tried doing some research, but to no avail (except for finding little wiki bits saying dumb things such as "if gravitational waves are found to travel slower than the speed of light, then it can be inferred that gravitons have mass"). I was wondering if anybody could give me some glimpse of an idea how to relate the two, since I do not know where to look, or what to think. Thanks!