At the center of black holes, the theory of general relativity breaks down. The resolution of such singularities could require a theory of quantum gravity which describes the fundamental nature of space-time at shortest distances. In this thesis, we explore the tensor model approach to quantum gravity and inspect its relation to other theories of quantum gravity, such as, e.g., asymptotic safety,
through a universal continuum limit. Even though at microscopic distances, general relativity breaks down, at large distances this theory is highly successful. We
will inspect how one of the predictions of general relativity, gravitational waves, can help us to learn more about new physics beyond the Standard Model
