Explore the intersection of gravitational wave detection and theoretical physics in this 47-minute lecture by Nathan Moynihan from Edinburgh University. Delve into how uncertainty principles clarify the relationship between observables and scattering amplitudes in the context of gravitational wave research. Examine topics such as the classical domain, general uncertainty formulas, harmonic oscillators, and the S-matrix. Gain insights into radiation reaction, spin, and their implications for gravitational wave modeling. Discover the latest advancements in connecting field theory, classical relativity, and scattering amplitudes to improve precision in gravitational wave signal interpretation and searches for new physics.