The study of scattering amplitudes has uncovered extraordinary dualities linking real-world particles like gravitons, gluons, and pions. In this talk we describe recent progress exploring these structures in arenas less well-tread by particle physicists. First, we discuss how cutting edge ideas from amplitudes have been fused with classic tools from effective field theory to derive now state-of-the-art results on the orbital dynamics of binary black holes and neutron stars. Second, we show how the Navier-Stokes equation encodes scattering amplitudes of fluid quanta which are also amenable to amplitudes analysis and exhibit a litany of familiar structures, including soft theorems, recursion, and the double copy.