Explore a 27-minute conference talk on connecting AGN accretion disks to black hole binaries across multiple scales, presented by K.E. Saavik Ford from BMCC. Delve into the complex dynamics of binary systems, from stellar pairs to supermassive black holes in galactic nuclei, and their interactions with surrounding circumbinary gas. Examine the evolution and influence of this gas on embedded binaries, key observational signatures, and cutting-edge numerical techniques for modeling these systems. Gain insights from the "Building Bridges: Towards a Unified Picture of Stellar and Black Hole Binary Accretion and Evolution" conference at the Kavli Institute for Theoretical Physics, which brought together experts in massive black hole binaries and stellar binaries to highlight similarities across varied astrophysical scales and identify crucial next steps in advancing our understanding of these fascinating cosmic phenomena.