Explore the intricacies of the entropic g-theorem and its connection to holography in this 47-minute conference talk by Tadashi Takayanagi from the Yukawa Institute for Theoretical Physics (YITP). Delivered as part of the Spacetime and String Theory conference at the Kavli Institute for Theoretical Physics (KITP), delve into cutting-edge research bridging quantum information, string theory, and holographic dualities. Gain insights into non-perturbative string theory, gravitational path integrals, and the relationship between entanglement and higher topologies. Understand how this talk contributes to a new synthesis in the field, exploring the connections between infrared and ultraviolet perspectives on the nature of spacetime.