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Explore the intricate connections between gravitational physics, quantum entanglement, and chaotic quantum systems in this conference talk delivered at the International Congress of Basic Science 2025. Delve into cutting-edge theoretical physics as the speaker examines how gravity emerges from quantum entanglement patterns and investigates the role of quantum chaos in understanding black hole physics and holographic duality. Learn about the latest developments in quantum information theory applied to gravitational systems, including discussions of the AdS/CFT correspondence, quantum error correction in holographic systems, and the information paradox. Discover how quantum entanglement serves as a fundamental building block for spacetime geometry and examine the chaotic properties of quantum systems that exhibit gravitational behavior. Gain insights into the mathematical frameworks that connect these seemingly disparate areas of physics, including tensor networks, random matrix theory, and quantum circuit models that simulate gravitational dynamics.
