The Entropy of Hawking Radiation - Lecture by Juan Maldacena

Explore the intricacies of black hole physics in this comprehensive colloquium by Juan Maldacena from IAS, Princeton, USA. Delve into the entropy of Hawking radiation as part of the "Holography@ 25" workshop held from June 14-17, 2023. Begin with an introduction to black holes and their historical context, then progress through key concepts such as black hole temperature, size, and the partition function. Examine Penrose diagrams, the area of the horizon, and formulas for entropy. Investigate the central dogma of black hole physics, fine-grained entropy, and the intricacies of collapsed and evaporating black holes. Explore the transplantium mode, consistency issues, and the island formula. Conclude with an in-depth look at the accounting trick, its derivation, and the density matrix, providing a thorough understanding of cutting-edge research in black hole thermodynamics and information paradox.