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.

Intro
Black holes
Outline
Black Hole
Black Hole History
Black Hole Temperature
Black Hole Size
Partition Function
Geometry
Penrose diagrams
Area of the Horizon
Formula for entropy
Central dogma
Fine grain entropy
Black hole entropy
FineGrain entropy
Collapsed black hole
Evaporating black hole
Transplantium mode
Consistency
For the radiation
Island formula
Accounting trick
Accounting trick is an oracle
Derivation
Density Matrix