Quantum Aspects of Black Holes - Lecture 1

Delve into the fascinating world of quantum aspects of black holes in this comprehensive lecture by renowned physicist Juan Maldacena. Explore key concepts such as black hole thermodynamics, entropy, and the information paradox. Examine the central hypothesis of black hole information preservation and its implications for our understanding of quantum gravity. Investigate the AMPS paradox, the geometry of evaporating black holes, and the challenges of testing black hole radiation purity. Learn about fine-grained gravitational entropy, entanglement wedges, and the role of Hawking radiation in preserving information. This lecture, part of the Kavli Asian Winter School on Strings, Particles and Cosmology, offers advanced graduate students, postdoctoral fellows, and researchers a deep dive into cutting-edge theories and developments in high-energy physics.

Start
Black holes are hot
Entropy
De Sitter temperature and us
Even though Hawking radiation has not been seen for black holes,
Area is decreasing. The and law ?...
Central Hypothesis
No statement about the interior. So far, just a statement about the exterior.
AMPS paradox
Why would we insist on the "central dogma" given the arguments against it?
Evidence in favor
If it is true, can we understand why it is true directly by following the rules of gravity in the bulk?
Black holes vs de Sitter
Geometry of an evaporating black hole made from collapse
Black holes and thermalization
Black hole as a "mesoscopic" object
Why it is tricky?
Can we test that the radiation is pure?
There are things that are more complicated
Much more difficult than evolving backwards in time!
A very important tool for recent developments
Fine grained gravitational entropy
Entanglement wedge
Tom Hartman will discuss this in more detail in his lectures...
Simple remarks on the entropy
The message is in the Hawking radiate
Entropy of quantum fields around the hori
Let's go back to the Schwarzschild solution