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Full Schwarzschild solution
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What should we make of these?
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Full Schwarzschild solution = entangled Sta Juan Maldace.
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ER = EPR
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Some interesting lessons
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AMPS paradox
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A side comment
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Simple models
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A particularly simple 2d theory of gravity
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Nearly AdS2 gravity
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Infinite number of other configurations with the same
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A particularly simple 2d theory of gravity
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Dynamics
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Perturbative quantum gravity
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This includes al perturbative gravity corrections.
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End of lecture 1
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Dynamics
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[Demo]
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Is this relevant
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Gravitational interactions between highly boosted particles in flat space.
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The main effect is a time delay.
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There is an interaction between the infalling particles and the outgoing particles.
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Chaos in classical systems
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If we look at a thermal state,
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Quantum mechanical system
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Out of time order correlator
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Operator growth picture
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OTOC as the overlap between two states
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OTOC = Scattering amplitude
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Black holes are maximally chaotic
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Q&A
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Thinking about black holes inspiration for a bound that applies to any many body quantum system
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Chaos in the S-matrix
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Longer times
Description:
Delve into the quantum aspects of black holes in this advanced lecture by Juan Maldacena, part of the Kavli Asian Winter School on Strings, Particles and Cosmology. Explore the full Schwarzschild solution, the ER=EPR conjecture, and the AMPS paradox. Examine simple models of 2D gravity and nearly AdS2 gravity, including perturbative quantum corrections. Investigate gravitational interactions between highly boosted particles in flat space and their time delay effects. Analyze chaos in classical and quantum systems, focusing on out-of-time-order correlators and operator growth. Discover why black holes are considered maximally chaotic and how this insight inspired bounds applicable to many-body quantum systems. Engage with complex topics in theoretical physics, including the S-matrix and long-time behavior in chaotic systems.

Quantum Aspects of Black Holes - Lecture 2

International Centre for Theoretical Sciences
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#Science #Astronomy #Black Holes #Mathematics #Chaos Theory #Physics #Quantum Mechanics #Quantum Physics #Quantum Gravity #Theoretical Physics #String Theory #Optics #Holography #Quantum Field Theory #S-Matrix #AdS/CFT Correspondence
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Full Schwarzschild solution