One other variant of the same basic traversable wormhole idea
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First a comment
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Making the TFD
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Meeting behind the horizon
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End of lecture 2
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We expect that these energy levels to be like those of a chaotic system.
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A simpler observable
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The SYK model
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Consider a theory with random couplings
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The ramp
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We will now discuss some results for random matrices.
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Results for Random Matrices
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Ramp from gravity
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It turns out that there is no gravity solution for
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Constraining the energy
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Then we expect that is conjugate to By in the region,
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Quantum fields in this background
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Success! We have found the gravity solution for the ramp!
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Gravity lets us compute the statistical properties of the noise.
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Connection with replica wormholes
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The end
Description:
Delve into an advanced lecture on quantum aspects of black holes delivered by Juan Maldacena at the Kavli Asian Winter School on Strings, Particles and Cosmology. Explore complex topics including traversable wormholes, quantum teleportation, the Hayden-Preskill problem, and applications to quantum gravity. Examine the SYK model, random matrix theory, and their connections to black hole physics. Investigate gravity solutions for phenomena like the spectral ramp and their implications for understanding quantum chaos in black holes. Gain insights into cutting-edge research at the intersection of quantum mechanics, gravity, and information theory from a leading expert in the field.