Black holes and the butterfly effect

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Abstract/Contents

Abstract
What happens if you perturb a small part of a large system, and then you wait a while? If the system is chaotic, one expects the butterfly effect to push the state far from its original trajectory. I will present an analysis of this phenomenon in the setting of a strongly interacting quantum gauge theory, using the tools of gauge-gravity duality. The original state corresponds to a black hole geometry, and the perturbation is represented by a particle falling through the horizon. As time passes, the boost of the particle grows exponentially, creating a shock wave that implements the butterfly effect. Building on this framework, I will relate and explore the dynamics of chaos and the region behind the horizon of a black hole. This thesis is based on two papers written with Stephen Shenker. It should not be cited without also referencing those papers.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2014
Issuance monographic
Language English

Creators/Contributors

Associated with Stanford, Douglas
Associated with Stanford University, Department of Physics.
Primary advisor Susskind, Leonard
Thesis advisor Susskind, Leonard
Thesis advisor Hayden, Patrick (Patrick M.)
Thesis advisor Shenker, Stephen Hart, 1953-
Advisor Hayden, Patrick (Patrick M.)
Advisor Shenker, Stephen Hart, 1953-

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Douglas Stanford.
Note Submitted to the Department of Physics.
Thesis Thesis (Ph.D.)--Stanford University, 2014.
Location electronic resource

Access conditions

Copyright
© 2014 by Douglas Stanford
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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