Black holes and the butterfly effect
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 |
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Form | electronic; electronic resource; remote |
Extent | 1 online resource. |
Publication date | 2014 |
Issuance | monographic |
Language | English |
Creators/Contributors
Associated with | Stanford, Douglas |
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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 |
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Bibliographic information
Statement of responsibility | Douglas Stanford. |
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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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