On the emergence of spacetime and semi-classical dynamics
Abstract/Contents
- Abstract
- The quantum physics of black holes and advances in string theory indicate that our contemporary notion of space—a continuous dynamical geometry obeying Einstein's equations—is an emergent concept. Gravitational physics appears instead as an effective description of a lower-dimensional quantum mechanical theory. This idea is called the holographic principle. In this thesis, we make steps towards developing a mathematical language for describing the emergence of geometry in the AdS/CFT correspondence, a string-theoretic realization of the holographic principle. The key idea we exploit is the curious relation between spacetime geometry and quantum entanglement discovered by Ryu and Takayanagi. We import mathematical tools from the field of integral geometry to connect questions such as "What is a point?" and "What is a distance?" in AdS space with the entanglement pattern of the CFT wavefunction. We then utilize the previous formalism to propose a new way of linking the degrees of freedom on the two sides of the AdS/CFT duality.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2017 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Lamprou, Lampros |
|---|---|
| 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 | Lampros Lamprou. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2017. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2017 by Lampros Lamprou
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