Format:
1 Online-Ressource (XIX, 167 Seiten)
,
Illustrationen, Diagramme
ISBN:
9783030110000
Series Statement:
Springer Theses
Content:
Chapter1. Introduction -- Part1: Detectors in Curved Spacetimes -- Chapter2. Quantum Field Theory on Curved Spacetimes -- Chapter3. The Unruh-DeWitt Detector and Entanglement Harvesting -- Chapter4. Unruh-DeWitt Detectors in Quotients of Minkowski Space -- Chapter5. Unruh-DeWitt Detectors in (2+1)-dimensional Black Hole Spacetimes -- Part2: Quantum Reference Frames -- Chapter6. Quantum reference frames associated with noncompact groups -- Chapter7. Communication without a shared reference frame -- Part3: Quantizing Time -- Chapter8. The conditional probability interpretation of time
Content:
This thesis uses the tools of quantum information science to uncover fascinating new insights about the intersection of quantum theory and relativity. It is divided into three self-contained parts, the first of which employs detector models to investigate how the information content of quantum fields depends on spacetime curvature and global spacetime topology. The behavior of Unruh-DeWitt detectors on curved spacetimes are investigated, following which these detectors are used to probe the vacuum state of a scalar field in various topologies. This leads to a generalization of the entanglement harvesting protocol involving detectors in arbitrary curved spacetimes admitting a Wightman function. The second part extends the theory of quantum reference frames to those associated with noncompact groups. Motivated by the pursuit of a relational relativistic quantum theory where the group of reference frames is the Poincaré group, the author then generalizes a communication protocol between two parties lacking a common reference frame to the scenario where the group of transformations of their reference frame is a one-dimensional noncompact Lie group. Finally, the third part, inspired by theories of quantum gravity, generalizes the conditional probability interpretation of time, a proposed mechanism for time to emerge from a fundamentally timeless Universe. While the conditional probability interpretation of time is based upon conditioning a solution to the Wheeler-DeWitt equation on a subsystem of the universe that acts a clock, the author extends this approach to include an interaction between the system being used as a clock and a system whose evolution the clock is tracking
Note:
Dissertation University of Waterloo
,
Dissertation Macquarie University
Additional Edition:
ISBN 9783030109998
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-3-030-10999-8
Language:
English
Keywords:
Bezugssystem
;
Gekrümmte Raumzeit
;
Quantisierung
;
Topologie
;
Detektor
;
Verschränkter Zustand
;
Schwarzes Loch
;
Vakuumzustand
;
Hochschulschrift
DOI:
10.1007/978-3-030-11000-0
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