Detectors, Reference Frames, and Time

• Κύριος συγγραφέας: Smith, Alexander R. H. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Θέματα: Gravitation.; Cosmology.; Mathematical physics.; Quantum field theory.; String theory.; Quantum physics.; Classical and Quantum Gravitation, Relativity Theory.; Mathematical Physics.; Quantum Field Theories, String Theory.; Quantum Physics.

 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. . 

 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.