Timeless quantum mechanics and the early universe
著者
書誌事項
Timeless quantum mechanics and the early universe
（Springer theses : recognizing outstanding Ph. D. research）
Springer, c2022
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注記
"Doctoral thesis accepted by Universität zu Köln, Köln, Germany"
Includes bibliographical references
内容説明・目次
内容説明
The book is based on the author's PhD thesis, which deals with the concept of time in quantum gravity and its relevance for the physics of the early Universe. It presents a consistent and complete new relational formulation of quantum gravity (more specifically, of quantum mechanics models with diffeomorphism invariance), which is applied to potentially observable cosmological effects. The work provides answers to the following questions: How can the dynamics of quantum states of matter and geometry be defined in a diffeomorphism-invariant way? What is the relevant space of physical states and which operators act on it? How are the quantum states related to probabilities in the absence of a preferred time? The answers can provide a further part of the route to constructing a fundamental theory of quantum gravity. The book is well-suited to graduate students as well as professional researchers in the fields of general relativity and gravitation, cosmology, and quantum foundations.
目次
Introduction.- Classical Diffeomorphism Invariance on the Worldline.- Quantum Diffeomorphism Invariance on the Worldline. The Relativistic Particle as an Archetypical Example.- Homogeneous Classical and Quantum Cosmology.- Weak-Coupling Expansion-. Quantum-Gravitational Effects in the Early Universe.- Conclusions and Outlook.- Appendix A Review of Gauge Systems and Constrained Dynamics.- Appendix B. The Traditional Born-Oppenheimer Approach to the Problem of Time.
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