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Supervisor's Foreword; Abstract; Acknowledgements; Contents; 1 Introduction; References; 2 Classical Clocks in General Relativity; 2.1 Point Particles with Internal Degrees of Freedom; 2.1.1 Hamiltonian; 2.1.2 Lagrangian; 2.1.3 Energy-Momentum Tensor; 2.1.4 Routhian or Point Particles as Ideal Clocks; 2.1.5 Low Energy and Non-relativistic Limits and Symmetries of the Framework; 2.2 Derivation of the Point-Particle Framework; 2.2.1 Effective Dynamics of Relativistic N-Particle Systems; 2.2.2 Quantitative Discussion of the Approximations; 2.3 Relevance of the Framework for Experiments
5.1.1 Time Dilation Effects for Massive Quantum Systems5.1.2 Two-Level Quantum System as a Clock; 5.1.3 Quantitative Predictions; 5.1.4 Discussion; 5.2 Photons as Clocks; 5.2.1 Gravitational Time Dilation for Light
Shapiro Delay; 5.2.2 Gaussian Photon Wave-Packet as a Clock; 5.2.3 Quantitative Predictions; 5.2.4 Discussion; 5.3 General Relativistic and Quantum Aspects of the Proposals; References; 6 Decoherence from Time Dilation; 6.1 Visibility for General Internal States; 6.2 Visibility and Decoherence Time for Thermal States; 6.3 Ideas for Experimental Verification; 6.4 Discussion
A.1 Sketch of the Field Theory DerivationAppendix Appendix B; B.1 Evaluation of the Expected Photon Number; Appendix Appendix C; C.1 Toy Models; Appendix Appendix D; D.1 Mixed Internal States as Clocks; Appendix Appendix E; E.1 The Lowest Energy Limit of "Clock'' Hamiltonian; E.2 Einstein's Hypothesis of Equivalence; E.3 Fully Classical Test Theory of the EEP; E.4 Lagrangian Formulation of the Test Theory; E.5 Quantum Test of the Classical WEP; Appendix Appendix F; F.1 Proof of the Bell Theorem for Temporal Order; References
5.1.1 Time Dilation Effects for Massive Quantum Systems5.1.2 Two-Level Quantum System as a Clock; 5.1.3 Quantitative Predictions; 5.1.4 Discussion; 5.2 Photons as Clocks; 5.2.1 Gravitational Time Dilation for Light
Shapiro Delay; 5.2.2 Gaussian Photon Wave-Packet as a Clock; 5.2.3 Quantitative Predictions; 5.2.4 Discussion; 5.3 General Relativistic and Quantum Aspects of the Proposals; References; 6 Decoherence from Time Dilation; 6.1 Visibility for General Internal States; 6.2 Visibility and Decoherence Time for Thermal States; 6.3 Ideas for Experimental Verification; 6.4 Discussion
A.1 Sketch of the Field Theory DerivationAppendix Appendix B; B.1 Evaluation of the Expected Photon Number; Appendix Appendix C; C.1 Toy Models; Appendix Appendix D; D.1 Mixed Internal States as Clocks; Appendix Appendix E; E.1 The Lowest Energy Limit of "Clock'' Hamiltonian; E.2 Einstein's Hypothesis of Equivalence; E.3 Fully Classical Test Theory of the EEP; E.4 Lagrangian Formulation of the Test Theory; E.5 Quantum Test of the Classical WEP; Appendix Appendix F; F.1 Proof of the Bell Theorem for Temporal Order; References