Evolution of confined quantum scalar fields in curved spacetime. Part II Spacetimes with moving boundaries in any synchronous gauge

Funding

The authors especially want to thank Stefan Fredenhagen for providing us with the proof given in "Appendix F", and Jorma Louko for the rich exchange of ideas with us, which greatly helped solving many issues and significantly improved the article. We also want to thank Benito A. Juarez-Aubry, Eugenia Colafranceschi, David E. Bruschi, Tupac Bravo, Daniel Hartley, Maximilian P. E. Lock, Richard Howl, Joel Lindkvist, Jan Kohlrus, Dennis Ratzel, Carlos Barcelo and Stephan Huimann for their useful comments and discussions during the elaboration of this article. We are also grateful to Gerald Teschl, Miguel Sanchez Caja, Felix Finster and Simone Murro for clarifying our doubts on the mathematical background. Finally, we would like to thank an anonymous referee for his/her constructive comments, which helped clearing up the expositions of important points of the article. L. C. B. acknowledges the support from the research platform TURIS, from the OAWthrough the project "Quantum Reference Frames for Quantum Fields" (ref. IF_2019_ 59_QRFQF), from the European Commission via Testing the Large-Scale Limit of Quantum Mechanics (TEQ) (No. 766900) project, from the AustrianSerbian bilateral scientific cooperation no. 451-03-02141/2017-09/02, and from the Austrian Science Fund (FWF) through the SFB project BeyondC (sub-project F7103) and a grant from the Foundational Questions Institute (FQXi) Fund. A. L. B. recognises support from CONACyT ref:579920/410674. I. F. would like to acknowledge that this project was made possible with the support of the Penrose Institute, the grant "Quantum Observers in a Relativistic World" from FQXi's Physics of the Observer program and the grant "Leaps in cosmology: gravitational wave detection with quantum systems" (No. 58745) from the John Templeton Foundation. The opinions expressed in this publication are those of the authors and do not necessarily reflect the views of the John Templeton Foundation.