@article{309629b17c924f7b8515100166d1c0ed,
title = "Triple interference, non-linear Talbot effect and gravitization of the quantum",
abstract = "Recently we have discussed a new approach to the problem of quantum gravity in which the quantum mechanical structures that are traditionally fixed, such as the Fubini-Study metric in the Hilbert space of states, become dynamical and so implement the idea of gravitizing the quantum. In this paper we elaborate on a specific test of this new approach to quantum gravity using triple interference in a varying gravitational field. Our discussion is driven by a profound analogy with recent triple-path interference experiments performed in the context of non-linear optics. We emphasize that the triple interference experiment in a varying gravitational field would deeply influence the present understanding of the kinematics of quantum gravity and quantum gravity phenomenology. We also discuss the non-linear Talbot effect as another striking phenomenological probe of gravitization of the geometry of quantum theory.",
keywords = "Talbot, interference, phenomenology, quantum foundations, quantum gravity",
author = "Per Berglund and Andrew Geraci and Tristan H{\"u}bsch and David Mattingly and Djordje Minic",
note = "Funding Information: We thank Sougato Bose, Laurent Freidel, Jerzy Kowalski-Glikman, Rob Leigh, Anupam Mazumdar, Holger M{\"u}ller and Tatsu Takeuchi for inspiring discussions. P B would like to thank the CERN Theory Group for their hospitality over the past several years. T H is grateful to the Department of Physics, University of Maryland, College Park MD, and the Physics Department of the Faculty of Natural Sciences of the University of Novi Sad, Serbia, for the recurring hospitality and resources. D Minic is grateful to Perimeter Institute for its hospitality and support. The work of P B and D Mattingly is supported in part by the Department of Energy Grant DE-SC0020220. D Minic thanks the Julian Schwinger Foundation and the U.S. Department of Energy under contract DE-SC0020262 for support. A Geraci is partially supported by NSF Grant Nos. PHY-1505994, 1806686, the Heising-Simons Foundation, the J. Templeton Foundation, and the office of Naval Research Grant No. 417315//N00014-18-1-2370. This work contributes to the European Union COST Action CA18108 Quantum gravity phenomenology in the multi-messenger approach. Publisher Copyright: {\textcopyright} 2023 IOP Publishing Ltd.",
year = "2023",
month = aug,
day = "3",
doi = "10.1088/1361-6382/ace14a",
language = "English (US)",
volume = "40",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing Ltd.",
number = "15",
}