An experiment to test the discreteness of time

Marios Christodoulou1,2, Andrea Di Biagio1,3,4, and Pierre Martin-Dussaud4,5,6

1Institute for Quantum Optics and Quantum Information (IQOQI) Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, Austria
2Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
3Dipartimento di Fisica, La Sapienza Università di Roma, Piazzale Aldo Moro 5, Roma, Italy
4Aix-Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France
5Institute for Gravitation and the Cosmos, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
6Basic Research Community for Physics e.V., Mariannenstraße 89, Leipzig, Germany

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Time at the Planck scale ($\sim 10^{-44} \mathrm{s}$) is an unexplored physical regime. It is widely believed that probing Planck time will remain for long an impossible task. Yet, we propose an experiment to test the discreteness of time at the Planck scale and estimate that it is not far removed from current technological capabilities.

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[1] Anne-Catherine de la Hamette, Viktoria Kabel, Esteban Castro-Ruiz, and Časlav Brukner, "Quantum reference frames for an indefinite metric", Communications Physics 6 1, 231 (2023).

[2] Marios Christodoulou, Andrea Di Biagio, Richard Howl, and Carlo Rovelli, "Gravity entanglement, quantum reference systems, degrees of freedom", Classical and Quantum Gravity 40 4, 047001 (2023).

[3] Marios Christodoulou, Andrea Di Biagio, Markus Aspelmeyer, Časlav Brukner, Carlo Rovelli, and Richard Howl, "Locally Mediated Entanglement in Linearized Quantum Gravity", Physical Review Letters 130 10, 100202 (2023).

[4] Simone Rijavec, Matteo Carlesso, Angelo Bassi, Vlatko Vedral, and Chiara Marletto, "Decoherence effects in non-classicality tests of gravity", New Journal of Physics 23 4, 043040 (2021).

[5] Emily Adlam, "Tabletop Experiments for Quantum Gravity Are Also Tests of the Interpretation of Quantum Mechanics", Foundations of Physics 52 5, 115 (2022).

[6] Carlo Rovelli, "Considerations on Quantum Gravity Phenomenology", Universe 7 11, 439 (2021).

[7] John Ashmead, "Time dispersion in quantum electrodynamics", Journal of Physics Conference Series 2482 1, 012023 (2023).

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