For the first time, the possibility of measuring the difference in gravitational potentials and orthometric heights by a quantum level based on the gravitational effect of time dilation using ground communication lines is considered. The duplex mode of measurements using two opposite radio channels is theoretically described. The dilation effect was experimentally measured using a one-way radio communication line implemented based on a fiber-optic link. For measurements, stationary and mobile (transportable) quantum hydrogen clocks were used with relative instabilities of (0.5-0.7)×10-15 and 1×10-15, respectively. It was found that in the experiment, the gravitational redshift of the frequency between the utilized clocks has two components: the redshift of the master oscillator frequency and the classical redshift in the radio channel. Based on the measurement results, the displacement height of the transportable quantum hydrogen clock was calculated to be (–34.0 ± 0.8) m, while the actual height was –34 m.
Similar content being viewed by others
References
L.D. Landau and E.M. Lifshic, Teoriya Polya [in Russian], Nauka, Moscow (1967).
V.F. Fateev, V.P. Sysoev, and E.A. Rubakov, “Measurement techniques,” 59, 4, 402-404 (2016). https://doi.org/10.1007/s11018-016-0979-0
V.F. Fateev, A.I. Zharikov, V.P. Sysoev, E.A. Rubakov, and F.R. Smirnov, Doklady Earth Sciences, 472, 1, 91-94 (2017). https://doi.org/10.1134/S1028334X17010147
V.F. Fateev and E.A. Rybakov, Doklady Physics, 66, 1, 17-19 (2021). https://doi.org/10.1134/S1028335820110038
V.F. Fateev, Relyativistskaya Metrologiya Okolozemnogo Prostranstva-Vremeni: monografiya [in Russian], VNIIFTRI, Mendeleevo (2017).
K. Oduan and B. Gino, Izmerenie Vremeni. Osnovy GPS [in Russian], Transl. from Eng. by Yu.S. Domnin, ed. by V.M. Tatarenkov, with an addendum (Chapter 10) by M.B. Kaufman, Tekhnosfera, Moscow (2002).
N. Ashby, “Relativity in the global positioning system,” Living Reviews in Relativity, 6, 1-42 (2003).
GLONASS Interface control document, Edition 5.1 (2008), available at: https://russianspacesystems.ru/wp-content/uploads/2016/08/ICD_GLONASS_rus_v5.1.pdf (access date: December 28, 2021).
S. Herrmann, F. Finke, M. Lülf, et. al., Test of the Gravitational Redshift with Galileo Satellites in an Eccentric Orbit, December 24, 2018, available at: https://arxiv.org/pdf/1812.09161.pdf (access date: December 28, 2021).
P. Delva, N. Puchades, E. Schönemann, et. al., Physical Review Letters, 121, 231101 (2018). https://doi.org/10.1103/PhysRevLett.121.231101
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Metrologiya, No. 2, 2022, pp. 22-27, April-June, 2022.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Fateev, V., Smirnov, F. & Donchenko, S. Measuring the Effect of Gravitational Time Dilation in a Duplex Ground-Based Quantum Level. Meas Tech 65, 104–110 (2022). https://doi.org/10.1007/s11018-022-02061-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-022-02061-0