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Time measured by an ideal clock crucially depends on the gravitational potential and velocity of the clock according to general relativity. Technological advances in manufacturing high-precision atomic clocks have rapidly improved their…

Geophysics · Physics 2017-12-20 J. Müller , D. Dirkx , S. M. Kopeikin , G. Lion , I. Panet , G. Petit , P. N. A. M. Visser

The geoid is the true physical figure of the Earth, a particular equipotential surface of the gravity field of the Earth that accounts for the effect of all subsurface density variations. Its shape approximates best (in the sense of least…

We review experimental progress on optical atomic clocks and frequency transfer, and consider the prospects of using these technologies for geodetic measurements. Today, optical atomic frequency standards have reached relative frequency…

Atomic Physics · Physics 2018-05-02 Tanja Mehlstäubler , Gesine Grosche , Christian Lisdat , Piet Schmidt , Heiner Denker

According to general relativity theory (GRT), the geopotential difference (GD) can be determined by comparing the change in time difference between precise clocks using the precise point positioning (PPP) time transfer technique, referred…

Geophysics · Physics 2020-09-22 Chenghui Cai , Wen-Bin Shen , Ziyu Shen , Wei Xu , An Ning

Atomic clock technology is advancing rapidly, now reaching stabilities of $\Delta f/f \sim 10^{-18}$, which corresponds to resolving $1$ cm in equivalent geoid height over an integration timescale of about 7 hours. At this level of…

According to the Einstein's theory of relativity, the passage of time changes in a gravitational field. On earth, raising a clock by one centimetre increases its tick rate by 1.1 parts in 10$^{18}$, enabling optical clocks to perform…

In this paper, a hypothesis that the cosmological gravitational potential can be measured with the use of high-precision atomic clocks is proposed and substantiated. The consideration is made with the use of a quasi-classical description of…

General Physics · Physics 2019-01-03 V. I. Yudin , A. V. Taichenachev

Modern optical atomic clocks along with the optical fiber technology currently being developed can measure the geoid, which is the equipotential surface that extends the mean sea level on continents, to a precision that competes with…

Geophysics · Physics 2015-06-10 Mihai Bondarescu , Ruxandra Bondarescu , Philippe Jetzer , Andrew Lundgren

The passage of time is tracked by counting oscillations of a frequency reference, such as Earth's revolutions or swings of a pendulum. By referencing atomic transitions, frequency (and thus time) can be measured more precisely than any…

Mass redistribution on Earth due to dynamic processes such as ice melting and sea level rise leads to a changing gravitational field, observable by geodetic techniques. Monitoring this change over time allows us to learn more about our…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Eva Hackmann , Moritz Huckfeldt , Claus Lämmerzahl , Dennis Philipp , Benny Rievers

The advent of novel measurement instrumentation can lead to paradigm shifts in scientific research. Optical atomic clocks, due to their unprecedented stability and uncertainty, are already being used to test physical theories and herald a…

We have measured the geopotential difference between two locations separated by $457~\mathrm{km}$ by comparison of two optical lattice clocks via an interferometric fiber link, utilizing the gravitational redshift of the clock transition…

One of geodesy's main tasks is to determine the gravity field of the Earth. High precision clocks have the potential to provide a new tool in a global determination of the Earth's gravitational potential based on the gravitational redshift.…

General Relativity and Quantum Cosmology · Physics 2023-10-19 Dennis Philipp , Eva Hackmann , Jan P. Hackstein , Claus Lämmerzahl

According to the general relativity theory, the geopotential difference can be determined by gravity frequency shift between two clocks. Here we report on the experiments to determine the geopotential difference between two remote sites by…

Geophysics · Physics 2023-06-28 Lei Wang , Wei Xu , Li-Hong Li , Peng-Fei Zhang , An Ning , Rui Xu , Peng Cheng , Zi-Yu Shen , Wen-Bin Shen

In section 2, we introduce fundamental concepts of GR concerning the measurement of time, relativistic reference systems and we review the recent literature of chronometric geodesy. In section 3 we introduce the theory of frequency standard…

General Relativity and Quantum Cosmology · Physics 2019-03-06 P. Delva , H. Denker , G. Lion

According to general relativity theory (GRT), by comparing the frequencies between two precise clocks at two different stations, the gravity potential (geopotential) difference between the two stations can be determined due to the gravity…

Geophysics · Physics 2022-01-19 Kuangchao Wu , Wen-Bin Shen , Xiao Sun , Chenghui Cai , Ziyu Shen

Atom probe tomography (APT) is often quoted to provide "atomic-scale" analysis of materials in three dimensions. Despite efforts to quantify APT's spatial resolution, misunderstanding remain regarding its true spatial performance. If the…

The GRACE and GRACE-FO missions have provided an unprecedented quantification of large-scale changes in the water cycle. However, it is still an open problem of how these missions' data sets can be referenced to a ground truth. Meanwhile,…

Geophysics · Physics 2021-04-28 Stefan Schröder , Simon Stellmer , Jürgen Kusche

Here, we provide preliminary experimental results of the geopotential determination based on time elapse comparisons between two remote atomic clocks located at Beijing and Wuhan, respectively. After synchronizing two hydrogen atomic clocks…

Geophysics · Physics 2020-08-17 Wen-Bin Shen , Kuangchao Wu , Xiao Sun , Chenghui Cai , Ziyu Shen

Mapping and localization are crucial problems in robotics and autonomous driving. Recent advances in 3D Gaussian Splatting (3DGS) have enabled precise 3D mapping and scene understanding by rendering photo-realistic images. However, existing…

Robotics · Computer Science 2025-01-24 Jaewon Lee , Mangyu Kong , Minseong Park , Euntai Kim
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