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The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational field. We demonstrate that the general and special relativistic clock paradox solutions are…

Classical Physics · Physics 2009-11-11 Preston Jones , Lucas F. Wanex

This paper studies the use of optical lattice clock (OLC) detector networks for detecting the stochastic gravitational-wave background (SGWB). Starting from the cross-correlation formalism for two OLC detectors, we analyze how the detector…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Mingzhi Lou , Hong Su , Tao Yang , Yun-Long Zhang

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

The relativity of Global Positioning System (GPS) pseudorange measurements is explored within the geometrical optics approximation in the curved space-time near Earth. A space-time grid for navigation is created by the discontinuities…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thomas B. Bahder

Optical clocks have extremely attractive applications in many fields, including time-frequency metrology, validation of fundamental physical principles, and relativistic geodesy. The 467 nm octupole transition in 171Yb+ ion exhibits…

Atomic Physics · Physics 2025-10-14 Xuanjian Wang , Jian Cao , Hualin Shu , Yi Yuan , Zehao Li , Pengcheng Fang , Qunfeng Chen , Xueren Huang

The distribution and the comparison of an ultra-stable optical frequency and accurate time using optical fibres have been greatly improved in the last ten years. The frequency stability and accuracy of optical links surpass well-established…

We study the trap depth requirement for the realization of an optical clock using atoms confined in a lattice. We show that site-to-site tunnelling leads to a residual sensitivity to the atom dynamics hence requiring large depths (50 to…

Atomic Physics · Physics 2007-05-23 Pierre Lemonde , Peter Wolf

We devise a test of nonlinear departures from general relativity (GR) using time delays in strong gravitational lenses. We use a phenomenological model of gravitational screening as a step discontinuity in the measure of curvature per unit…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-04 Dhrubo Jyoti , Julian B. Munoz , Robert R. Caldwell , Marc Kamionkowski

Electrometry is performed using Rydberg states to evaluate the quadratic Stark shift of the $5s^2$ $^1\textrm{S}_0-5s5p$ $^3\textrm{P}_0$ clock transition in strontium. By measuring the Stark shift of the highly excited…

How does one measure the gravitational field? We give explicit answers to this fundamental question and show how all components of the curvature tensor, which represents the gravitational field in Einstein's theory of General Relativity,…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Yuri N. Obukhov , Dirk Puetzfeld

Atomic clocks have recently reached a fractional timing precision of $<10^{-18}$. We point out that an array of atomic clocks, distributed along the Earth's orbit around the Sun, will have the sensitivity needed to detect the time dilation…

Instrumentation and Methods for Astrophysics · Physics 2015-01-29 Abraham Loeb , Dan Maoz

Time-varying gravity field survey is one of the important methods for seismic risk assessment. To obtain accurate timevarying gravity data, it is essential to establish a gravity reference, which can be achieved using absolute gravimeters.…

The new strontium atomic clock at INRIM seeks to establish a new frontier in quantum measurement by joining state-of-the-art optical lattice clocks and the quantized electromagnetic field provided by a cavity QED setup. The goal of our…

Atomic Physics · Physics 2020-06-19 Marco G. Tarallo

We present the experimental demonstration of non-destructive probing of the 1S0-3P0 clock transition probability in an optical lattice clock with 87Sr atoms. It is based on the phase shift induced by the atoms on a weak off-resonant laser…

Quantum Physics · Physics 2011-02-08 Jerome Lodewyck , Philip G. Westergaard , Pierre Lemonde

Lorentz symmetry is a cornerstone of both the General relativity and Standard Model and its experimental verification deepens our understanding of nature. This paper focuses on the investigation of Lorentz violations with the context of…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Cheng-Gang Qin , Yu-Jie Tan , Xiao-Yu Lu , Tong Liu , Yan-Rui Yang , Qin Li , Cheng-Gang Shao

Separate constituents of extended systems measure proper-times on different world-lines. Relating and comparing proper-time measurements along any two such world-lines requires that common simultaneity be possible, which in turn implies…

Classical Physics · Physics 2019-07-16 Uri Ben-Ya'acov

The use of optical clocks/oscillators in future ultra-precise navigation, gravitational sensing, coherent arrays, and relativity experiments will require time comparison and synchronization over terrestrial or satellite free-space links.…

The Laser Astrometric Test Of Relativity (LATOR) is a Michelson-Morley-type experiment designed to achieve a major improvement in the accuracy of the tests of relativistic gravity in the solar system. By using a combination of independent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

The stability of an optical atomic clock is a critical figure of merit for almost all clock applications. To this end, much optical atomic clock research has focused on reducing clock instability by increasing the atom number, lengthening…

Atomic Physics · Physics 2023-12-21 Xin Zheng , Jonathan Dolde , Shimon Kolkowitz

Quantum projection noise will soon limit the best achievable precision of optical atomic clocks based on lattice-confined neutral atoms. Squeezing the collective atomic pseudo-spin via measurement of the clock state populations during…

Quantum Physics · Physics 2009-11-13 D. Meiser , Jun Ye , M. J. Holland