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General relativity is supported by great experimental evidence. Yet there is a lot of interest in precisely setting its limits with on going and future experiments. A question to answer is about the validity of the Strong Equivalence…

General Relativity and Quantum Cosmology · Physics 2016-05-11 Giuseppe Congedo , Fabrizio De Marchi

Analyses of laser ranges to the Moon provide increasingly stringent limits on any violation of the Equivalence Principle (EP); they also enable several very accurate tests of relativistic gravity. We report the results of our recent…

General Relativity and Quantum Cosmology · Physics 2010-04-06 James G. Williams , Slava G. Turyshev , Dale H. Boggs

The Earth, Mars, Sun, Jupiter system allows for a sensitive test of the strong equivalence principle (SEP) which is qualitatively different from that provided by Lunar Laser Ranging. Using analytic and numerical methods we demonstrate that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John D. Anderson , Mark Gross , Kenneth L. Nordtvedt , Slava G. Turyshev

Does gravity influence local measurements? We use a dual-species atom interferometer with $2\,\text{s}$ of free-fall time to measure the relative acceleration between $^{85}$Rb and $^{87}$Rb wave packets in the Earth's gravitational field.…

Atomic Physics · Physics 2020-11-06 Peter Asenbaum , Chris Overstreet , Minjeong Kim , Joseph Curti , Mark A. Kasevich

The Lunar Laser Ranging (LLR) experiment provides precise observations of the lunar orbit that contribute to a wide range of science investigations. In particular, time series of highly accurate measurements of the distance between the…

General Relativity and Quantum Cosmology · Physics 2012-08-17 James G. Williams , Slava G. Turyshev , Dale Boggs

The Weak Equivalence Principle (WEP) and the local Lorentz invariance (LLI) are two major assumptions of General Relativity (GR). The MICROSCOPE mission, currently operating, will perform a test of the WEP with a precision of $10^{-15}$.…

General Relativity and Quantum Cosmology · Physics 2017-06-01 H. Pihan-Le Bars , C. Guerlin , P. Wolf

The violation of the weak equivalence principle (EP) in the gravitational field of the Earth, described by the E\"otv\"os parameter $\eta_\oplus$, was recently constrained to the level $\left|\eta_\oplus\right| \lesssim 10^{-14}$ by the…

General Relativity and Quantum Cosmology · Physics 2018-06-15 Lijing Shao , Norbert Wex , Michael Kramer

A scheme of an optical detector is proposed for checking Einsteins equivalence principle (EEP) in a null gravitational redshift experiment and for testing methods for calculating the length of a resonator in a weak variable gravitational…

General Relativity and Quantum Cosmology · Physics 2008-01-07 R. A. Daishev , Z. G. Murzakhanov , A. F. Skochilov

We report an improved test of the weak equivalence principle by using a simultaneous $^{85}$Rb-$^{87}$Rb dual-species atom interferometer. We propose and implement a four-wave double-diffraction Raman transition scheme for the…

The Einstein Equivalence Principle (EEP) has a central role in the understanding of gravity and space-time. In its weak form, or Weak Equivalence Principle (WEP), it directly implies equivalence between inertial and gravitational mass.…

Atomic Physics · Physics 2017-06-15 G. Rosi , G. D'Amico , L. Cacciapuoti , F. Sorrentino , M. Prevedelli , M. Zych , C. Brukner , G. M. Tino

Based upon our recent study on the Lorentz non-invariance ambiguity in the longitudinal weak-boson scatterings and the precise conditions for the validity of the Equivalence Theorem (ET), we further examine the intrinsic connection between…

High Energy Physics - Phenomenology · Physics 2019-08-15 H. -J. He , Y. -P. Kuang , C. -P. Yuan

Einstein's theory of gravity, general relativity, has passed stringent tests in laboratories, elsewhere in the Solar Sytem, and in pulsar binaries. Nevertheless it is known to be incompatible with quantum mechanics and must differ from the…

On the basis of the relativistic mass-energy concept we found that a proper mass of a test particle in a gravitational field depends on a potential energy, hence, a freely falling particle has a varying proper mass. Consequently, a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Anatoli Vankov

We consider the problem of testing the Einstein Equivalence Principle (EEP) by measuring the gravitational redshift with two Earth-orbiting stable atomic clocks. For a reasonably restricted class of orbits we find an optimal experiment…

General Relativity and Quantum Cosmology · Physics 2021-08-24 D. A. Litvinov , S. V. Pilipenko

While the (weak) Equivalence Principle (EP) has been rigorously tested within the solar system, its validity on cosmological scales, particularly in the context of dark matter and dark energy, remains uncertain. In this study, we propose a…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-06 Guoyuan Lu , Yi Zheng , Le Zhang , Xiaodong Li , Jiacheng Ding , Kwan Chuen Chan

Accurate analysis of precision ranges to the Moon has provided several tests of gravitational theory including the Equivalence Principle, geodetic precession, parameterized post-Newtonian (PPN) parameters $\gamma$ and $\beta$, and the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James G. Williams , Slava G. Turyshev , Thomas W. Murphy

Satellite laser-ranging is successfully used in space geodesy, geodynamics and Earth sciences; and to test fundamental physics and specific features of General Relativity. We present a confirmation to approximately one part in a billion of…

General Relativity and Quantum Cosmology · Physics 2019-07-02 Ignazio Ciufolini , Richard Matzner , Antonio Paolozzi , Erricos C. Pavlis , Giampiero Sindoni , John Ries , Vahe Gurzadyan , Rolf Koenig