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With the redefinition of the international system of units, the value of the Planck constant was fixed, similarly to the values of the unperturbed ground state hyperfine transition frequency of the $^{133}$Cs atom, speed of light in vacuum.…

Classical Physics · Physics 2022-08-24 Giovanni Mana , Stephan Schlamminger

We show that the Casimir effect should be influenced by variations of the gravitational potential. This could be tested with a satellite in a highly elliptic orbit. Still significant technology development is required to achieve a relative…

General Physics · Physics 2015-08-25 C. J. de Matos , M. Tajmar

This document gathers the notes of a 30-hour review course on gravitation, which I delivered in January 2018 and January 2019 at the African Institute for Mathematical Sciences of Cameroon (AIMS-Cameroon). Its main goal is to propose a big…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Pierre Fleury

In Einstein's general relativity, gravity is mediated by a massless metric field. The extension of general relativity to consistently include a mass for the graviton has profound implications for gravitation and cosmology. Salient features…

General Relativity and Quantum Cosmology · Physics 2020-07-24 Lijing Shao , Norbert Wex , Shuang-Yong Zhou

The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the E\"otv\"os experiment, tests of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Clifford M. Will

This review is focused on tests of Einstein's theory of General Relativity with gravitational waves that are detectable by ground-based interferometers and pulsar timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Nicolas Yunes , Xavier Siemens

Witnessing non-classicality in the gravitational field has been claimed to be practically impossible. This constitutes a deep problem, which has even lead some researchers to question whether gravity should be quantised, due to the weakness…

Quantum Physics · Physics 2017-04-04 Chiara Marletto , Vlatko Vedral

Gravimetry is a well-established technique for the determination of sub-surface mass distribution needed in several fields of geoscience, and various types of gravimeters have been developed over the last 50 years. Among them, quantum…

Clusters of galaxies have been used to measure a subtle effect predicted by Einstein: gravitational redshift. This signal encodes pristine information about our Universe, since it is sensitive to the depth of the clusters' gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-28 Enea Di Dio , Sveva Castello , Camille Bonvin

Statements about relativistic effects are often subtle. In this essay we will demonstrate that the three classical tests of general relativity, namely perihelion precession, deflection of light and gravitational redshift, are passed…

General Relativity and Quantum Cosmology · Physics 2020-01-30 Dennis Hansen , Jelle Hartong , Niels A. Obers

We compare the computation times and precisions of three expansions for the gravitational potential. The evaluation of the series by Selvaggi et al (2008 \textit{Class. Quantum Grav.} \textbf{25} 015013) is time-consuming to be applied to…

General Relativity and Quantum Cosmology · Physics 2009-10-02 M Azreg-Aïnou

All existing quantum gravity proposals share the same deep problem. Their predictions are extremely hard to test in practice. Quantum effects in the gravitational field are exceptionally small, unlike those in the electromagnetic field. The…

Quantum Physics · Physics 2017-12-20 Chiara Marletto , Vlatko Vedral

An inertial mass measurement project, which is expected to precisely measure the Planck constant, $h$, for possible comparisons with known gravitational mass measurement projects, e.g., the watt balance and the Avogadro project, is being…

Instrumentation and Detectors · Physics 2016-11-15 Shisong Li , Zhonghua Zhang , Qing He , Zhengkun Li , Wei Zhao , Bing Han , Yunfeng Lu

A century ago, Einstein formulated his elegant and elaborate theory of General Relativity, which has so far withstood a multitude of empirical tests with remarkable success. Notwithstanding the triumphs of Einstein's theory, the tenacious…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Lavinia Heisenberg

The Generalized Uncertainty Principle (GUP) has been directly applied to the motion of (macroscopic) test bodies on a given space-time in order to compute corrections to the classical orbits predicted in Newtonian Mechanics or General…

General Relativity and Quantum Cosmology · Physics 2020-06-17 R. Casadio , F. Scardigli

General Relativity is today the best theory of gravity addressing a wide range of phenomena. Our understanding of physical laws, from cosmology to local scales, cannot be properly formulated without taking into account it. It is based on…

General Relativity and Quantum Cosmology · Physics 2020-06-16 G. M. Tino , L. Cacciapuoti , S. Capozziello , G. Lambiase , F. Sorrentino

We show that a slowly varying Newton's constant, consistent with existing bounds, can potentially explain a host of observations pertaining to gravitational effects or phenomena across distances spanning from planetary to the cosmological,…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Saurya Das , Sourav Sur

We define the notion of mutual quantum measurements of two macroscopic objects and investigate the effect of these measurements on the velocities of the objects. We show that multiple mutual quantum measurements can lead to an effective…

Quantum Physics · Physics 2021-06-23 Walter Hahn , Boris V. Fine

Physical consequences from gravitation equations based on Poincar\'{e} ideas of relativity of space and time in respect of measuring instruments are considered. The most interesting of them are the possibility of the existence of stable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. V. Verozub

Starting with Newton's law of universal gravitation, we generalize it step-by-step to obtain Einstein's geometric theory of gravity. Newton's gravitational potential satisfies the Poisson equation. We relate the potential to a component of…

General Relativity and Quantum Cosmology · Physics 2013-09-20 Donald H. Kobe , Ankit Srivastava
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