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The general relativistic gravitomagnetic clock effect consists in the fact that two point particles orbiting a central spinning object along identical, circular equatorial geodesic paths, but in opposite directions, exhibit a time…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Lorenzo Iorio

Forecasting systems in science must be accurate, physically consistent, and certifiably reliable. Most existing models address prediction, constraint enforcement, and verification separately, limiting scalability and interpretability. We…

Machine Learning · Computer Science 2026-04-28 Regina Zhang , Zongru Li , Honggang Wen , Xiaofeng Liu , Siu-Ming Yiu , Pietro Liò , Kwok-Yan Lam

In Einstein's gedankenexperiment for measuring space and time, an ensemble of clocks moving through curved spacetime measures geometry by sending signals back and forth, as in the global positioning system (GPS). Combining well-known…

General Relativity and Quantum Cosmology · Physics 2012-10-18 Seth Lloyd

The essence of the gravitomagnetic clock effect is properly defined showing that its origin is in the topology of world lines with closed space projections. It is shown that, in weak field approximation and for a spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2011-09-13 A. Tartaglia

Current technology is not able to map the topography of rocky exoplanets, simply because the objects are too faint and far away to resolve them. Nevertheless, indirect effect of topography should be soon observable thanks to photometry…

Earth and Planetary Astrophysics · Physics 2019-02-04 François Landais , Frederic Schmidt , Shaun Lovejoy

We present a concept for a high-precision optical atomic clock (OAC) operating on an Earth-orbiting space station. This pathfinder science mission will compare the space-based OAC with one or more ultra-stable terrestrial OACs to search for…

This paper introduces new definitions of common geodetic measures on a planetary surface (namely surface area, path length, and mean value or other statistical parameters of a surface function) that are not based on a datum such as a…

Earth and Planetary Astrophysics · Physics 2022-12-27 Kai Xu

The notion that the geometry of our space-time is not only a static background but can be physically dynamic is well established in general relativity. Geometry can be described as shaped by the presence of matter, where such shaping…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lukas A. Saul

All experiments to date are in remarkable agreement with the predictions of Einstein's theory of gravity, General Relativity. Besides the classical tests, involving light deflection, orbit precession, signal delay, and the gravitational…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Jan Scheumann , Dennis Philipp , Sven Herrmann , Eva Hackmann , Benny Rievers , Javier Ventura-Traveset , Luis Mendes , Claus Lämmerzahl

The possibility of detecting the gravitomagnetic clock effect using artificial Earth satellites provides the incentive to develop a more intuitive approach to its derivation. We first consider two test electric charges moving on the same…

General Relativity and Quantum Cosmology · Physics 2010-05-28 Lorenzo Iorio , Herbert I. M. Lichtenegger , Bahram Mashhoon

The notion of time is given a different footing in Quantum Mechanics and General Relativity, treated as a parameter in the former and being an observer dependent property in the later. From a operational point of view time is simply the…

Quantum Physics · Physics 2017-05-24 Kiran Khosla , Natacha Altamirano

Classical geometry can be described either in terms of a metric tensor $g_{ab}(x)$ or in terms of the geodesic distance $\sigma^2(x,x')$. Recent work, however, has shown that the geodesic distance is better suited to describe the quantum…

General Relativity and Quantum Cosmology · Physics 2020-05-20 T. Padmanabhan

We analyze the prospects of employing a distributed global network of precision measurement devices as a dark matter and exotic physics observatory. In particular, we consider the atomic clocks of the Global Positioning System (GPS),…

Instrumentation and Methods for Astrophysics · Physics 2018-04-25 B. M. Roberts , G. Blewitt , C. Dailey , A. Derevianko

In order to detect the gravitomagnetic clock effect by means of two counter-orbiting satellites placed on identical equatorial and circular orbits around the Earth with radius 7000 km their radial and azimuthal positions must be known with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio

An enquiry into the physical nature of time and space and into the ontology of quantum mechanics from a metageometric perspective, resulting from the belief that geometric thought and language are powerless to farther understanding of these…

General Relativity and Quantum Cosmology · Physics 2008-04-24 Diego Meschini

We analyze the effect of seismic activity on sealevel variations, by computing the time-dependent vertical crustal movement and geoid change due to coseismic deformations and postseismic relaxation effects. Seismic activity can affect both…

Geophysics · Physics 2015-06-26 D. Melini , A. Piersanti

For metrology, geodesy and gravimetry in space, satellite based instruments and measurement techniques are used and the orbits of the satellites as well as possible deviations between nearby ones are of central interest. The measurement of…

General Relativity and Quantum Cosmology · Physics 2015-08-27 Dennis Philipp , Volker Perlick , Claus Laemmerzahl , Kaustubh Deshpande

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…

Here we provide an alternative approach to determine the Earth's external gravitational potential field based on low-orbit target satellite (TS), geostationary satellites (GS), and microwave signal links between them. By emitting and…

Geophysics · Physics 2020-08-14 Ziyu Shen , WenBin Shen , Xinyu Xu , Shuangxi Zhang

Geodesic orbit equations in the Schwarzschild geometry of general relativity reduce to ordinary conic sections of Newtonian mechanics and gravity for material particles in the non-relativistic limit. On the contrary, geodesic orbit…

General Relativity and Quantum Cosmology · Physics 2018-04-03 Lorenzo Resca