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The difference in the proper azimuthal periods of revolution of two standard clocks in direct and retrograde orbits about a central rotating mass is proportional to J/Mc^2, where J and M are, respectively, the proper angular momentum and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Mashhoon , F. Gronwald , F. W. Hehl , D. S. Theiss

A lot of fundamental tests of gravitational theories rely on highly precise measurements of the travel time and/or the frequency shift of electromagnetic signals propagating through the gravitational field of the Solar System. In…

General Relativity and Quantum Cosmology · Physics 2012-10-10 A. Hees , S. Bertone , C. Le Poncin-Lafitte

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

[Abridged] Tides may play an important role in determining the observed distributions of mass, orbital period, and eccentricity of the extrasolar planets. In addition, tidal interactions between giant planets in the solar system and their…

Astrophysics · Physics 2009-11-10 G. I. Ogilvie , D. N. C. Lin

Future free-space optical clock networks will require optical links for time and frequency transfer. In many potential realizations of these networks, these links will extend over long distances and will span moving platforms, e.g.…

Atmospheric tides can strongly affect the rotational dynamics of planets. In the family of Earth-like planets, such as Venus, this physical mechanism coupled with solid tides makes the angular velocity evolve over long timescales and…

Earth and Planetary Astrophysics · Physics 2017-07-19 Pierre Auclair-Desrotour , Jacques Laskar , Stéphane Mathis

This article is intended for undergraduate students with the aim to provide a pedagogical introduction to the physics of stellar tidal deformations. The spherically symmetric shape of any star is deformed via rotation around an arbitrary…

High Energy Astrophysical Phenomena · Physics 2020-07-02 Andreas Zacchi

The theory of relativity showed that several Newtonian ideas about spacetime are imperfect. We present here some relativistic concepts related to these ideas: simultaneity of events and synchronization of clocks (both along a line in the…

Classical Physics · Physics 2011-07-08 F. M. Paiva , A. F. F. Teixeira

Turbulent friction in convective regions in stars and planets is one of the key physical mechanisms that drive the dissipation of the kinetic energy of tidal flows in their interiors and the evolution of their systems. This friction acts…

Solar and Stellar Astrophysics · Physics 2016-07-20 Stéphane Mathis , Pierre Auclair-Desrotour , Mathieu Guenel , Florian Gallet , Christophe Le Poncin-Lafitte

General relativity predicts that clocks run more slowly near massive objects. The effect is small---a clock at sea level lags behind one 1000 m above sea level by only 9.4 ns/day. Here, we demonstrate that a measurement of this effect can…

We have previously shown (arXiv:1912.00033) that three approaches to relational quantum dynamics -- relational Dirac observables, the Page-Wootters formalism and quantum deparametrizations -- are equivalent. Here we show that this `trinity'…

General Relativity and Quantum Cosmology · Physics 2022-08-24 Philipp A. Hoehn , Alexander R. H. Smith , Maximilian P. E. Lock

Einstein's theory of general relativity states that clocks at different gravitational potentials tick at different rates - an effect known as the gravitational redshift. As fundamental probes of space and time, atomic clocks have long…

We study the time-of-arrival problem for relativistic particles constrained to move on a ring, formulating the problem entirely within Quantum Field Theory (QFT). In contrast to its counterpart for motion in a line, the circle topology…

Quantum Physics · Physics 2026-03-31 Iason Vakondios , Charis Anastopoulos

A novel quantum time dilation effect is shown to arise when a clock moves in a quantum superposition of two relativistic velocities. This effect is argued to be measurable using existing atomic interferometry techniques, potentially…

Quantum Physics · Physics 2020-04-28 Alexander R. H. Smith

The relativistic Doppler effect comes from the fact that observers in different inertial reference frames experience space and time differently, while the speed of light remains always the same. Consequently, a wave packet of light exhibits…

Quantum Physics · Physics 2024-03-07 Daniel Hodgson , Sara Kanzi , Almut Beige

In this paper, we theoretically investigate the time dilation and Doppler effect in curved space-time from the perspective of quantum field theory (QFT). A Coordinate Transformation which Maintains the Period of Clocks is introduced, and…

High Energy Physics - Theory · Physics 2020-11-04 Benliang Li , Hailiang Zhang , Perry Ping Shum

We develop a fully relativistic approach for determining the response of a compact star to a time/frequency dependent (tidal) environment. The strategy involves matching the solution for the linearised fluid dynamics in the star's interior…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Nils Andersson , Rhys Counsell , Fabian Gittins , Suprovo Ghosh

We study orbital evolution of multi-planet systems with masses in the terrestrial planet regime induced through tidal interaction with a protoplanetary disk assuming that this is the dominant mechanism for producing orbital migration and…

Solar and Stellar Astrophysics · Physics 2016-05-25 J. C. B. Papaloizou

The theory of relativity associates a proper time with each moving object via its world line. In quantum theory however, such well-defined trajectories are forbidden. After introducing a general characterisation of quantum clocks, we…

Quantum Physics · Physics 2020-08-19 Shishir Khandelwal , Maximilian P. E. Lock , Mischa P. Woods

The deformation of a nonrotating body resulting from the application of a tidal field is measured by two sets of Love numbers associated with the gravitoelectric and gravitomagnetic pieces of the tidal field, respectively. The…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Philippe Landry , Eric Poisson