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We summarize our investigation of the extent to which the choice of internal clock influences the dynamics in quantum models of gravity. Firstly, at the classical level, we define an extension to the Hamilton-Jacobi theory of contact…

General Relativity and Quantum Cosmology · Physics 2015-12-15 Przemyslaw Malkiewicz

We study the dynamical evolution of two quantum clocks interacting with a relativistic gravitational potential. We find a time dilation effect for the clocks in agreement with the gravitational time dilation as obtained from the…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Tommaso Favalli , Augusto Smerzi

In this paper we deduce a quite general formula which allows the relation of clock rates at two different space time points to be discussed. In the case of a perturbed Robertson-Walker metric, our analysis leads to an equation for the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chongming Xu , Xuejun Wu , Erwin Bruening

According to relativity, the reading of an ideal clock is interpreted as the elapsed proper time along its classical trajectory through spacetime. In contrast, quantum theory allows the association of many simultaneous trajectories with a…

Einstein's theory of general relativity predicts that a clock at a higher gravitational potential will tick faster than an otherwise identical clock at a lower potential, an effect known as the gravitational redshift. Here we perform a…

Atomic Physics · Physics 2023-07-28 Xin Zheng , Jonathan Dolde , Matthew C. Cambria , Hong Ming Lim , Shimon Kolkowitz

An orbiting `photon clock' is proposed to test directly the relativity of simultaneity effect of special relativity. This is done by exchanging microwave signals between two satellites in low Earth orbit carrying clocks that have previously…

General Physics · Physics 2011-06-06 J. H. Field

The Einstein field equations in linear post-Newtonian approximation can be written in analogy with electromagnetism, in the so-called gravito-electromagnetic formalism. We use this analogy to study the gravitational field of a massive ring:…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Matteo Luca Ruggiero

Whether the space-time is curved or not? The experimental criterions to judge this point are: (1) The results of three classical relativistic experiments in essence are favorable to the special relativistic gravitational theory (base in the…

General Physics · Physics 2007-05-23 Z. Junhao , C. Xiang

The relative motion of a classical relativistic spinning test particle is studied with respect to a nearby free test particle in the gravitational field of a rotating source. The effects of the spin-curvature coupling force are elucidated…

General Relativity and Quantum Cosmology · Physics 2011-07-19 C. Chicone , B. Mashhoon , B. Punsly

Beyond the Newtonian approximation, gravitational fields in general relativity can be described using a formalism known as gravitoelectromagnetism. In this formalism a vector potential, the gravitomagnetic potential, arises as a result of…

General Relativity and Quantum Cosmology · Physics 2021-09-02 Viktor T. Toth

The special relativistic test theory of Mansouri and Sexl is sketched. Theories based on different clock synchronisations are found to be equivalent to special relativity, as regards experimental results. The conventionality of clock…

General Relativity and Quantum Cosmology · Physics 2007-05-23 François Goy

After an introduction emphasizing the importance of the gravitomag- netic effect in general relativity, with a resume of some space-based appli- cations, we discuss the so-called magnetic components of gravitational waves (GWs), which have…

General Relativity and Quantum Cosmology · Physics 2010-01-22 Lorenzo Iorio , Christian Corda

As has been shown before (a brief comment will be given in the text), relativistic mass and relativistic time dilation of moving bodies are equivalent as well as time and mass in the rest frame. This implies that the time dilation due to…

General Physics · Physics 2007-05-23 Ernst Karl Kunst

We analytically work out the orbital effects induced by the gravitomagnetic spin-octupole moment of an extended spheroidal rotating body endowed with angular momentum $\boldsymbol{S}$ and quadrupole mass moment $J_2$. Our results,…

General Relativity and Quantum Cosmology · Physics 2019-07-04 Lorenzo Iorio

We study the interaction between gravitational waves and a quantum two-level system consisting of a spin 1/2 particle using the formalism of the proper detector frame. This approach highlights the effects of gravitational waves on both the…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Matteo Luca Ruggiero

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 gravitational redshift forms the central part of the majority of the classical tests for the general theory of relativity. It could be successfully checked even in laboratory experiments on the earth's surface. The standard derivation…

General Relativity and Quantum Cosmology · Physics 2015-05-28 L. Acedo , M. M. Tung

Supported only in the two 1905 Einstein's papers on Relativity and a very rigid respect for the historical context, an analysis is done of the derivation of the universal mass-energy relationship. It is found, contrary to the today accepted…

General Physics · Physics 2010-09-28 Rafael A. Valls Hidalgo-Gato , Natalio Svarch Scharager

We study the motion of test particles and electromagnetic waves in the Kerr-Newman-Taub-NUT spacetime in order to elucidate some of the effects associated with the gravitomagnetic monopole moment of the source. In particular, we determine…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Donato Bini , Christian Cherubini , Robert T. Jantzen , Bahram Mashhoon

In this paper we treat the so called clock paradox in an analytical way by assuming that a constant and uniform force F of finite magnitude acts continuously on the moving clock along the direction of its motion assumed to be rectilinear.…

Classical Physics · Physics 2007-05-23 Lorenzo Iorio
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