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General Relativity (GR) is shown to be a complete theory with respect to the isochrony of the pendulum. This guarantees that time can be measured with a mechanical clock within the theory itself as a matter of principle. The proper and…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Miguel A. Martin-Delgado

Current attempts to probe general relativistic effects in quantum mechanics focus on precision measurements of phase shifts in matter-wave interferometry. Yet, phase shifts can always be explained as arising due to an Aharonov-Bohm effect,…

Quantum Physics · Physics 2011-11-09 Magdalena Zych , Fabio Costa , Igor Pikovski , Caslav Brukner

The influence of space-time torsion on gravitational interaction at cosmological and astrophysical scales is discussed within the framework of gauge gravitation theory in Riemann-Cartan space-time. It is shown that the interaction of the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 A. V. Minkevich

The passage of time is tracked by counting oscillations of a frequency reference, such as Earth's revolutions or swings of a pendulum. By referencing atomic transitions, frequency (and thus time) can be measured more precisely than any…

We study gravitational curvature effects in circular and radial geodesics in static, spherically symmetric space-times, using Fermi normal coordinates. We first set up these coordinates in the general case, and then use this to study…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Anshuman Dey , Abhisek Samanta , Tapobrata Sarkar

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

Reference frames are crucial for describing local observers in general relativity. In quantum gravity, different proposals exist for how to treat reference frames. There are models with either classical or quantum reference frames.…

General Relativity and Quantum Cosmology · Physics 2025-09-24 Kristina Giesel , Viktoria Kabel , Wolfgang Wieland

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

The present work analyzes the consequences of the gravitomagnetic effect of the Earth upon a bosonic gas in which the corresponding atoms have a non--vanishing orbital angular momentum. Concerning the ground state of the Bogoliubov space of…

General Relativity and Quantum Cosmology · Physics 2015-06-04 A. Camacho , E. Castellanos

Concerning the gravitational corrections to the running of gauge couplings two different results were reported. Some authors claim that gravitational correction at the one-loop level indicates an interesting effect of universal…

High Energy Physics - Theory · Physics 2008-11-04 Michael Maziashvili

A modified theory of general relativity is proposed, where the gravitational constant is replaced by a dynamical variable in space-time. The dynamics of the gravitational coupling is described by a family of parametrized null geodesics,…

General Relativity and Quantum Cosmology · Physics 2016-04-14 Felix Finster , Christian Röken

Using the linearized theory of general relativity, the gravitomagnetic analogue of the Barnett effect is derived. Further theoretical and experimental investigation is recommended, due to the expected macroscopic values of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. J. de Matos , M. Tajmar

In this paper we consider the possibility of measuring the corrections induced by the square of the parameter a_g of the Kerr metric to the general relativistic deflection of electromagnetic waves and time delay in an Earth based…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lorenzo Iorio

The two equations of motion for a test particle are compared with each other. One is in the Non commutative space involving a static rigid sphere (as a source of central force) and the other is in the usual space involving a slowly…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Behrooz Malekolkalami , Awat Lotfi

Atomic clocks have recently reached a fractional timing precision of $<10^{-18}$. We point out that an array of atomic clocks, distributed along the Earth's orbit around the Sun, will have the sensitivity needed to detect the time dilation…

Instrumentation and Methods for Astrophysics · Physics 2015-01-29 Abraham Loeb , Dan Maoz

We discuss gravitomagnetism in connection with rotating cylindrical systems. In particular, the gravitomagnetic clock effect is investigated for the exterior vacuum field of an infinite rotating cylinder. The dependence of the clock effect…

General Relativity and Quantum Cosmology · Physics 2017-09-27 B. Mashhoon , N. O. Santos

We present a general method which can be used for geometrical and physical interpretation of an arbitrary spacetime in four or any higher number of dimensions. It is based on the systematic analysis of relative motion of free test…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Jiri Podolsky , Robert Svarc

Rotation of a body, according to Einstein's theory of general relativity, generates a "force" on other matter; in Newton's gravitational theory only the mass of a body produces a force. This phenomenon, due to currents of mass, is known as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. Ciufolini , D. Lucchesi , F. Vespe , F. Chieppa

Non-metricity provides a natural extension of Riemannian geometry, yet its experimental signatures remain largely unexplored. In this work we investigate how spacetime non-metricity can be probed through high-precision observations,…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Mohsen Khodadi , Emmanuel N. Saridakis

A possible way to capture the effects of quantum gravity in spacetime at a mesoscopic scale, for relatively low energies, is through an energy dependent metric, such that particles with different energies probe different spacetimes. In this…

General Relativity and Quantum Cosmology · Physics 2022-10-12 G. Chirco , S. Liberati , J. J. Relancio
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