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Time dilation $\frac{1}{\sqrt{1-v^2}}$ and relative velocity $v$ are observationally indistinguishable in the special theory of relativity, a duality that carries over into the general theory under Fermi coordinates along a curve (in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hunter Monroe

In this review we present the problem of time in quantum physics, including a short history of the problem and the known objections about considering time a quantum observable. The need to deal with time as an observable is elaborated…

Quantum Physics · Physics 2022-06-13 M. Basil Altaie , Daniel Hodgson , Almut Beige

We present a general relativistic model of a spherical shell of matter with a perfect fluid on its surface coupled to an internal oscillator, which generalizes a model recently introduced by the authors to construct a self-gravitating…

General Relativity and Quantum Cosmology · Physics 2015-10-16 Cisco Gooding , William G. Unruh

We consider a class of Lorentz-violating theories of gravity involving a timelike unit vector field (the aether) coupled to a metric, two examples being Einstein-aether theory and Ho\v{r}ava gravity. The action always includes the Ricci…

General Relativity and Quantum Cosmology · Physics 2015-09-01 Ted Jacobson , Antony J. Speranza

The general relativistic gravitomagnetic clock effect consists in the fact that two massive test bodies orbiting a central spinning mass in its equatorial plane along two identical circular trajectories, but in opposite directions, take…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lorenzo Iorio

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

There is some inconclusive evidence that measurement devices sensitive to local gravitation exhibit anomalous behaviour during solar eclipses. We investigate if these findings can be incorporated into the standard general relativistic model…

General Physics · Physics 2007-05-23 Alasdair Macleod

In previous work we have shown how a worldview that has its origins in the ideas of Aristotle, Leibniz and Mach leads to a quasi-classical (that is, one-clock) metric theory of gravitation (astro-ph/0107397) which, for example, when applied…

Astrophysics · Physics 2007-05-23 D F Roscoe

Two particularly simple ideal clocks exhibiting intrinsic circular motion with the speed of light and opposite spin alignment are described. The clocks are singled out by singularities of an inverse Legendre transformation for relativistic…

Mathematical Physics · Physics 2016-03-09 Łukasz Bratek

General relativity has predicted the existence of gravitational waves (GW), which are waves of the distortions of space-time with two degrees of polarization and the propagation speed of light. Alternative theories predict more…

High Energy Astrophysical Phenomena · Physics 2015-05-28 K. J. Lee

We consider Weyl gauge theories of gravity (WGTs), which are invariant both under local Poincar\'e transformations and local changes of scale. Such theories may be interpreted as gauge theories in Minkowski spacetime, but their…

General Relativity and Quantum Cosmology · Physics 2021-03-25 Michael Hobson , Anthony Lasenby

In a uniform gravitational field, classical test objects fall universally. Any reference object or observer will fall in the same universal manner. Therefore, a uniform gravitational field cannot create dynamics between observers and…

Quantum Physics · Physics 2024-04-05 Peter Asenbaum , Chris Overstreet , Mark A. Kasevich

The GRACE and GRACE-FO missions have provided an unprecedented quantification of large-scale changes in the water cycle. However, it is still an open problem of how these missions' data sets can be referenced to a ground truth. Meanwhile,…

Geophysics · Physics 2021-04-28 Stefan Schröder , Simon Stellmer , Jürgen Kusche

The successful miniaturization of extremely accurate atomic clocks invites prospects for satellite missions to perform precise timing experiments. This will allow effects predicted by general relativity to be detected in Earth's…

Earth and Planetary Astrophysics · Physics 2014-04-07 Raymond Angélil , Prasenjit Saha , Ruxandra Bondarescu , Philippe Jetzer , Andreas Schärer , Andrew Lundgren

The phenomenal rotational stability of millisecond pulsars allows them to be used as precise celestial clocks. An array of these pulsars can be exploited to search for correlated perturbations in their pulse times of arrival due to…

Instrumentation and Methods for Astrophysics · Physics 2014-10-15 M. A. McLaughlin

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

We submit the viewpoint that, perhaps, some of the controversies in gravitation occurred during this century are not due to insufficiencies of Einstein's field equations, but rather to insufficiencies in the mathematics used for their…

General Physics · Physics 2011-04-15 Ruggero Maria Santilli

Gravitational decoherence (GD) refers to the effects of gravity in actuating the classical appearance of a quantum system. Because the underlying processes involve issues in general relativity (GR), quantum field theory (QFT) and quantum…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Charis Anastopoulos , Bei-Lok Hu

Time-like and space-like invariant space-time intervals are used to analyse measurements of spatial and temporal distances defined by two spatially-separated clocks. The time dilatation effect is confirmed, but not `relativity of…

General Physics · Physics 2009-09-01 J. H. Field

From the principle of equivalence, Einstein predicted that clocks slow down in a gravitational field. Since the general theory of relativity is based on the principle of equivalence, it is essential to test this prediction accurately.…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Supurna Sinha , Joseph Samuel
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