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Recently it was proposed to use cavity-optomechanical systems to test for quantum gravity corrections to quantum canonical commutation relations [Nat. Phys. 8, 393-397 (2012)]. Improving the achievable precision of such devices represents a…

Quantum Physics · Physics 2018-07-09 Shreya P. Kumar , Martin B. Plenio

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

The precision of optical atomic clocks is approaching a regime where they resolve gravitational time dilation on smaller scales than their own extensions. Hence, an accurate description of quantum clocks has to take their spatial extension…

General Relativity and Quantum Cosmology · Physics 2022-05-13 Tupac Bravo , Dennis Rätzel , Ivette Fuentes

Accurate gravity field calculations are necessary for landing on planets, moons, asteroids, minimoons, or other irregularly shaped bodies, but current methods become increasingly inaccurate and slow near the surface. We present high…

Earth and Planetary Astrophysics · Physics 2024-11-26 Thomas MacLean , Alan H. Barr

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

We present a gravitationally rigorous and clear answer, in the negative, to the question whether gravimetry with atom interferometers is equivalent to the the measurement of the relative gravitational time dilation of two clocks separated…

Quantum Physics · Physics 2011-07-01 C. S. Unnikrishnan , George T. Gillies

This work investigates alternative theories of gravity, the solutions to their field equations and the constraints that can be imposed upon them from observation and experiment. Specifically, we consider the cosmologies and spherically…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Clifton

The advent of novel measurement instrumentation can lead to paradigm shifts in scientific research. Optical atomic clocks, due to their unprecedented stability and uncertainty, are already being used to test physical theories and herald a…

Mass redistribution on Earth due to dynamic processes such as ice melting and sea level rise leads to a changing gravitational field, observable by geodetic techniques. Monitoring this change over time allows us to learn more about our…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Eva Hackmann , Moritz Huckfeldt , Claus Lämmerzahl , Dennis Philipp , Benny Rievers

Over the last decade of the 20th century and the first few years of the 21st, the uncertainty of atomic clocks has decreased by about two orders of magnitude, passing from the low 10^-14 to below 10^-16, in relative frequency . Space…

Space Physics · Physics 2009-05-04 Loïc Duchayne , Flavien Mercier , Peter Wolf

A spacetime interval connecting two neighbouring points can be measured in different unit systems. For instance, it can be measured in atomic unit defined in terms of fundamental constants existing in quantum theories. It is also possible…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Yousef Bisabr

The standard cosmological model is based on general relativity and includes dark matter and dark energy. An important prediction of this model is a fixed relationship between the gravitational potentials responsible for gravitational…

Astrophysics · Physics 2008-11-26 Pengjie Zhang , Michele Liguori , Rachel Bean , Scott Dodelson

Recent cosmological observations have provided numerous new observations with increasing precision that have led to the era of precision cosmology. The exquisite quality of these observations opens new possibilities towards measuring…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-14 Brahim Lamine , Yacob Ozdalkiran , Louis Mirouze , Furkan Erdogan , Stéphane Ilic , Isaac Tutusaus , Raphael Kou , Alain Blanchard

Global topological defects described by real scalar field in (3,1) dimensions coupled to gravity are analyzed. We consider a class of scalar potentials with explicit dependence with distance, evading Derrick's theorem and leading to defects…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Bazeia , C. Furtado , A. R. Gomes

We obtain constraints on non-Newtonian gravity following from the improved precision measurement of the Casimir force by means of atomic force microscope. The hypothetical force is calculated in experimental configuration (a sphere above a…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Bordag , B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We investigate a new experimental possibility of measuring the Newtonian gravitational constant $G$ by using the weak measurement. Amplification via weak measurement is one of the interesting phenomena of quantum mechanics. In this letter,…

Quantum Physics · Physics 2018-04-26 Kiyoharu Kawana , Daiki Ueda

Atomic clock interferometers are a valuable tool to test the interface between quantum theory and gravity, in particular via the measurement of gravitational time dilation in the quantum regime. Here, we investigate whether gravitational…

Quantum Physics · Physics 2023-03-15 Carlo Cepollaro , Flaminia Giacomini , Matteo G. A. Paris

We use the local value of the Hubble constant recently measured with 2.4% precision, as well as the latest compilation of cosmic chronometers data, together with standard probes such as Supernovae Type Ia and Baryon Acoustic Oscillation…

General Relativity and Quantum Cosmology · Physics 2016-08-10 Rafael C. Nunes , Supriya Pan , Emmanuel N. Saridakis

To evaluate a potential usually one analyzes trajectories of test particles. For the Galactic Center case astronomers use bright stars or photons, so there are two basic observational techniques to investigate a gravitational potential,…

General Relativity and Quantum Cosmology · Physics 2019-01-25 Alexander Zakharov

This paper is a generalization of earlier papers [Nucl. Phys. B 884, 344 (2014) (arXiv:1312.2759) and JHEP 6, 63 (2015) (arXiv:1401.2488)]. We generalize the idea of quantum clock time to quantum spacetime reference frame via physical…

General Relativity and Quantum Cosmology · Physics 2018-03-20 M. J. Luo