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The rotational metric provides an exact solution to Einstein's clock-rate problem in curved spacetime, specifically, whether time flows more slowly at the equator of a compact object such as a neutron star than at its poles. It features a…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Zhen Zhang , Rui Zhang

We begin with a scenario that involves point-like observers starting at t=0 from the origin O of an inertial reference frame. They move with all possible proper accelerations in the positive direction of the OX axis. Equipped with light…

General Physics · Physics 2008-12-02 Bernhard Rothenstein , Stefan Popescu

This review is focused on tests of Einstein's theory of General Relativity with gravitational waves that are detectable by ground-based interferometers and pulsar timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Nicolas Yunes , Xavier Siemens

We derive a Hamiltonian for the external and internal dynamics of an electromagnetically bound, charged two-particle system in external electromagnetic and gravitational fields, including leading-order relativistic corrections. We apply…

Atomic Physics · Physics 2024-02-06 V. J. Martínez-Lahuerta , S. Eilers , T. E. Mehlstäubler , P. O. Schmidt , K. Hammerer

This paper shows as the relativistic Doppler effect can be extended also to time and space associated to moving bodies. This extension derives from the analysis of the wave-fronts of the light emitted by a moving source in inertial motion…

General Physics · Physics 2012-08-31 Giovanni Zanella

We study light absorption in many-electron interacting systems beyond the linear regime by using a {\em single} broadband impulse of an electric field in the instantaneous limit. We determine non-pertubatively the absorption cross section…

Chemical Physics · Physics 2021-04-20 Alberto Guandalini , Caterina Cocchi , Stefano Pittalis , Alice Ruini , Carlo Andrea Rozzi

Doppler shift formulas are derived for two less studied scenarios: stationary receiver and source in harmonic oscillatory motion and stationary receiver and source in uniform circular motion. For each of the scenarios we derive a formula,…

General Physics · Physics 2008-12-04 Bernhard Rothenstein , Albert Rothenstein

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

The paper introduces a method to solve inverse problems for hyperbolic systems where the leading order terms are non-linear. We apply the method to the coupled Einstein-scalar field equations and study the question whether the structure of…

Analysis of PDEs · Mathematics 2018-01-08 Yaroslav Kurylev , Matti Lassas , Lauri Oksanen , Gunther Uhlmann

Spectroscopy is an important tool for probing the properties of materials, chemicals and biological samples. We design a practical transmitter-receiver system that exploits entanglement to achieve a provable quantum advantage over all…

Quantum Physics · Physics 2020-11-03 Haowei Shi , Zheshen Zhang , Stefano Pirandola , Quntao Zhuang

In this paper, we study the stability in the inverse problem of determining the time dependent absorption coefficient appearing in the linear Boltzmann equation, from boundary observations. We prove in dimension $n\geq 2$, that the…

Analysis of PDEs · Mathematics 2019-09-04 Mourad Bellassoued , Yosra Boughanja

This review is focused on tests of Einstein's theory of general relativity with gravitational waves that are detectable by ground-based interferometers and pulsar-timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Nicolas Yunes , Xavier Siemens , Kent Yagi

Recent advances in atom interferometry have led to the development of quantum inertial sensors with outstanding performance in terms of sensitivity, accuracy, and long-term stability. For ground-based implementations, these sensors are…

High-energy extensions to General Relativity modify the Einstein-Hilbert action with higher-order curvature corrections and theory-specific coupling constants. The order of these corrections imprints a universal curvature dependence on…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Ethan Payne , Maximiliano Isi , Katerina Chatziioannou , Luis Lehner , Yanbei Chen , Will M. Farr

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

Recently, Ryu et al. generalized Einstein's three coefficients for absorption, stimulated emission, and spontaneous emission between two quantum levels to a set of four spectra between two broadened bands. The spectra obey generalized…

Chemical Physics · Physics 2026-04-27 Aman K. Agrawal , Jisu Ryu , David M. Jonas

We investigate, in a model-independent way, the conditions required to obtain a satisfactory model of extended inflation in which inflation is brought to an end by a first-order phase transition. The constraints are that the correct present…

Astrophysics · Physics 2009-10-28 Anne M Green , Andrew R Liddle

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

One contribution to the time resolution of a scintillation detector is the signal time spread due to path length variations of the detected photons from a point source. In an experimental study a rectangular scintillator was excited by…

The theory of special relativity derives from the Lorentz transformation. The Lorentz transformation implies differential simultaneity and light speed isotropy. Experiments to probe differential simultaneity should be able to distinguish…

General Physics · Physics 2016-08-31 Edward T. Kipreos , Riju S. Balachandran
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