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The potential of the gravitational microlensing inside our Galaxy for testing the Einstein formula for the gravitational light deflection is discussed. For this purpose, the lens mapping is modified by introducing parameter eps, which…

General Relativity and Quantum Cosmology · Physics 2020-12-22 A. N. Alexandrov , V. M. Sliusar , V. I. Zhdanov

The space-time metric is widely believed to be subject to stochastic fluctuations induced by quantum gravity at the Planck scale. This work is based on two different phenomenological approaches being currently made to this topic, and…

Astrophysics · Physics 2009-11-07 R. Le Gallou

Recent results have shown that a field non-minimally coupled to the electromagnetic Lagrangian can induce a violation of the Einstein equivalence principle. { This kind of coupling is present in a very wide class of gravitation theories.}…

General Relativity and Quantum Cosmology · Physics 2017-09-27 R. F. L. Holanda , S. H. Pereira , V. C. Busti , C. H. G. Bessa

After reviewing the meaning of various equivalence principles and the structure of electrodynamics, we give a fairly detailed account of the construction of the light cone and a core metric from the equivalence principle for the photon (no…

General Relativity and Quantum Cosmology · Physics 2016-03-08 Wei-Tou Ni

In the process of work it has been found that space-time quantum fluctuations are naturally described in terms of the deformation parameter introduced on going from the well-known quantum mechanics to that at Planck scales and put forward…

General Physics · Physics 2013-06-13 A. E. Shalyt-Margolin

We present a method of directly testing whether time continues to have its usual meaning on scales of <= t_P = sqrt(hbar G/c^5) ~ 5.4E-44 s, the Planck time. According to quantum gravity, the time t of an event cannot be determined more…

Astrophysics · Physics 2009-11-07 Richard Lieu , Lloyd W. Hillman

The Equivalence Principle (EP) is not one of the ``universal'' principles of physics (like the Action Principle). It is a heuristic hypothesis which was introduced by Einstein in 1907, and used by him to construct his theory of General…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Thibault Damour

Explosive astrophysical transients at cosmological distances can be used to place precision tests of the basic assumptions of relativity theory, such as Lorentz invariance, the photon zero-mass hypothesis, and the weak equivalence principle…

High Energy Astrophysical Phenomena · Physics 2021-02-09 Jun-Jie Wei , Xue-Feng Wu

A cornerstone of special relativity is Lorentz Invariance, the postulate that all observers measure exactly the same photon speeds independently on the photon energies. However, a hypothesized structure of spacetime may alter this…

High Energy Astrophysical Phenomena · Physics 2017-08-23 Vlasios Vasileiou

The presence of gravity implies corrections to the Einstein-Planck formula $E=h \nu$. This gives hope that the divergent blueshift in frequency, associated to the presence of a black hole horizon, could be smoothed out for the energy. Using…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Alessandro Fabbri , Jose Navarro-Salas

Weak Equivalent Principle (WEP) can be tested through the parameterized post-Newtonian parameter $\gamma$, representing the space curvature produced by unit rest mass. The parameter $\gamma$ in turn has been constrained by comparing the…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Yueyang Zhang , Biping Gong

Investigation into the applicability of the equivalence principle in quantum mechanics has taken many forms, with varying conclusions. Here, a dynamical semi-classical description of a wave packet in terms of its center of mass and higher…

Quantum Physics · Physics 2023-10-16 Joseph Balsells , Martin Bojowald

Modifications of gravity generated by a multiplicative coupling of a scalar field to the electromagnetic Lagrangian lead to a breaking of Einstein equivalence principle (EEPB) as well as to variations of fundamental constants. In these…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. F. L. Holanda , K. N. N. O. Barros

In this work, a precise quantum formulation of Einstein's Equivalence Principle (EEP) is developed within the framework of nonrelativistic quantum mechanics. By employing detailed analyses in both the Schr\"odinger and Heisenberg pictures,…

Quantum Physics · Physics 2025-03-03 S. A. Torres

Validity of just a few physical conditions comprising the Einstein Equivalence Principle (EEP) suffices to ensure that gravity can be understood as space-time geometry. EEP is therefore subject to an ongoing experimental verification, with…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Magdalena Zych , Caslav Brukner

Lorentz invariance violation in quantum gravity (QG) models or a nonzero photon mass, $m_\gamma$, would lead to an energy-dependent propagation speed for photons, such that photons of different energies from a distant source would arrive at…

General Relativity and Quantum Cosmology · Physics 2021-11-19 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira , Jens Jasche

We consider the problem of testing the Einstein Equivalence Principle (EEP) by measuring the gravitational redshift with two Earth-orbiting stable atomic clocks. For a reasonably restricted class of orbits we find an optimal experiment…

General Relativity and Quantum Cosmology · Physics 2021-08-24 D. A. Litvinov , S. V. Pilipenko

The Einstein's equivalence principle and experiments, in which bodies and observers are in different G potentials, have been used to prove that the chain of hypothesis coming from assuming the absolute invariability of the bodies, after a…

Astrophysics · Physics 2007-05-23 Rafael A. Vera

One of the cornerstones of modern physics is Einstein's special relativity, with its constant speed of light and zero photon mass assumptions. Constraint on the rest mass m_{\gamma} of photons is a fundamental way to test Einstein's theory,…

High Energy Astrophysical Phenomena · Physics 2016-10-03 Bo Zhang , Ya-Ting Chai , Yuan-Chuan Zou , Xue-Feng Wu

It was recently proposed to use extra-galactic point sources to constrain space-time quantum fluctuations in the universe. In these proposals, the fundamental "fuzziness" of distance caused by space-time quantum fluctuations have been…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yanbei Chen , Linqing Wen