scholarly journals The motion of a particle in a gravitational field in a rotationally-invariant noncommutative space of a canonical type and the weak equivalence principle

2018 ◽  
Vol 22 (1) ◽  
Author(s):  
Kh. P. Gnatenko ◽  
O. O. Morozko ◽  
Yu. S. Krynytskyi
Keyword(s):  
Gravitational Field ◽  
Equivalence Principle ◽  
Noncommutative Space ◽  
Weak Equivalence ◽  
Weak Equivalence Principle ◽  
Canonical Type ◽  
Rotationally Invariant

scholarly journals Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle

2016 ◽  
Vol 31 (05) ◽  
pp. 1650026 ◽  
Author(s):  
Kh. P. Gnatenko ◽  
V. M. Tkachuk
Keyword(s):  
Gravitational Field ◽  
Equivalence Principle ◽  
Noncommutative Space ◽  
Uniform Field ◽  
Exact Calculations ◽  
Rotationally Invariant ◽  
The Way

We consider the motion of a particle in a uniform field in noncommutative space which is rotationally invariant. On the basis of exact calculations, it is shown that there is an effect of coordinate noncommutativity on the mass of a particle. A particular case of motion of a particle in a uniform gravitational field is considered and the equivalence principle is studied. We propose the way to solve the problem of violation of the equivalence principle in the rotationally invariant noncommutative space.

Higher-order gravity and the classical equivalence principle

2017 ◽  
Vol 32 (34) ◽  
pp. 1750185
Author(s):  
Antonio Accioly ◽  
Wallace Herdy
Keyword(s):  
Gravitational Field ◽  
Equivalence Principle ◽  
Free Fall ◽  
Higher Order ◽  
Tree Level ◽  
Weak Equivalence ◽  
Weak Equivalence Principle ◽  
Quantum Particles ◽  
Higher Order Gravity ◽  
Energy Dependent

As is well known, the deflection of any particle by a gravitational field within the context of Einstein’s general relativity — which is a geometrical theory — is, of course, nondispersive. Nevertheless, as we shall show in this paper, the mentioned result will change totally if the bending is analyzed — at the tree level — in the framework of higher-order gravity. Indeed, to first order, the deflection angle corresponding to the scattering of different quantum particles by the gravitational field mentioned above is not only spin dependent, it is also dispersive (energy-dependent). Consequently, it violates the classical equivalence principle (universality of free fall, or equality of inertial and gravitational masses) which is a nonlocal principle. However, contrary to popular belief, it is in agreement with the weak equivalence principle which is nothing but a statement about purely local effects. It is worthy of note that the weak equivalence principle encompasses the classical equivalence principle locally. We also show that the claim that there exists an incompatibility between quantum mechanics and the weak equivalence principle, is incorrect.

The Nordström theory

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Gravitational Field ◽  
Scalar Field ◽  
Equivalence Principle ◽  
Charged Particles ◽  
Inertial Mass ◽  
Massless Scalar ◽  
Weak Equivalence ◽  
Massless Scalar Field ◽  
Particle Charge ◽  
Weak Equivalence Principle

This chapter turns to the description of the interaction of a scalar field with particles which ‘feel’—that is, ‘charged’ particles. If the field is massless, and therefore long-range, and if the particle charge corresponds to its inertial mass, we have what is known as Nordström theory, a coherent theory of gravity which, however, disagrees with experiment. Nordström theory describes gravity by means of a massless scalar field φ‎. According to the ‘weak equivalence principle’, gravitational masses are equal to inertial masses, m = mg. When velocities are small, the gravitational field created is also weak.

scholarly journals Satellite Laser-Ranging as a Probe of Fundamental Physics

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Ignazio Ciufolini ◽  
Richard Matzner ◽  
Antonio Paolozzi ◽  
Erricos C. Pavlis ◽  
Giampiero Sindoni ◽  
...  
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Equivalence Principle ◽  
Free Fall ◽  
Satellite Laser Ranging ◽  
Laser Ranging ◽  
Weak Equivalence ◽  
Fundamental Physics ◽  
Weak Equivalence Principle ◽  
Gravitational Theories

Abstract Satellite laser-ranging is successfully used in space geodesy, geodynamics and Earth sciences; and to test fundamental physics and specific features of General Relativity. We present a confirmation to approximately one part in a billion of the fundamental weak equivalence principle (“uniqueness of free fall”) in the Earth’s gravitational field, obtained with three laser-ranged satellites, at previously untested range and with previously untested materials. The weak equivalence principle is at the foundation of General Relativity and of most gravitational theories.

scholarly journals Testing the Weak Equivalence Principle Using Optical and Near-infrared Crab Pulses

2018 ◽  
Vol 861 (1) ◽  
pp. 66 ◽  
Author(s):  
Calvin Leung ◽  
Beili Hu ◽  
Sophia Harris ◽  
Amy Brown ◽  
Jason Gallicchio ◽  
...  
Keyword(s):  
Equivalence Principle ◽  
Near Infrared ◽  
Weak Equivalence ◽  
Weak Equivalence Principle

scholarly journals Tests of weak equivalence principle with the gravitational wave signals in the LIGO–Virgo catalogue GWTC-1

2020 ◽  
Vol 499 (1) ◽  
pp. L53-L57
Author(s):  
Shu-Cheng Yang ◽  
Wen-Biao Han ◽  
Gang Wang
Keyword(s):  
Gravitational Wave ◽  
Equivalence Principle ◽  
Arrival Time ◽  
Gamma Ray ◽  
Weak Equivalence ◽  
Radio Bursts ◽  
Weak Equivalence Principle ◽  
Massive Galaxies ◽  
Binary Black Hole ◽  
Gravitational Theories

ABSTRACT The weak equivalence principle (WEP) is the cornerstone of gravitational theories. At the local scale, WEP has been tested to high accuracy by various experiments. On the intergalactic distance scale, WEP could be tested by comparing the arrival time of different messengers emitted from the same source. The gravitational time delay caused by massive galaxies is proportional to γ + 1, where the parameter γ is unity in general relativity. The values of γ for different massless particles should be different if WEP is violated, i.e. Δγ is used to indicate the deviation from WEP. So far, |Δγ| has been constrained with gamma-ray bursts, fast radio bursts, etc. Here, we report a new constraint of |Δγ| by using the gravitational wave data of binary black hole coalescences in the LIGO–Virgo catalogue GWTC-1. The best constraints imply that |Δγ| ≲ 10−15 at 90 per cent confidence level.

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