scholarly journals Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity

2017 ◽  
Vol 381 (31) ◽  
pp. 2463-2469 ◽  
Author(s):  
Kh.P. Gnatenko ◽  
V.M. Tkachuk
Keyword(s):  
Phase Space ◽  
Equivalence Principle ◽  
Weak Equivalence ◽  
Noncommutative Phase Space ◽  
Weak Equivalence Principle

scholarly journals Kinematic variables in noncommutative phase space and parameters of noncommutativity

2017 ◽  
Vol 32 (31) ◽  
pp. 1750166 ◽  
Author(s):  
Kh. P. Gnatenko
Keyword(s):  
Phase Space ◽  
Kinetic Energy ◽  
Relative Motion ◽  
Equivalence Principle ◽  
Composite System ◽  
Center Of Mass ◽  
Weak Equivalence ◽  
Noncommutative Phase Space ◽  
Weak Equivalence Principle ◽  
Particle Composite

We consider a space with noncommutativity of coordinates and noncommutativity of momenta. It is shown that coordinates in noncommutative phase space depend on mass therefore they cannot be considered as kinematic variables. Also, noncommutative momenta are not proportional to a mass as it has to be. We find conditions on the parameters of noncommutativity on which these problems are solved. It is important that on the same conditions the properties of kinetic energy are preserved, the motion of the center-of-mass of composite system and relative motion are independent, the trajectory of a particle (composite system) is independent of its mass and composition therefore the weak equivalence principle is recovered in four-dimensional (2D configurational space and 2D momentum space) noncommutative phase space.

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.

Precision tests of Einstein's Weak Equivalence Principle for antimatter

2000 ◽  
Vol 25 (6) ◽  
pp. 1245-1249 ◽  
Author(s):  
F.M. Huber ◽  
R.A. Lewis ◽  
E.W. Messerschmid ◽  
G.A. Smith
Keyword(s):  
Equivalence Principle ◽  
Weak Equivalence ◽  
Weak Equivalence Principle

True dynamical tests of the weak equivalence principle for matter and anti-matter

2014 ◽  
Vol 30 ◽  
pp. 1460267 ◽  
Author(s):  
C. S. Unnikrishnan
Keyword(s):  
Equivalence Principle ◽  
Practical Importance ◽  
Weak Equivalence ◽  
Intrinsic Properties ◽  
General Belief ◽  
Weak Equivalence Principle ◽  
Quantum Numbers ◽  
Remarkable Result ◽  
Relativistic Kinetic Energy ◽  
The Universe

After a brief review of the evidence for the validity of the Weak Equivalence principle for anti-matter, I show that, contrary to general belief, the near equality of the Shapiro delay for photons, neutrinos and anti-neutrinos in the galactic gravitational potential is not a true test of the WEP for their intrinsic properties and quantum numbers due to the overwhelming contribution to the gravitational mass from the relativistic kinetic energy. Then I prove the remarkable result that particles that obey the Newtonian law of dynamics automatically respect the WEP due to the firm equivalence between the law of motion and the WEP in any relativistic scenario, through gravity of all the matter in the Universe. Thus a test of the validity of Newtons's law in any force field is a true test of the WEP and provides strong direct tests of WEP for anti-particles. This result opens up an entire new insight of conceptual and practical importance for the tests of WEP.

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