scholarly journals Fisher information and the weak equivalence principle of a quantum particle in a gravitational wave

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
James Q. Quach
Keyword(s):  
Gravitational Wave ◽  
Fisher Information ◽  
Equivalence Principle ◽  
Quantum Particle ◽  
Quantum Systems ◽  
Weak Equivalence ◽  
Weak Equivalence Principle ◽  
Mass Information

AbstractWe show that the weak equivalence principle (WEP) is violated for a quantum particle in a gravitational wave (GW) background, in the sense that extra mass information can be extracted in the presence of the GW. We quantify the degree of violation with the Fisher information of mass. This provides a precise characterisation of WEP violation by quantum systems in a GW, that should be useful in formalising other works that have argued for such violations heuristically.

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.

scholarly journals Quantum weak equivalence principle and the gravitational Casimir effect in superconductors

2020 ◽  
Vol 29 (14) ◽  
pp. 2043024
Author(s):  
Sebastian Bahamonde ◽  
Mir Faizal ◽  
James Q. Quach ◽  
Richard A. Norte
Keyword(s):  
Gravitational Waves ◽  
Fisher Information ◽  
Equivalence Principle ◽  
Casimir Effect ◽  
Weak Equivalence ◽  
Cooper Pairs ◽  
Weak Equivalence Principle ◽  
Available Technology ◽  
Ionic Lattice

We will use Fisher information to properly analyze the quantum weak equivalence principle. We argue that gravitational waves will be partially reflected by superconductors. This will occur as the violation of the weak equivalence principle in Cooper pairs is larger than the surrounding ionic lattice. Such reflections of virtual gravitational waves by superconductors can produce a gravitational Casimir effect, which may be detected using currently available technology.

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

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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