Test of local position invariance using a double-cavity laser system
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Test of Local Position Invariance Using a DoubleCavity Laser System A. R. Agacheva, I. Yu. Belovb,c, V. V. Bochkarevb,c, R. A. Daishevb,c, S. V. Mavrina, Z. G. Murzakhanovb, A. F. Skochilova,b, Yu. P. Chugunova, and O. P. Shindyaeva a
b
State Institute of Applied Optics, Kazan, 420075 Russia Dulkyn Scientific Center for GravitationalWave Research, Kazan, 420503 Russia c Kazan State University, ul. Kremlevskaya 18, Kazan, 420008 Russia email: [email protected] Received July 21, 2009
Abstract—The results of testing local position invariance, which is a constituent of the Einstein equivalence principle, in a “null” gravitational redshift experiment are reported. The processing of the experimental data collected during the fivemonth operation of a doublecavity laser system, where one cavity operates in the free generation mode and the frequency of the second cavity is stabilized with the nonlinear ultranarrow absorption resonance of the methane molecule, has confirmed the universality of the gravitational redshift law at a level of 0.9%. This result almost doubly improves the best existing accuracy (1.7%) of testing local position invariance for clocks of different physical natures. DOI: 10.1134/S1063776110010012
1. INTRODUCTION
Local position invariance can be tested in the experiments on the measurement of the gravitational redshift, according to which the dependence of the temp frequency ν of any clocks on the gravitational potential ϕ in weak gravitational fields (ϕ/c2, where c is the speed of light) has the form ν = ν0(1 + ϕ/c2), where ν0 is the frequency of the clocks in the absence of the gravitational force (eigenfrequency). Under the assumption that local position invariance is violated, this dependence can be represented in the form [2] ν A = ν 0 1 + ( 1 + β A ) ϕ2 , c where the dimensionless quantity βA characterizes the degree of deviation from the redshift law following from the Einstein equivalence principle and the sub script A indicates the possible dependence of the fre quency νA on the type of the clocks. The null gravitational redshift experiment [2], which is one of the methods for testing local position invariance, is based on the comparison of the times measured by nonidentical clocks A and B located at the points with the identical gravitational potential under time variations of the potential ϕ(t) = ϕ0 + Δϕ(t). In this case, the violation of local position invariance leads to the nonzero frequency difference Δϕ ( t ) (1) ν A – ν B = ν 0 ( β A – β B ) . 2 c A large number of experimental works concerning the test of local position invariance by Eq. (1) were performed by comparing the frequencies of the atomic
At present, general relativity is the commonly accepted metric theory of gravitation that is the basis of our knowledge on the spacetime structure. Begin ning with 1919, general relativity has been tested with increasing accuracy and successfully explains the entire body of the data of numerous experiments [1]. However, the problem of the descrip
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