(September 27, 2017 at 5:13 pm)Alex K Wrote: For the first time, a detection of grav. waves from merging black holes at three simultaneous detectors has been announced today after the italian VIRGO machine had joined the two LIGO detectors in Louisiana and Washington a while ago. The third detector not only improves sensitivity but has allowed a 10x more precise determination of the source region on the sky. This should bolster the team's chances for this year's Nobel which will be announced soon.
According to the Wiki article on atomic clocks, the best of the experimental optical matrix clocks have an accuracy of around 2.1 x 10^-18. That is accuracy to less than a second over the age of the universe. Clocks that accurate could be used to detect gravitational time dilation for an elevation change of only 2 cm. The article says that is "close" to useful for measuring relativistic geodesy.
I believe it is safe for me to assume these gravitational waves we are detecting are producing a time dilation a lot smaller than that. Having said that what kind of accuracy do we need out of clocks to make them useful for using time dilation to detect gravitational waves?
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