- #1
MachPrincipe
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When I first heard about the OPERA apparent superluminal results on the measurement of neutrinos speed, I tried to locate an explanation using all the possible relativistic effects. All were too small to account for a difference of 18 meters of virtual distance among photons and neutrinos.
Then I realized that the effect could be non-relativistic. I called it «The Sagnac satellite effect». They were using GPS satellites to track times. If one assumes that somehow in the calculations they didn't take into account the time it takes for a light ray to reach the lab from the satellite, it turns out that there is a difference which is not only of the same order of magnitude than expected, but also close to the 18 meters figure.
A back-of-the-envelope calculation uses this:
d = v_e * h / c * cos (theta)
where v_e is the Earth rotation speed (almost linear if only a few nanoseconds are taken into accout), h is the height of GPS satellite and theta is the mean latitude of the center of the segment connecting Gran Sasso and CERN.
v_e = 464 m/s
h = 20.000 km
theta = 44°
Thus d ~ 23 meters.Is it possible that a loosely tied switch could have turned off the correction needed for accounting this Sagnac effect when computing arrival times?
I am a little puzzled because relativistic effect were orders of magnitude different, and however this effect is not of the same order but close to the value. Is it just a big coincidence?
Then I realized that the effect could be non-relativistic. I called it «The Sagnac satellite effect». They were using GPS satellites to track times. If one assumes that somehow in the calculations they didn't take into account the time it takes for a light ray to reach the lab from the satellite, it turns out that there is a difference which is not only of the same order of magnitude than expected, but also close to the 18 meters figure.
A back-of-the-envelope calculation uses this:
d = v_e * h / c * cos (theta)
where v_e is the Earth rotation speed (almost linear if only a few nanoseconds are taken into accout), h is the height of GPS satellite and theta is the mean latitude of the center of the segment connecting Gran Sasso and CERN.
v_e = 464 m/s
h = 20.000 km
theta = 44°
Thus d ~ 23 meters.Is it possible that a loosely tied switch could have turned off the correction needed for accounting this Sagnac effect when computing arrival times?
I am a little puzzled because relativistic effect were orders of magnitude different, and however this effect is not of the same order but close to the value. Is it just a big coincidence?