Superluminal Neutrinos IV
I joined in the JPL Astrophysics Journal Club meeting last Friday and we had quite s discussion about the OPERA superluminal neutrinos claim. The group agreed by the end of the 40 minutes or so that the reported superluminal velocity is unreliable for reasons disclosed here:
The OPERA neutrino velocity result and the synchronization of clocks; Carlo Contaldi, 28 Sep 2011 (v1), 29 Sep 2011 (v2).
There is a clock at each end of the experiment (one at CERN and one at Gran Sasso) that time stamps the data stream for that end of the experiment. The clock rates are synchronized to the GPS system, assuring that the two clocks "tick" at the same rate (1 second of time interval on either clock is 1 second of time interval as seen by the ensemble of GPS satellites). Furthermore, the clocks are initially synchronized by placing them together in the same place and simultaneously synchronizing both clocks to the same GPS satellites. This sets the rate on both clocks, and the offset between them in absolute time scale is also recorded. The two clocks are then moved to their respective locations. And therein lies the first part of the problem.
Sitting at the two ends of the experiment, the two clocks sit in different gravitational potentials and would naturally "tick" at different rates. That is compensated for by tying both clocks to the GPS signal, guaranteeing the same rate for both clocks. However, moving the clocks from their point of synchronization introduces a change in clock rate and therefore changes the previously measured offset in an essentially unpredictable manner that depends on the specific trajectory of the clocks through Earth's gravitational field. Re-synchronization to GPS at the final locations makes sure the clock rate is fixed, but does nothing to address the issue of the new offset between the two clocks.
According to the original OPERA paper (
Measurement of the neutrino velocity with the OPERA detector in the CNGS beam; The OPERA Collaboration, 22 Sep 2011), the offset was tested by the
German Physikalisch-Technische Bundesanstalt using a "portable time transfer device" (presumed to be a high precision atomic clock) and found to be 2.3 +/- 0.9 nano-seconds (preprint page 9). However, the portable time transfer device, whatever it is, has still to be moved between the two ends of the experiment in Switzerland & Italy. There will be an offset induced between the reported absolute times between the two ends of the experiment, because of the motion of the portable time transfer device through Earth's gravitational potential. This offset depends on the trajectory of the clock through Earth's gravitational field, and is actually the sum of several effects due not just to the gravitational field, but the fact that Earth is rotating (i.e., the
Sagnac effect has also to be considered). It is a big job to reliably calculate this offset induced in the portable time transfer device, as well as the initial offset induced by moving the two clocks from their original synchronization point.
Note that in the original OPERA paper, the authors note that the absolute GPS time scale cannot be set absolutely between the two sites with higher precision than about 100 nano-seconds (preprint page 9) because of differences induced by propagation of the GPS signal through the atmosphere. The portable time transfer device is intended to circumvent this problem, and get the offset down to the reported value of ~2 nano-seconds. But it appears that the clock synchronization process actually employed cannot determine the offset in fact any better than this ~100 nano-seconds, which puts the ~60 nano-second "early arrival" of the neutrinos well inside the range of uncertainty in the offset between the two clocks.
I find it quite interesting that modern technology has reached the point where relativistic effects, perhaps previously considered obscure & esoteric, are now center stage in determining experimental precision in a really important & fundamental way.