I don't think you've read through everything in the Wiki on this. The very paper you linked to is cited on the second Ring Laser Gyroscope page in the section 'Fluctuating Earth Rotation Rate'.
The bottom of this page:
https://wiki.tfes.org/Ring_Laser_Gyroscope
continues onto a second page:
https://wiki.tfes.org/Ring_Laser_Gyroscope_-_Seismology
You're absolutely right - I hadn't spotted the reference to that paper in the seismology page. My apologies. That said, it doesn't really flow as a 'second page' - it's just one of several links in the article.
Reading the seismology page, and indeed the RLG main page, is a fascinating journey into the bizarre analysis that runs through most of the wiki. I'm still not clear if you have wilfully misrepresented, or just completely misunderstood what is being discussed in the various papers. That one that I linked to above, for example, is describing a new gyro with a sensitivity of below ∆Ω
E x 10
-8. They aren't talking about being able to measure the earth's rotation - they are interested in parts per million of it. The earth's rotation is so ridiculously, stunningly obvious, and so easy to detect - they are way, way past that.
There's a great deal that's wrong within the wiki. Here's a few:
The Ring Laser Gyroscope (RLG) is a consumer device version of the Michelson-Gale-Pearson Experiment (MGP)
Not really. RLG's are expensive, and accurate ones are even more so. They aren't really consumer products. MGP didn't have access to lasers, or the optical technology required for a RLG. The Canadian paper you cite in the wiki was specifically looking at a low cost model, with associated reductions in accuracy. The Honeywell GG1320AN, which seems to be the industry standard model, has far better specs - a quoted bias drift, for example, of 0.0035 deg/hr, compared to the cheaper/older model used in your paper, which had bias drifts measuring in the low single digit degrees/hr.
Essentially the tests saw wild results. There was almost no change to light's velocity in one test, and then a lot of change in another test. It is perplexing that the rotation of the earth would start and stop when tested at different times. Only through the statistics was it claimed that the experiment saw the rotation of the earth. The inconsistent results were ambiguous in nature and could offer no evidence of the shift in the phase of the light beams. As stated above, the results of the Michelson-Gale-Pearson experiment were inconsistent and an algorithm was applied to get the desired result.
Again, not really. MGP were working with relatively primitive equipment - it is extremely hard to measure fringe distance manually like that, especially when the apparatus would have been hugely sensitive to changes in temperature and any local vibration. There is absolutely nothing wrong with taking a statistical approach - their data shows a clear normal distribution shape with the mean centred on almost precisely the fringe separation one would expect for the apparent rotation at their latitude. Taking multiple samples and applying statistical techniques to them is basic science - if you are rejecting that then there's little point in doing any science at all. If their data showed an equal chance of getting different results, that would be a very different thing. But it doesn't.
If we are to say that the Ring Laser Gyroscope is the same device, then the same criticism would apply.
But we aren't to say that, are we? Because we are nearly a century on, and we are talking about technology with accuracy that MGP could only have dreamed of.
It is further seen that, like the original MGP experiment, the raw results of the gyroscopes are inconsistent[2] and dwarf the results from rotation.
None of what follows after this sentence shows that in the context of RLGs. You've had to dig out an experiment using MEMS sensors, which are far, far less accurate than RLGs, which is why you won't find them in navigation equipment. The experiment is really interesting - they are using various statistical techniques to try to pull out the earth rate from the noise - but it is nothing to do with RLGs, although they do actually still manage to measure the earth rate nevertheless, which is very impressive.
The graphs you show from the Canadian test of the Honeywell device show absolutely no comparison of the noise with the signal caused by earth's rotation - it's not in there at all. They essentially ran a series of tests using their calibrated bench test system, some with the device orientated to remove the earth rotation component and some with it not, but the rotation rate itself isn't shown - they were only interested in the measured rate versus the accurately calibrated forced rate. None of your graphs show the actual measurement of the earth's rotation. They just show various noisy signal plots, which is hardly surprising given the nature of the device.
The seismology page takes it to whole new level of oddness.
Researchers have used these sensitive devices to detect patterns in the background microseismic noise, where certain features are interpreted to be caused by the earth's rotation. The feature of the background noise assumed to be an effect of the earth's rotation is called the "Earth line," and is admitted to be of unknown origin and cause.[2]
This is just utter nonsense, I'm afraid. Seismic activity presents itself as disturbances to the measured earth rate. The earth rate isn't extracted from the noise. The output from an accurate RLG is nothing like the MEMS graphs you showed - the noise is low ppm compared to the signal - measuring several degrees per hour (unless you are on the North Pole, or you orientate your RLG to the earth's rotation axis, you will measure < 15 / deg/hr) is trivial and accurate. High end, large installed RLGs like Gross-ring or GINGER are now able to resolve tiny variations in earth rate - see
https://www.sciencedirect.com/science/article/pii/S1631070514001406It is unclear whether those types of RLGs in airplane guidance systems claim to be able to detect the earth's rotation.
It's not unclear at all - they absolutely do, and they have to be corrected for it. As I've shown before, with you failing to respond (eg
https://forum.tfes.org/index.php?topic=17396.msg227601#msg227601), even older mechanical directional gyros have to be compensated for drift, either by a bench-adjusted drift nut for short range aircraft, or via a latitude scale set in the cockpit. Something like a GG1320AN, with a bias of around 0.0035 deg/hr, will absolutely drift if earth rate isn't compensated for. It's equally true of mechanical gyro systems and laser based ones (RLGs, of course, aren't actually gyros - they are angle rate sensors). Here's one about marine systems:
https://www.hydro-international.com/content/article/how-does-inertial-navigation-work)
Overall, I'm shooting for sophistry, rather than misunderstanding, but I could be wrong.