That experiment is performed every time you check Google Maps.

Can you give a basic explanation of the technical details?

No, but amusingly there are a bunch of papers online claiming to have done the experiment and found luminiferous aether.

Ha, I knew it! This is my qualitative thinking. Each atom of electromagnetic matter has a density of aether infused into it, and interferences within and especially between atoms produce agitation in the aether, making its motions effectively random at largish mass, so quantum decoherence correlates to some extent with aether decoherence, one of the reasons why aether is challenging to detect on Earth.

Clocks run faster at higher Earth altitude because less density in the atmosphere corresponds to less aether density all else being equal and less compression in mass' rates of change. Clocks run ever so slightly slower at faster speed in a direction parallel to Earth's surface because a faint, macroscopic aether wind compresses density within the apparatus while flowing around and through it. Clocks run slower in space because much less particle interference allows the aether to be on average more dense and integrated. All kinds of experiments with matter can be designed to test these hypotheses if the basic principle is verified, and perhaps it has been!

I prefer relativity. It makes more sense.

Maybe aether has some connection to dark matter/energy and quantum coherence.

Particles don't need a medium, waves do. Do the math! Maybe when light travels in vacuum it does so in particle form (no aether) and once it enters a medium (air/water/glass/plastic/any transparent medium) it changes to waves (re wave-particle duality).

:chin:

Each atom of electromagnetic matter has a density of aether infused into it, and interferences within and especially between atoms produce agitation in the aether, making its motions effectively random at largish mass, so quantum decoherence correlates to some extent with aether decoherence, one of the reasons why aether is challenging to detect on Earth. — Enrique

The Michelson-Morley experiments would show the presence of the aether if the aether was a separate substance from the massive object. What quantum physics demonstrates to us, is that the massive particle, and the wave substance are one and the same. This means that the aether and the object are not separable as hypothesized in the experiment, rendering the experiment useless.

What is not understood, is what constitutes "mass".

Does the label matter? Aether or space or extent or even universal container?
If QFT is correct then particles/waves are just excitations within a spacial extent.
In that sense, a splash of water can 'separate' from a concentration of water only, 'within the universe.'
Can anything 'splash' outside of the universe? I think the answer is no.
This is probably just my limited understanding of physics, expressing itself.
An example of me trying to understand quantum field theory using a classical understanding of how water acts.
I thought I might offer it up anyway, even if merely as a sacrifice towards those who might enjoy shooting lots of holes in it using their better physics knowledge.

But what if electromagnetic matter is just a denser portion of the aether field, not a separate substance? Electromagnetism might be like a relatively localized bulge of dense excitation in a more nonlocally active, ''aether'' substrate. In the context of classical physics, electromagnetic centers of mass (energy density) could be difficult to differentiate from aether if concentrated enough, as in an organism, or relatively stationary enough, as on Earth. But whenever atoms travel rapidly through space, aether may be associated with either resistive squishing, increasing energy density as in the case of a clock moving horizontally and a decelerating electric current, or diffusive spreading, decreasing energy density as in the case of an accelerating electric current, and this can't be easily distinguished from relativistic effects.

Atoms probably arise from the influence of much more dense nuclear fields on a singular electromagnetic field, the electron sea model, so the same principle of field relativity applies with known matter.

And maybe the Michelson-Morley experiment works with satellites in space! According to Banno some papers claim so though I haven't browsed them yet. Perhaps that was a joke.