| Michelson-Morley experiment found no changes in speed of light at all. Nothing. Zero fluctuations. These fluctuations of speed of light were found much later, by LIGO/VIRGO and NANOGrav. The flaw of Michelson-Morley experiment is that it was performed in isolated environment, but tried to measure an external effect. Imagine that we want to measure atmospheric circulation in the same way: by measuring speed of wind in an closely isolated and insulated room: it's impossible. However, Michelson-Morley experiment is one of corner stones for theory of Relativity. > This incongruous result puzzled the physicists of the world until 1905 when Einstein published his theory of relativity. Viewed in the light of Einstein's revolutionary work, the null results of the Michelson-Morley experiment were not only predictable, but provided experimental confirmation of Einstein's theory. |
> Michelson-Morley experiment found no changes in speed of light at all. Nothing. Zero fluctuations.
The MM experiment aimed to observe a predicted effect of the theory of luminiferous aether, which would have enabled measuring the Earth's speed relative to a canonical reference frame (the aether). It was sufficiently precise to observe that predicted effect but did not observe it, which provided strong evidence that the aether theory was wrong.
Finding that any variation in the propagation of light was too small to be detected by their instruments (and too small to be consistent with aether theory) is not the same as finding that it's exactly zero.
> These fluctuations of speed of light were found much later, by LIGO/VIRGO and NANOGrav.
It's not the same fluctuations though: these experiments found much smaller fluctuations than MM looked for, from a different effect. They're not even (understood to be) fluctuations in c, but in the shape of space.
> The flaw of Michelson-Morley experiment is that it was performed in isolated environment, but tried to measure an external effect.
The later interferometer experiments (LIGO and VIRGO) are conceptually very similar to the original MM experiment. The environment is not fundamentally different, and on the contrary LIGO and VIRGO are better isolated (against ordinary vibrations: we don't know any way to isolate an experiment from gravitational waves). They're just much larger and more precise, which is why they can observe the much smaller effect of gravitational waves.
> However, Michelson-Morley experiment is one of corner stones for theory of Relativity.
Yes, but the effects observed by LIGO and VIRGO are predicted by general relativity, which is what inspired scientists to carry out those experiments. As far as I know, they are consistent with GR to the extent that LIGO and VIRGO have measured them.