Does Sagnac Effect disprove Special Relativity?

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Does Sagnac Effect disprove Special Relativity?
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Wouldn't it just hinge on whether a compression wave is formed or if light behaves as a particle?

Hesiod
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If conducted in air, that becomes the medium, so if the light behaves like a wave, both beams will arrive simultaneously. If, like a particle, the photon would share the velocity of the disc and arrive at different times in a vacuum.

Hesiod
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Hi Roger. I quickly scanned through youtube and found a quick animated illustration that demonstrates the Sagnac effect. I was surprised how similar it seems to the original MMX with the interferometer. For quite some time I had a much different notion of a given experiment that demonstrates the Sagnac effect, with a small spinning platform with a laser (and mirror) at one side, with another mirror at the other side to deflect the original laser beam. And that the mirror doesn't reflect the laser's trajectory to the other side, as it might seem it would. This is possibly another experiment with the Sagnac effect, or a different experiment completely. Have you possibly heard of the experiment I just described? Also, is there a way you could explain in detail, what is observed of the experiment in this video, and how it does or doesn't disprove Special Relativity? Thanks!

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