Explaining Sagnac Experiment: Einstein & Constant Velocity of Light

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The discussion centers on the Sagnac experiment and its implications for Einstein's postulate of the constant velocity of light. Participants express frustration over the lack of clear explanations available online regarding this phenomenon. The Sagnac effect is highlighted as a point of contention between proponents of relativity and advocates of aether theories. A specific discussion titled "Reflections on Relativity/The Sagnac Effect" is noted for not dismissing relativity outright. Overall, the conversation seeks to reconcile these differing viewpoints within the framework of established physics.
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Is there anyone here that can explain this phenomena using Einsteins postulat that the velocity of light is constant?
I haven't found any explanation to the phenomena on the Internet.
 
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The Sagnac experiment appears to be a favorite case among the CON-relativity and PRO-aether folks (the two groups are not entirely overlapping). The following is the best discussion of it I found that doesn't conclude with relativity-is-wrong. I don't know who wrote it.

reflections on relativity/the sagnac effect, by mr./ms. ?
 

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