I'm well on my way to getting a PHD in Nuclear Physics. Its not quite Rocket Science, but theres a good deal of overlap with quantum mechanics/dynamics/etc.
FYI Earth isn't flat, rockets do work in space, gravity/light/inertia are really strange subjects that are just best current models and are subject to change.
The Sagnac Experiment.
Here's a video presentation: https://youtu.be/SWmlimH7laY
I'll start by saying, no one really knows what light is. Everyone including Einstein knew that Relativity is not 100% correct, there are a number of experiments that find fundamental flaws in relativity, however the degree of error is so minor, they haven't be consequential to physics applications thus far. Relativity is currently the closest model we have today, but there are some pieces that we are missing about light. Relatively doesn't account for light having momentum but no mass, no mass, but being effected by gravity, etc (relativistic mass aside). The current theory that light is a photon is to some degree wrong. The Aether theories are pretty fundamentally incorrect though. The vast majority of them were based on the classical physics assumption that light is a wave and therefore requires some medium, like sound to travel. Classifying light as a photon states that its some sort of "mass-less particle that exhibits some wave behavior" which rejects the need for a medium. Though I theorize that light does have some amount of mass, just to an inconsequentially small degree.
Neutrinos which share a pretty high rate of similarity with light (minus the wave behavior) were discovered in the 1990s, so the laws of physics are still changing to minor degrees. Both are quazi energy emissions from the sun's fusion reactions. Neutrinos approach the speed of light, but have mass so likely don't exceed the speed of light (though thats been a subject of study for a while).
My point being, there are a ton of topics that haven't quite been proven yet, but that doesn't mean our existing understanding is wrong. Hell, look at magnetic monopoles, there is absolutely no reason that they don't exist, but no one has yet proven their existence. Throw some irregular electric fields into the equation, and that might correct the 0.000000000000000000000000000001% error that exists in current mathematical projections, and solve all of the experiments that had strange conclusions.
I've heard Sagnac's theory mentioned before when talking about orbits/satellites, but I had never looked in depth about it. It has applications within relativity that it wasn't trying to create. From what I read into it (on both sides of the argument pro and against) it looks like a frame of reference experiment. I found that this page pretty well described the experiment and what can be drawn from it, without bias. http://www.mathpages.com/rr/s2-07/2-07.htm
Thank you for the link. A layman might even understand it if he went through it slowly enough.