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The absolute velocity that I wanted to prove experimentally is on a linear axis, measured in an inertial frame of reference. I have no doubt that an absolute velocity can be perfectly observed in rotation. The Sagnac effect can be explained by relativity even if it can also be explained by an ether drive. In rotation, accelerations cannot be avoided because the velocity vector is not constant in direction, and these accelerations are absolute.
In the Sagnac effect the interferences are visualized in the rotating frame of reference, while from what I understand from the experiment you describe, they are in the fixed frame of reference, which simplifies the analysis and is different, but still not a proof of absolute velocity for the following reasons.
First, the drum is rotating, so the light is moving in a non-inertial medium. Then, between the rotating fiber and the fixed interference detection device, the medium that the light follows accelerates at the start and decelerates at the finish, in the slack left on the ends of the optical cable. Finally, even if we ignore the accelerations, the speed of light is constant and the same for all inertial observers but only in vacuum. But in a material, it will also depend on the speed of the material. It is therefore normal to obtain a phase shift between the source of light at the entrance of the fiber, and the one that comes out and moved in a medium itself in motion.
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"Open your mind, but not like a trash bin"
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