Suppose one constructs a thought experiment similar to the famous light beam bouncing around a train car. In this experiment a laser and mirror are attached to the surface of a rotating disc such that the beam is sent through the center of the disc. From my understanding of the train experiment, to an observer on the disc the light would appear to pass through the center of the disc. But to an observer outside of the disc the light would have to move to hit the appropriate mirrors and would appear to avoid the center of the disc. Is this a reasonable understanding? Or do the reference frames vary by radius from the center of the disc such that on the edge of the disc the beam would appear to move through the center but as one approached the center the beam would appear to avoid it?