Optical measurement of a fundamental constant with the dimension of time

We consider the concept of a rotating reference frame with the axis of rotation at each point and the applicability of this concept to different areas of physics. The transformation for the transition from the resting to rotating frame is assumed to be non-Galilean. This transformation must contain a constant with dimension of time. We analyze different possibilities of experimental testing this constant in optics, as most suitable field for measurements presently, and also in general relativity and quantum mechanics