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

Optical measurement of a fundamental constant with the dimension of time