Rotational Light Clocks and Visualization of Spins

Rotational light clocks are invented, and their behaviors are investigated. A light clock is abstracted as a system composed of two distinct points that represent the top and bottom mirrors. For a two-dimensional rotational light clock, the top and bottom mirrorsrotate around a common point that is on the straight line connecting the two points (representing the two mirrors) but is not on the line segment with the two points as the endpoints of the line segment.For a three-dimensional rotational light clock, it is always perpendicular to a plane and its bottom mirror conducts a circular motion on the plane. The three-dimensionalrotational light clock is used to do visualization of the spin of particles. It is possible for the three-dimensional rotational light clock to cause no time dilation if the angular velocity takes some quantized values.