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 mirrors rotate around a common point that is not between the two mirrors. For a three-dimensional rotational light clock, it is always perpendicular to two planes on which the two mirrors conduct circular motions. The three-dimensional rotational 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.