Problem

To show that the word “relativity” in the special theory of relativity does not have its o...

To show that the word “relativity” in the special theory of relativity does not have its ordinary meaning, consider a disk rotating in an inertial frame about an axis fixed at its center and perpendicular to the disk. Mounted on the edge of the disk are mirrors arranged so that light emitted tangentially from a point on the disk is reflected tangentially around the disk back to the starting location. Compare the behavior of light emitted in the direction of rotation (assumed clockwise) to the behavior of light emitted in the opposite direction. Now consider a pulse of light emitted by a source on the axis and used to synchronize the clocks on the perimeter. Since clocks are commonly synchronized by light and distance in the special theory (elapsed time = distance/c), what does this say about the absolute sense of rotation in the special theory?

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Solutions For Problems in Chapter 7