Page:Benton 1959 The Clock Problem (Clock Paradox) in Relativity.djvu/40



A verification of Fizeau's experiment in comparing the speed of light traveling along with a current of water with the speed of an identical beam traveling against the same current of water.

The problem is treated purely by general relativity by considering a particular example in which the two observers are attached to two test-particles moving freely in the field of gravitating mass; one of these makes complete revolutions in a circular orbit while the other moves radially outwards and inwards. The time-interval between two successive encounters is shorter in the reckoning of the former than in that of the latter. The difference is found to agree qualitatively with a naive application of special relativity.

A repeat of the Michelson-Morley experiment, under a variety of conditions, with distinctly improved apparatus.

From the viewpoint of kinematical relativity, there are no clock paradoxes. References to previous discussion are given. The ideas developed are applied briefly to photons.

Offers a solution to the clock paradox.

Appendix B. Satellite problems.

The idea which suggests itself is an attempt at using atomic clocks to verify the relativistic formula for the rate of clocks placed at different potentials in a gravitational field.