Page:Benton 1959 The Clock Problem (Clock Paradox) in Relativity.djvu/27

 The author assumes a fixed either and the Fitzgerald-Lorenz contraction; restricted relativity; that the elastic constants are infinite (eliminating the effects of centrifugal force) and Euclidean space.

The author concludes that it seems correct to say that the general theory of relativity of Einstein does predict asymmetrical aging but that the part of the theory enlisted in proving asymmetrical aging has not been proven (nor disproven) by experiment.

In an illustration, the traveler T is stationed on the earth, e, and a star, s, a distance 4c^2/g away begins to send out light pulses. All three are at rest. At the time shown the first pulse from the star has arrived at e and there are 16 units of pulses in the space between e and s. At this time the traveler begins to accelerate. This diagram considers the question from the point of view of T who will consider himself to be kept stationary in a gravitational field by his rocket motor, while e and s are falling freely in this field.

An answer is given to Professor Dingle's argument that if a spaceship were to travel away from the Earth at a velocity comparable with that of light and subsequently return, then the duration of the two-way journey, as measured by a clock in the spaceship would be substantially the same as that measured by a clock on the Earth.

It is shown in the paper that the correct statement corresponding to the postulate of general relativity is that all coordinate systems