Page:Benton 1959 The Clock Problem (Clock Paradox) in Relativity.djvu/29



Includes a brief discussion of the simultaneity of events and the constancy of distance in connection with relativity.

Claims that a journey covering an exact number of hours will show that a moving clock has slowed down.

The customary form of physical space as the direct product of space-time and isotopic spin-space can be replaced by a certain fusion of these two spaces into one space if one widens the group from the Lorentz group to the conformal space-time group which endows particles with an intrinsic finite size.

Said to be the world's first interplanetary space clock, the timepiece, designated the Hamilton Space Clock, was created to demonstrate the difference between earth time and the time on other planets. The clock simultaneously records the hours, date, month, and year on Earth and the planet Mars.

It is suggested that since the paradox is resolved by the general theory, an experiment (involving unstable charged particles) equivalent to the clock problem would provide a test of general relativity.

Continuing the investigations of a previous paper, the problem of the change in setting of clocks transported over the same measured distance at different times when the velocity of the observing platform is different is investigated. The result is related to stellar aberration. The behavior of separated and reunited clocks is investigated, and the "clock paradox" which arises from the supposition that only relative velocities are of significance is resolved by allowing for their motion relative to the ether.