Page:Benton 1959 The Clock Problem (Clock Paradox) in Relativity.djvu/38

 This article has three sections. In the first, the "paradox" is stated and resolved, using only inertial coordinate systems; in the second, a treatment of accelerated coordinate systems based on the principles of special relativity is given; and in the third, the possibility of practical implications for space travel is examined.

Discusses large-scale distances: time and distance and special relativity.

The equations of the geodesics of expanding space-time, which pass through the origin, are worked out in terms of "cosmic" time and a distance-variable which corresponds with that used in observational astronomy. It is shown that certain moving observers can synchronise their clocks so that the clocks read cosmic time. It is also shown that particles possessing the properties of the "statistical" particles of Milne's kinematic theory can be found by the method of general relativity. The law for the acceleration of these particles differs from Milne's and the discrepancy is probably due to the new method for calculating acceleration proposed by Milne. Reasons are given for supposing that Milne's interpretation of the cosmical constant and the gravitational constant is not valid.

In Italian. Not examined.

Various definitions of uniform acceleration are possible in relativity theory. Two of these are considered with particular reference to their physical realizations.

Describes an experimental method to determine the lifetime of the p-meson which consists of measuring the attenuation, beyond geometrical losses, of a beam of mesons as a function of the number of cyclotron orbits it has traversed.