Page:Benton 1959 The Clock Problem (Clock Paradox) in Relativity.djvu/8

 observable by the stay-at-home brother as by the traveling brother. "The well-known variable stars constitute such a clock."

It is not claimed that flat-space theory is false, but that in practice it would be an inconvenient method of description that can hardly be identified with that actually employed in astronomy and physics.

A discussion of time measurement.

Even if ideas of measurement did not exist, a great deal of the simple mechanical and electromagnetic structure of the physical world could be understood. To see how this can be so, the orthodox ideas of the relationship of mathematics to physics are inadequate. In this paper, a development of this fundamental nonmetrical physics is made to depend on a different view of this relationship.

In French.

Translated title: Remarks on the slowing down of time by the effect of a gravitational field.

In French.

Translated title: On the structure of space-time and the physical notion of time in a static gravitational field.

The space-time interval between neighboring events for an observer moving with a particle is expressed in terms of the coordinates of an observer at rest relative to the center of spherical symmetry of a gravitational field. Assuming Newtonian acceleration, and postulating the equality of inertial and gravitational mass, it is shown that the methods of special relativity indicate a metric of the Schwarzschild form.