Page:Benton 1959 The Clock Problem (Clock Paradox) in Relativity.djvu/45

 equation $$p_1 dq_1 + \ldots + \pi cdt + p_1' dq_1' + \ldots + \pi' cdt' - Hd_\tau = 0 $$ obtains identically, also H = constant, and that π = mc if t does not occur explicitly. Further, the complete solution for two particles in space-time is given, and the results shown to be the same as those of general relativity. It is concluded that the curvature of space-time is not an essential.

Original article a report of the Furschungsinstitut für Physik der Stahlantriebe, Stuttgart-Flughaven.

Paper read at the Seventh International Astronautical Congress, Rome, Sept. 1956.

"The yet hypothetical quantum rockets have jet-velocities equal to the velocity of light, so that also their flight velocities may approach the optic velocity.

"From the laws of classical mechanics, there would follow that the limited human lifetime and the limited mass-ratio of the rocket would permit ranges of some tenths of light years, i.e., over a very limited space of our galaxy and to the very next fixed stars only.

"From the laws of relativistic mechanics, however, follows for those very neat optic-velocities a considerable dilatation of proper time on board of the vehicle relative to the terrestrial time, so that life of the crew and action of the rocket-motor occur slower, than would correspond to terrestrial time scale.

"From this follows that within the life span of the crew and with limited mass-ratios of the rocket, every thinkable distance in space, up to nebulae millions of light-years distant can be covered, so that, expressed in technical terms, and from the standpoint of the crew, the vehicle seems to be able to move with considerable super optic-velocity."

In French. Not examined.

A discussion of some of the relativity effects on space ships traveling near the speed of light.

Postulates a space journey of 11 years which would be the same as 1,000 years earth time. The apparent time difference is an observational phenomena on the part of the terrestrial observer.