Page:Benton 1959 The Clock Problem (Clock Paradox) in Relativity.djvu/44

 F. S. Crawford (See Item 45) states that the first quantitative check of the assumption that the time dilation of special relativity holds for uniform motion is contained in the combined experiments of Rossi, Hilberry and Hoag; Rasetti; and Blackett (See also Items 184 and 14).

The behavior of clocks during travel in the curved space-time of the general theory of relativity is discussed, and effects observable in journeys in the solar system or on earth satellites are examined.

In German.

Translated title: The Einstein theory of relativity and the basic principles of mechanics.

Includes mention of constancy of the expansion of light in all moving systems; the Einstein formula for speeds; and relativity of time.

A definition of spatial distance is given, which, it is claimed, corresponds to that determined by the use of rigid measuring rods. The formula derived for spatial distance corresponds with that given in the author's previous paper and with that derived from Whittaker's definition of spatial distance.

Chapter V. Time, public and private.

Postulating Euclidean space-time and the energy of a particle $$E=c \sqrt{(\Pi \pi^2 + P_1 p_1^2 +  P_2  p_2^2 + P_3  p_3^2)}$$, where π, p1, p2, p3 are momenta, conjugate to displacement cdt, dq1, dq2, dq3, and the coefficients Π, P1, P2, P3 are functions of the coordinates and include the effect of a gravitational field, the case is discussed of two particles, related by the equation $$E + E' = H$$. It is shown that an