Page:Benton 1959 The Clock Problem (Clock Paradox) in Relativity.djvu/52

 different ideas of time of the relativity theory are solely consequences of physically unfounded transformations of the coordinates of the image, or of unjustified applications of the theory of invariants.

In German.

Translated title: Two flaws in the theory of relativity and its proof.

Discussion of the clock paradox.

The regraduation of an observer's proper-time clock is discussed, starting from the local Galilean coordinate system at each point of a Riemannian space-time. In order to show that nontrivial regraduations exist, a new interpretation of Einstein's gravitational equations is proposed, viz., that regraduations preserve the form of the equations but alter the values of the gravitational constant and the cosmical constant. No experimental evidence is adduced for these assumptions. Particular cases are worked out in detail with special references to Lemaitre expanding universes. It is shown that certain regraduations are possible which transform the cosmical constant to zero.

In German.

Translated title: General relativity theory.

Formulates simple principle enabling an observer in an arbitrary gravitational field to estimate change in wavelength for any given motions of himself and a point source of light.

A history of the evolution of concepts and principles, especially such as have provoked long controversies. Time is discussed throughout the book.