Abstract

The article presents a critical analysis of the Special and General Relativity Theories. Both theories are found incomplete and need a revision. The general relativity principle is currently understood as meaning that there is no preferred frame of reference and equations of motion must be Lorentz invariant. These interpretations should be modified to the form that there is no global preferred frame of reference, but there is a local preferred frame of reference given by the local gravitation field, and the equations of motion should be invariant in conformal mappings. The reason why there is a local preferred frame of reference is that the Lorentz transform does not define a valid time for a moving frame and therefore cannot give a set of frames of reference where there is no preferred local frame of reference. As light travels along geodesics of the gravitational field, this local preferred frame is given by the local gravitation field. Much of relativity theory remains after this revision, including the geometric interpretation of gravity, the equivalence principle, time and length dilation in gravitational fields and accelerating frames, time and length dilation between frames in constant relative motion if the local gravitation field is strong enough.

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