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A generalization of the relativistic theory of gravitation

Abstract:

Every attempt to establish a unified-field theory must start, in my opinion, from a group of transformations which is no less general than that of the continuous transformations of the four coordinates. For we should hardly be successful in looking for the subsequent enlargement of the group for a theory based on a narrower group. It is further reasonable to attempt the establishment of a unified theory by a generalization of the relativistic theory of gravitation. Such a generalization, which does not seem to have been discovered so far, is described in the following. If we speak about a unified theory we have two possible points of view, whose distinction is essential for the following:(1) That the field appear as a unified covariant entity. As an example I cite the unification of the electric and the magnetic fields by the special theory of relativity. The unification here consists in this that the entire field considered is described as a …