A New Relativity. Paper I. Fundamental Principles and Transformations Between Accelerated Systems

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Abstract
A new approach to the relativity theory, suggested by the theory of E. A. Milne, is developed. This approach, like Milne's, dispenses with the concepts of measuring rods of undefinable rigidity and clocks of undefinable periodicity. A new category of equivalent relatively accelerated reference systems with Euclidean geometry and constant light-velocity is described, and the space-time transformation for such systems is developed. It is shown that in an effectively empty world Einstein's assumption of an invarient physical interval and an absolute four-dimensional space-time is in contradiction with the underlying principle of the relativity of motion, and therefore either the one or the other must be abandoned.

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