A Derivation of Three-dimensional Inertial Transformations
نویسنده
چکیده
The derivation of the transformations between inertial frames made by Mansouri and Sexl is generalised to three dimensions for an arbitrary direction of the velocity. Assuming length contraction and time dilation to have their relativistic values, a set of transformations kinematically equivalent to special relativity is obtained. The “clock hypothesis” allows the derivation to be extended to accelerated systems. A theory of inertial transformations maintaining absolute simultaneity is shown to be the only one logically consistent with accelerated movements. Algebraic properties of these transformations are discussed.
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