A Derivation of Three-Dimensional Inertial Transformations

Details A Derivation of Three-Dimensional Inertial Transformations A Derivation of Three-Dimensional Inertial Transformations

1997-07-02

arxiv.org/abs/gr-qc/9707004v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages (A5), Latex, one figure, to be published in Found. Phys. Lett. (1997)

Scientific paper

10.1007/BF02764104

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 lenght 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 an absolute simultaneity is shown to be the only one logically consistent with accelerated movements. Algebraic properties of these transformations are discussed. Keywords: special relativity, synchronization, one-way velocity of light, ether, clock hypothesis.

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