Relativistic Rotation: A Comparison of Theories

Details Relativistic Rotation: A Comparison of Theories Relativistic Rotation: A Comparison of Theories

2006-04-27

arxiv.org/abs/gr-qc/0604118v2

Found.Phys.37:198-252,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

45 pages including 11 figures and one table. Revision includes suggestions by reviewers

Scientific paper

10.1007/s10701-006-9099-z

Alternative theories of relativistic rotation considered viable as of 2004 are compared in the light of experiments reported in 2005. En route, the contentious issue of simultaneity choice in rotation is resolved by showing that only one simultaneity choice, the one possessing continuous time, gives rise, via the general relativistic equation of motion, to the correct Newtonian limit Coriolis acceleration. In addition, the widely dispersed argument purporting Lorentz contraction in rotation and the concomitant curved surface of a rotating disk is analyzed and argued to be lacking for more than one reason. It is posited that not by theoretical arguments, but only via experiment can we know whether such effect exists in rotation or not. The Coriolis/simultaneity correlation, and the results of the 2005 experiments, support the Selleri theory as being closest to the truth, though it is incomplete in a more general applicability sense, because it does not provide a global metric. Two alternatives, a modified Klauber approach and a Selleri-Klauber hybrid, are presented which are consistent with recent experiment and have a global metric, thereby making them applicable to rotation problems of all types.

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