Exact rotational space-time transformations, Davies-Jennison experiments and limiting Lorentz-Poincaré invariance
Department of Physics, University of Massachusetts Dartmouth, 02747, North Dartmouth, MA, USA
2366 Department of Postsecondary Teaching and Learning, University of Minnesota, 55414, Minneapolis, MN, USA
Accepted: 6 June 2013
Published online: 16 July 2013
Jennison deduced from the rotational experiments that a rotating radius rr measured by the rotating observer is contracted by , compared with the radius r measured in an inertial frame. This conclusion differs from the result based on Lorentz transformations. Since rotational frames are not equivalent to inertial frames, we analyze the rotational experiments by using the exact rotational space-time transformations rather than the Lorentz transformations. We derive exact rotational transformations on the basis of the principle of limiting Lorentz-Poincaré invariance. The exact rotational transformations form a pseudo-group rather than the usual Lie group. They support Jennison’s contraction of a rotating radius and are consistent with two Davies-Jennison experiments. We also suggest new experimental tests for the exact rotational transformations.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013