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Exact rotational space-time transformations, Davies-Jennison experiments and limiting Lorentz-Poincaré invariance

  • Jong-Ping Hsu
  • Leonardo Hsu
Regular Article

Abstract

Jennison deduced from the rotational experiments that a rotating radius rr measured by the rotating observer is contracted by \( r_{r} = r(1-\omega^{2} r^{2}/c^{2})^{1/2}\) , 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.

Keywords

Inertial Frame Lorentz Transformation Linear Acceleration Constant Angular Velocity Unstable Particle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Jong-Ping Hsu
    • 1
  • Leonardo Hsu
    • 2
  1. 1.Department of PhysicsUniversity of Massachusetts DartmouthNorth DartmouthUSA
  2. 2.Department of Postsecondary Teaching and LearningUniversity of MinnesotaMinneapolisUSA

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