Theoretical Physics

Electrodynamics in Uniformly Rotating Frames the Central Observer Point of View

Download PDF (375.3 KB) PP. 177 - 187 Pub. Date: December 1, 2017

DOI: 10.22606/tp.2017.24004

Author(s)

A. Sfarti^*
CS Dept, 387 Soda Hall, UC Berkeley

Abstract

In the current paper we present a generalization of the transforms of the electromagnetic field from the frame co-moving with a rotating observer aligned with the axis of rotation into an inertial frame of reference. The solution is of great interest for real time applications, because earthbound laboratories are inertial only in approximation. We conclude by deriving the general form of the relativistic Doppler effect and of the relativistic aberration formulas for the case of uniformly rotating frames.

Keywords

Uniform rotation motion, general coordinate transformations, accelerated particles, planar electromagnetic waves, relativistic Doppler effect, relativistic aberration

References

[1] Moller, C. “The Theory of Relativity,” Oxford Press (1960).

[2] Thomas, L. H. "Motion of the spinning electron," Nature. 117 (1926).

[3] Ben-Menahem, A. "Wigner's rotation revisited," Am. J. Phys. 53 (1985).

[4] Ben-Menahem, S. "The Thomas precession and velocityspace curvature," J. Math. Phys. 27 (1986).

[5] Kroemer, H. "The Thomas precession factor in spin-orbit interaction" Am J. Physics. 72 (2004).

[6] Rhodes, J. A, “Semon, M. D. "Relativistic velocity space, Wigner rotation and Thomas precession,” Am. J. Phys. 72, (2005).

[7] Malykin, G. B. "Thomas precession: correct and incorrect solutions," Phys. Usp. 49 (8): (2006).

[8] Krivoruchenko, M. I. "Rotation of the swing plane of Foucault's pendulum and Thomas spin preession: Two faces of one coin," Phys. Usp., 52. 8 (2009)

[9] Sfarti, A. “Hyperbolic Motion Treatment for Bell's Spaceship Experiment,” Fizika A, 18, 2 (2009)

[10] Sfarti, A. “Coordinate Time Hyperbolic Motion for Bell's Spaceship Experiment,” Fizika A, 19, 3 (2010)

[11] Sfarti, A. “Relativity solution for “Twin paradox”: a comprehensive solution,” IJP, 86, 10 (2012)

[12] Sfarti, A. “Generalization of Coordinate Transformations between Accelerated and Inertial Frames – General Formulas of Thomas Precession,” JAPSI, 8, 2, (2017)

[13] C. Corda, “The M?ssbauer rotor experiment and the general theory of relativity,” Ann. Phys. 368, 258 (2016).