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The Magnetic Force as a Kinematical Consequence of the Thomas Precession

2011/08/22 by David C. Lush, Lush, David C. · 3 citations
Physics and Astronomy · #Acceleration #Acoustics #Classical Physics (physics.class-ph) #Classical mechanics #Computer science #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Fictitious force #Frame (networking) #Frame of reference #Inertial frame of reference #Observer (physics) #Physics #Point particle #Precession #Quantum and Classical Electrodynamics #Quantum mechanics #Reference frame #Relativity and Gravitational Theory #Rest (music) #Rest frame #Test particle #physics.class-ph

paper · pdf · doi:10.48550/arxiv.1108.4343

published in arXiv (Cornell University) (Cornell University) · 16 pages, no figures. Section V of version 8 (only) was based on an error and was withdrawn in version 9. This version removes the Errata Section V of version 9, as it is not needed absent the erroneous section

openalex publication_date 2011/08/22 · arxiv created 2019/04/19 · arxiv updated 2019/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The requirements imposed by relativistic covariance on the physical description of two interacting classical charged particles are investigated. Because rotational pseudo-forces cannot be caused by Thomas precession, kinematical considerations demand the presence of compensatory forces when Thomas precession of an inertial reference frame is observed. The magnetic force on a moving charge is apparently one such force, where Thomas precession of the laboratory frame is seen by an observer co-moving with the charge. Other forces corresponding to the Euler and centrifugal rotational pseudo-forces are also predicted by this line of reasoning. The plausibility that an anti-centrifugal force of the Thomas precession may account for the binding of quarks into nucleons is investigated. The similarity of the magnetic force on a relativistically-moving charge in the radiative magnetic field of a nearby Coulomb-accelerating charge to the predicted anti-centrifugal force of the Thomas precession is shown.

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