2017/02/07 by Waldyr A. Rodrigues, Waldyr A. Rodrigues Jr., Rodrigues, Waldyr A. +3
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1702.02024
41 pages, 5 figures
arxiv created 2017/02/07 · openalex publication_date 2017/02/07 · arxiv updated 2017/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The determination of the electromagnetic field generated by a charge in hyperbolic motion is a classical problem for which the majority view is that the Liénard-Wiechert solution which implies that the charge radiates) is the correct one. However we analyze in this paper a less known solution due to Turakulov that differs from the Liénard-Wiechert one and which according to him does not radiate. We prove his conclusion to be wrong. We analyze the implications of both solutions concerning the validity of the Equivalence Principle. We analyze also two other issues related to hyperbolic motion, the so-called Bell's "paradox" which is as yet source of misunderstandings and the Unruh effect, which according to its standard derivation in the majority of the texts, is a correct prediction of quantum field theory. We recall that the standard derivation of the Unruh effect does not resist any tentative of any rigorous mathematical investigation, in particular the one based in the algebraic approach to field theory which we also recall. These results make us to align with some researchers that also conclude that the Unruh effect does not exist.