An electromagnetic perpetuum mobile?
{\O}yvind Gr{\o}n, Sigurd Kirkevold N{\ae}ss
TL;DR
This paper investigates the paradox of a radiating charge in curved spacetime, explaining how modifications to the equation of motion resolve the apparent violation of energy conservation, thus addressing the electromagnetic perpetuum mobile paradox.
Contribution
It provides a detailed explanation of the physics behind the modified equations of motion for radiating charges in curved spacetime and applies this to resolve the perpetuum mobile paradox.
Findings
Modified equations of motion prevent energy violation
Radiating charges in curved spacetime do not produce perpetual motion
The energy paradox is resolved through spacetime curvature effects
Abstract
A charge moving freely in orbit around the Earth radiates according to Larmor's formula. If the path is closed, it would constitute a perpetuum mobile. The solution to this energy paradox is found in an article by C. M. DeWitt and B. DeWitt from 1964. The main point is that the equation of motion of a radiating charge is modified in curved spacetime. In the present article we explain the physics behind this modification, and use the generalized equation to solve the perpetuum mobile paradox.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Relativity and Gravitational Theory · Experimental and Theoretical Physics Studies