Some Remarks on “A Contribution to Electrodynamics” by Bernhard Riemann

Hubert Goenner ()
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Hubert Goenner: University of Göttingen, Institute for Theoretical Physics

A chapter in From Riemann to Differential Geometry and Relativity, 2017, pp 111-123 from Springer

Abstract: Abstract Around 1850, the idea originated that electromagnetic forces between moving charges in circuits are propagated with the velocity of light. After such a speculation by C. F. Gauss in 1845, B. Riemann, in 1858, suggested the inhomogeneous wave equation in 3-dimensional space for the modeling of this propagation. He found a particular solution replacing Coulomb’s potential, now called the retarded potential. His attempt failed to derive from this solution Weber’s action-at-a-distance potential. Riemann withdrew his pertinent paper before it became printed. After a description of some aspects of research by Gauss, Weber and Riemann, a likely reason for Riemann’s withdrawal is specified differing from recent suggestions by historians of mathematics.

Date: 2017
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DOI: 10.1007/978-3-319-60039-0_3

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