• Corpus ID: 8851481

Lanczos's functional theory of electrodynamics: A commentary on Lanczos's PhD dissertation

@article{Gsponer2004LanczossFT,
  title={Lanczos's functional theory of electrodynamics: A commentary on Lanczos's PhD dissertation},
  author={Andr{\'e} Gsponer and J P Hurni},
  journal={arXiv: Mathematical Physics},
  year={2004}
}
Lanczos's idea of classical electrodynamics as a biquaternionic field theory in which point singularities are interpreted as electrons is reevaluated. Using covariant quaternionic integration techniques developed by Paul Weiss in 1941, we show that the Lagrangian suggested by Lanczos in his thesis of 1919 is equivalent to the standard Lagrangian of classical electrodynamics. On the mathematical side, Lanczos's thesis contains the correct generalizations of the Cauchy-Riemann regularity… 

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The relations of the homogeneous Maxwell's equations to the theory of functions

The thesis developed by Cornelius Lanczos in his doctoral dissertation is that electrodynamics is a pure field theory which is hyperanalytic over the algebra of biquaternions. In this theory

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