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Quaternions in mathematical physics (2): Analytical bibliography
Andre Gsponer, Jean-Pierre Hurni
This is part two of a series of four methodological papers on (bi)quaternions and their use in theoretical and mathematical physics: 1- Alphabetical bibliography, 2- Analytical bib…
Quaternions in mathematical physics (1): Alphabetical bibliography
Andre Gsponer, Jean-Pierre Hurni
This is part one of a series of four methodological papers on (bi)quaternions and their use in theoretical and mathematical physics: 1- Alphabetical bibliography, 2- Analytical bib…
Cornelius Lanczos's derivation of the usual action integral of classical electrodynamics
Andre Gsponer, Jean-Pierre Hurni
The usual action integral of classical electrodynamics is derived starting from Lanczos's electrodynamics -- a pure field theory in which charged particles are identified with sing…
Lanczos's functional theory of electrodynamics: A commentary on Lanczos's PhD dissertation
Andre Gsponer, Jean-Pierre Hurni
Lanczos's idea of classical electrodynamics as a biquaternionic field theory in which point singularities are interpreted as electrons is reevaluated. Using covariant quaternionic…
Lanczos's equation as a way out of the spin 3/2 crisis?
Andre Gsponer, Jean-Pierre Hurni
It is shown (1) that Lanczos's quaternionic formulation of Dirac's equation does not lead to a solution of the problems that plague the standard spin 3/2 theory based on the Rarita…
Comment on formulating and generalizing Dirac's, Proca's, and Maxwell's equations with biquaternions or Clifford numbers
Andre Gsponer, Jean-Pierre Hurni
Many difficulties of interpretation met by contemporary researchers attempting to recast or generalize Dirac's, Proca's, or Maxwell's theories using biquaternions or Clifford numbe…
The physical heritage of Sir W.R. Hamilton
Andre Gsponer, Jean-Pierre Hurni
150 years after the discovery of quaternions, Hamilton's conjecture that quaternions are a fundamental language for physics is reevaluated and shown to be essentially correct, prov…