Imaginary in all directions: An Elegant formulation of special relativity and classical electrodynamics

2003
8 pages
Published in:
  • Eur.J.Phys. 24 (2003) 397
e-Print:

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Abstract:
A suitable parameterization of space-time in terms of one complex and three quaternionic imaginary units allows Lorentz transformations to be implemented as multiplication by complex-quaternionic numbers rather than matrices. Maxwell's equations reduce to a single equation.