Imaginary in all directions: an elegant formulation of special relativity and classical electrodynamics

Details Imaginary in all directions: an elegant formulation of special relativity and classical electrodynamics Imaginary in all directions: an elegant formulation of special relativity and classical electrodynamics

2003-09-30

arxiv.org/abs/math-ph/0309061v1

Eur.J.Phys. 24 (2003) 397

Physics

Mathematical Physics

8 pages

Scientific paper

10.1088/0143-0807/24/4/357

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.

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