Imaginary in all directions: an elegant formulation of special relativity and classical electrodynamics
classification
🧮 math-ph
cond-mat.otherhep-thmath.MPphysics.ed-ph
keywords
imaginaryallowsclassicalcomplexcomplex-quaternionicdirectionselectrodynamicselegant
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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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