A new formulation of classical electrodynamics
Abstract
A mathematical formulation of classical electrodynamics is presented. In the theory, the nature of Minkowski space, Lorentz transformations, and Maxwell's equations is reduced to that of biquaternions and their functions, yielding the theory of functions of a biquaternion variable. Maxwell's vacuum equations become equivalent to the 'regularity condition' for functions of a 'real biquaternion' variable in the sense that CauchyRiemann equations are the regularity condition for functions of a complex variable. Several applications of the theory are given.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 March 1976
 DOI:
 10.1007/BF02726749
 Bibcode:
 1976NCimB..32..138I
 Keywords:

 Classical Mechanics;
 Complex Variables;
 Electrodynamics;
 Maxwell Equation;
 Minkowski Space;
 Quaternions;
 CauchyRiemann Equations;
 Charged Particles;
 Electromagnetic Fields;
 Linear Transformations;
 Lorentz Transformations;
 Metric Space;
 Polynomials;
 Potential Fields;
 Physics (General)