Spacetime vector analysis
Abstract
Ordinary Gibbs-Heaviside vector algebra is complexified to apply to spacetime. The resulting algebra is isomorphic to both the Pauli algebra, and to the algebra of complex quaternions. Each inertial system is distinguished by a rest frame of real vectors. The rudiments of a spacetime vector analysis are given.
- Publication:
-
Physics Letters A
- Pub Date:
- July 1981
- DOI:
- 10.1016/0375-9601(81)90586-7
- Bibcode:
- 1981PhLA...84...45S
- Keywords:
-
- Algebra;
- Complex Variables;
- Space-Time Functions;
- Vector Analysis;
- Dirac Equation;
- Maxwell Equation;
- Orthonormal Functions;
- Physics (General)