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Many different mathematical languages have been invented to describe theideas of Einstein's special relativity. One of the most powerful languages isthe Minkowski space-time algebra of D. Hestenes. We discuss the ideas ofspecial relativity in a complex 4-dimensional algebra of observables, which isalgebraically isomorphic to the even subalgebra of Hestenes' space-timealgebra.

Special relativity in complex vector algebra