N-COMPLEX ALGEBRA AND ISOTROPIC RELATIVISTIC AND ELECTRODYNAMICS EQUATIONS
2012jgq | Goryunov A.V.  // Turan-Astana University, Astana, Kazakhstan, avgor@hotbox.ru

The version of system of hypercomplex numbers called as N-complex numbers is suggested. In this framework a new concept of bicomplex numbers is introduced and algebraic component of bicomplex calculus is thoroughly developed. The elements of algebras of tricomplex and tetracomplex numbers described briefly, as development of bicomplex concepts and notation. The relationship of elements of bicomplex space with elements of the pseudoeuclidean 4-space is investigated. It is shown that all the basic isotropic (light-like) algebraic formulas of the special theory of relativity and electrodynamics can be obtained as a direct consequence of the properties of bicomplex numbers.

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