New Extension of Complex Number Field and Their Physical Meaning

Abstract

Abstract: Based on a brief review on developments of number system,a new developed pattern is proposed.The quaternion is extended to a matrix form aI+bA+cB+dC,in which the identity matrix I and three special matrices A,B,C correspond to number 1 and three units of imaginary number i,j,k,respectively.They form usually a ring,but some fields may be composed of three matrices aI+bA,aI+cB,aI+dC,and of some special 2-order,even n-order matrices.It is a new type of hypercomplex number fields.Finally,the possible physical meaning of the new number system is researched.

Key words: number system, matrix, complex number, ring, field, physical meaning

ZHANG Yi-Fang. New Extension of Complex Number Field and Their Physical Meaning[J]. journal6, 2008, 29(5): 45-48.

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