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arXiv · 0906.3781

New Developed Pattern on Number System, New Number Field and Their Applications in Physics

Yi-Fang Chang
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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+bC+cB+dA, in which the unit matrix I and three special matrices C,B,A 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 some special 2-rank, even n-rank matrices, for example, three matrices aI+bC, aI+cB, aI+dA and so on. It is a new type of hypercomplex number fields. Finally, the physical applications and possible meaning of the new number system is researched.

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Yi-Fang Chang. 2009-06-20. New Developed Pattern on Number System, New Number Field and Their Applications in Physics. https://arxiv.org/abs/0906.3781

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