New Developed Pattern on Number System, New Number Field and Their Applications in Physics
General Mathematics
2009-06-23 v1
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.
Cite
@article{arxiv.0906.3781,
title = {New Developed Pattern on Number System, New Number Field and Their Applications in Physics},
author = {Yi-Fang Chang},
journal= {arXiv preprint arXiv:0906.3781},
year = {2009}
}
Comments
8 pages