Beyond Complex Numbers
Abstract
There has been always an ambiguity in division when zero is present in the denominator. So far this ambiguity has been neglected by assuming that division by zero as a non-allowed operation. In this paper, I have derived the new set of numbers by considering that a number divided by zero gives rise to "a beyond complex number". This is very similar to the way imaginary numbers are defined. It was only after considering i = sqrt(-1), we have been able to deduce all the laws for imaginary numbers. Similarly here, I have considered "a number when divided by zero gives rise to a beyond complex number". This is the introduction paper to this "beyond complex numbers" containing the algebra of it.
Cite
@article{arxiv.math/0701921,
title = {Beyond Complex Numbers},
author = {Mohd Abubakr},
journal= {arXiv preprint arXiv:math/0701921},
year = {2011}
}
Comments
14 pages; This paper is withdrawn due to errors. Check the updated version at arXiv:1101.2798