REIMAGINING COMPLEX NUMBERS

Christopher O'Neill

REIMAGINING COMPLEX NUMBERS

Christopher O'Neill

School of Computing

Research output: Contribution to journal › Article › peer-review

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Abstract

This work starts by examining the square root problem, i.e. (–1)1/2. By looking for practical solutions to this problem, it arrives at a new mathematical space, where imaginary numbers can be reinterpreted free from their algebraic context and therefore from an entirely different perspective. This new mathematical space is based on XNOR logic gates and deals strictly with operators. Further permutations of this method lead to a total of 16-dimensional gate operator spaces, which may have some application to Quantum Mechanics.

Original language	English
Pages (from-to)	5201-5219
Number of pages	19
Journal	Canadian Journal of Pure & Applied Sciences
Volume	15
Issue number	2
Early online date	2 Jun 2021
Publication status	Published (in print/issue) - 2 Jun 2021

Keywords

Quaternions
octonions
sedenions
complex plane
mathematical operators
quadratic equation
logic Gate alegrab

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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Cite this

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KW - Quaternions

KW - octonions

KW - sedenions

KW - complex plane

KW - mathematical operators

KW - quadratic equation

KW - logic Gate alegrab

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REIMAGINING COMPLEX NUMBERS

Abstract

Keywords

UN SDGs

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