The imaginary unit i as the temporal directional component of the complex position vector
Some interpretations of modern physics reject imaginary numbers as having physical significance. They are considered a convenient mathematical tool for calculation of phase or probability. Their presence in equations of modern physics is, however, indispensable. An examination of the definition of the square root operation shows that its definition is suggestive of time. With this information and the axioms of the complex plane, it is shown that i can be defined as the temporal directional component of the complex position vector. i and −i are here considered forward and reverse time direction numbers which are derived differently than the direction numbers of standard Euclidean vector analysis.
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Document Type: Research Article
Publication date: 18 June 2015
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