Functions and Analysis

    

Seeking the Analytic Quaternion

Authors: Colin Walker

By combining the complex analytic Cauchy-Riemann derivative with the Cayley-Dickson construction of a quaternion, possible formulations of a quaternion derivative are explored with the goal of finding an analytic quaternion derivative having conjugate symmetry. Two such analytic derivatives can be found. Although no example is presented, it is suggested that this finding may have significance in areas of quantum mechanics where quaternions are fundamental, especially regarding the enigmatic phenomenon of complementarity, where a quantum process seems to present two essential aspects.

Comments: 12 Pages.

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[v1] 2021-11-30 08:47:49

Unique-IP document downloads: 446 times

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