Mathematical Physics

    

The Quaternionic Bra-Ket Combination

Authors: J. A. J. van Leunen

Hilbert spaces are relevant because these extensions of vector spaces are capable of archiving sets of numbers in a structured way such that these data can be retrieved in a well-organized way. Currently, textbooks about Hilbert spaces do not contain a treatise of Paul Dirac’s bra-ket combination for quaternionic numbers. This paper shows that the bra-ket combination gives Hilbert spaces a range of unexpected capabilities. The fact that the quaternionic version of the bra-ket combination is practically unknown has a deep impact on the comprehension of the fundamentals of physical reality.

Comments: 84 Pages. This is part of the Hilbert Book Model Project

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Submission history

[v1] 2022-05-19 22:07:32

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