Mathematical Physics

    

The Most Beautiful Form of the Dirac Equation, and Some Speculations re "123 Mystery"

Authors: Warren D. Smith

Dirac 1928's relativistic electron wave equation had involved 4×4 matrices. We show how to reformulate it using 2×2 matrices only, and also that we can get rid even of them provided we make the wavefunction be biquaternion-valued. The Majorana equation then has quaternion-valued wavefunction. We then speculate that extensions of this idea might be able to solve one or two of the oft-cited "great mysteries" of physics.

Comments: 9 Pages.

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Submission history

[v1] 2023-06-27 17:03:11

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