The authors define a quaternionic rotational Dirac equation whose spinor solutions split into rotational energy and angular momentum forms, and then derive plane-wave frequency and wave-vector expressions for particle and antiparticle.
On Quaternion and their Generalization and the History of t he eight square theorem
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A comparative study of quaternionic rotational Dirac equation and its interpretation
The authors define a quaternionic rotational Dirac equation whose spinor solutions split into rotational energy and angular momentum forms, and then derive plane-wave frequency and wave-vector expressions for particle and antiparticle.