15 citations · 89 across the 15 of their papers we have counts for
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The nilpotent Dirac equation and its applications in particle physics
Peter Rowlands
The nilpotent Dirac formalism has been shown, in previous publications, to generate new physical explanations for aspects of particle physics, with the additional possibility of ca…
QED using the nilpotent formalism
Peter Rowlands, J. P. Cullerne
The nilpotent formalism for the Dirac equation, outlined in previous papers,is applied to QED. It is shown that what is usually described as 'renormalization' is effectively a stat…
The Dirac algebra and grand unification
Peter Rowlands, J. P. Cullerne
A representation of the Dirac algebra, derived from first principles, can be related to the combinations of unit charges which determine particle structures. The algebraic structur…
Applications of the nilpotent Dirac state vector
Peter Rowlands, J. P. Cullerne
The nilpotent version of the Dirac equation is applied to the baryon wavefunction, the strong interaction potential, electroweak mixing, and Dirac and Klein-Gordon propagators. The…
The Dirac algebra and its physical interpretation
Peter Rowlands, John P. Cullerne
A version of the Dirac equation is derived from first principles using a combination of quaternions and multivariate 4-vectors. The nilpotent form of the operators used allows us t…