8 papers · 1 filter
The two-body interaction with a circle in time
Sarah B. M. Bell, John P. Cullerne, Bernard M. Diaz
We complete our previous(1, 2) demonstration that there is a family of new solutions to the photon and Dirac equations using spatial and temporal circles and four-vector behaviour…
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…
QED derived from the two-body interaction (2) The derivation
Sarah B. M. Bell, John P. Cullerne, Bernard M. Diaz
We have shown in a previous paper that the Dirac bispinor can vary like a four-vector and that Quantum Electrodynamics (QED) can be reproduced with this form of behaviour.(2) We ha…
QED derived from the two-body interaction (1) Mapping to M-space
Sarah B. M. Bell, John P. Cullerne, Bernard M. Diaz
We have shown in a previous paper that the Dirac bispinor can vary like a four-vector and that Quantum Electrodynamics (QED) can be reproduced with this form of behaviour.(1) Here,…
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…