Authors: Julian Brown
We introduce a zero-dimensional analogue of the Lagrangian density, formed from integrals of scalar product terms over null cones. We demon- strate that application of the variational principle to this zero-dimensional object yields the familiar equations of motion of fundamental fermions and bosons. The (covariant) derivatives of the conventional theory do not make an explicit appearance, being subsumed into Lorenz gauge trans- formations in which charge appears on the same footing as bosonic field intensity. Whereas the conventional lagrangian is largely agnostic as to the underlying group structure of the particle fields, our treatment finds its most natural expression in SO(2N ) GUTs, more especially because the null cone geometry upon which it is based is itself generated by the spinorial dimensions of SO(4).
Comments: 7 Pages. This is a work in progress.
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