Michael Ibison
Electromagnetic Foundation of Dirac Theory
(386K, PDF)

ABSTRACT.  The dynamics of classical charges subject to a particular variant of electro- 
magnetic direct particle interaction are shown to derive from a homogeneous differ- 
ential equation in a Clifford multivector. Under appropriate conditions the multivector 
can be factorized to give a Dirac Equation whose bi-spinor operands are eigenvectors 
of the multivector, thereby giving an electromagnetic basis for the Dirac Equation. 
The Clifford multivector is an ensemble of vector and bi-vector contributions 
from the potential and Faraday of the auxiliary ( adjunct ) fields of direct particle 
interaction, each member generated by a unique current. The presumption of light- 
speed motion of the charge generates non-linear constraints on these fields. These 
conditions are shown to be responsible for the otherwise enigmatic eigenvalue selec- 
tion / wavefunction collapse behavior characteristic of Dirac bi-spinors. 
Though time-symmetric adjunct fields are intrinsic to the direct particle action 
paradigm, their elimination has been the main focus of previous work in this field 
in order to conform with Maxwell field theory. By contrast, this work presents the 
time-symmetric fields as the foundation of Dirac bi-spinors. Even so, accidentally we 
discover a novel explanation of the emergence of exclusively retarded radiation from 
the direct action paradigm that makes no appeal to special boundary conditions.