- 20-100 Michael Ibison
- Electromagnetic Foundation of Dirac Theory
Nov 25, 20
(auto. generated pdf),
of related papers
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.