 2073 Michael Ibison
 Electromagnetic Foundation of Dirac Theory
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Aug 9, 20

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Abstract. The dynamics of classical charges subject to a particular variant of electromagnetic direct particle interaction are shown to derive from a homogeneous differential equation in a Clifford Multivector. Under appropriate conditions the multivector can be 'factorized' to give a Dirac Equation whose bispinor operands are eigenvectors of the multivector, thereby giving an electromagnetic basis for the Dirac Equation.
The Clifford multivector is an ensemble of vector and bivector 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 lightspeed motion of the charge generates nonlinear constraints on these fields that preclude their superposition in the traditional sense. Representation invariance (e.g. Fourierspace versus real space) inherent in a linear differential system survives unaffected however. These conditions are shown to be responsible for the otherwise enigmatic eigenvalue selection / wavefunction collapse behavior characteristic of Dirac bispinors.
Though timesymmetric adjunct fields are intrinsic to the direct action paradigm, their elimination has been the main focus of works in that field  notably by Wheeler and Feynman  in an attempt to make direct particle interaction conform to Maxwell field theory. By contrast, in this work timesymmetric fields are the foundation of Dirac bispinors. Accidentally we also find a novel explanation of the emergence of exclusively retarded radiation from the direct action paradigm that makes no appeal to special boundary conditions.
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