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Hypercomplex Dirac Equation and Electrodynamics of Non-Conserved Charges

2006/07/06 by K. S. Karplyuk, Karplyuk, K. S., O. O. Zhmudskyy +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0607045

10 pages

arxiv created 2006/07/11 · arxiv updated 2009/12/01

Abstract

It is shown that the hypercomplex Dirac equation describes the system of connected fields: 4-scalar, 4-pseudoscalar, 4-vector, 4-pseudo-vector and antisymmetric 4-tensor second rank field. If mass is assumed to be zero this system splits into two subsystems. Equations containing tensor, scalar and pseudoscalar fields coincide with Maxwell equations complemented by scalar and pseudoscalar fields. This system describes the electrodynamics of non-conserved charges. The scalar and pseudoscalar fields are generated only by the non-conserved charges - electric and hypothetical magnetic. The influence of these fields on the charged particles is very unusual - it causes a change of their rest mass. This allows us to give a new look at the Wigner paradox and mechanism of mass renormalization.

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