Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-05-09
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages. Final version
Scientific paper
We discuss the physical nature of elementary singularities arising in the complexified Maxwell field extended into complex spacetime, i.e., in Lanczos-Newman electrodynamics, which may provide a possible link between elementary particle physics and general relativity theory. We show that the translation of the world-line of a bare (e.g., spinless) electric-monopole singularity into imaginary space is adding a magnetic-dimonopole component to it, so that it can be interpreted as a pseudoscalar pion-proton interaction current, consistent which both charge-independent meson theory and zero-order quantum chromodynamics. On the other hand, the interaction current of an electric-monopole intrinsic-magnetic-dipole singularity characteristic of a Dirac electron is obtained by another operation on the world-line, which however does not seem to have a simple geometric interpretation. Nevertheless, both operations can be given a covariant interpretation, which shows that the corresponding interactions necessarily arise on an equal footing, and therefore provides a connection between elementary particles and singularities in general relativity.
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