Mathematics – Mathematical Physics
Scientific paper
Jun 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aipc..433..483t&link_type=abstract
Workshop on observing giant cosmic ray air showers from >1020 eV particles from space. AIP Conference Proceedings, Volume 433, p
Mathematics
Mathematical Physics
Cosmic Rays, Neutron Stars, Classical Electromagnetism, Maxwell Equations
Scientific paper
Understanding physical mechanisms by which Nature succeeds in bestowing `macroscopic' amounts of energy on single `microscopic' particles remains one of the greatest challenges for both, astrophysicists seeking to understand the functioning of cosmic objects, and accelerator designers inventing new conjectures for more powerful machines. The first and introductory chapter of this contribution is a short retrospective on our early research work, in the `Mathematical Physics Division' at Kiel, on the origin of Ultra High Energy Cosmic Ray Particles (UHECRP), beginning in the sixties and seventies with studies on Atmospheric Particle Propagation, proceeding in the seventies and eighties to investigations on Galactic Particle Transfer, and leading in the eighties and nineties to our present work on mechanisms for particle acceleration in pulsar magnetospheres. Cosmic rays, more than many fields of research, are found to be closely related to other branches of physics2. When looking on powerful cosmic accelerators from the point of view of fundamental physics, one has to study charged particle dynamics in extremely strong electromagnetic fields, of a kind that is expected near the surface of rapidly rotating, strongly magnetized neutron stars. Conventional Maxwell Theory (MT), for clearly discernable reasons, does not provide an adequate theoretical means of description in this case. Selfconsistent Electrodynamics (SCED), distinguished from MT through some of its essential premises offers itself, alternatively, as an appropriate language. Therefore, in the second chapter of my talk, I shall outline some features of SCED and reproduce the equation of particle motion on these grounds. In the third and concluding chapter, I shall discuss a mechanism to create very narrow bundles of energetic particles in the polar regions of aligned rotators3.
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