Classical Physics


Beltrami-Trkalian Vector Fields in Electrodynamics-Hidden Riches for Revealing New Physics and for Questioning the Structural Foundations of Classical Field Physics

Authors: Don Reed

This paper is a review of the work on Beltrami electromagnetic fields. It examines the subject histoically from its inception in Beltrami fluid flow, to the more recent embodiment of this same topology in force-free magnetic fields (FFMF).. Properties of FFMF are compared to to those of other novel electromagnetic modes. Solutions to the solenoidal FFMF equation (also termed Trkalian fields) are given in cylindrical polar coordinates for both axisymmetric and toroidal configurations. Empirical justification for Beltrami modes are revealed in specific non-linear plasma configurations. An imperative for new perspectives on classical vortex dynamics and fluid turbulence is surveyed in light of these developments, in connection with possible application to both theoretical and empirical science. Finally, related research is examined demonstrating the need to extend Maxwell's theory to biquaternion or higher SU(2) symmetries in order to adequately describe energy dynamics of screw-like Beltrami fields.

Comments: 32 Pages.

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Submission history

[v1] 2012-07-21 13:09:03

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