Force-Free Magnetic Fields: Solutions, Topology and Applications

World Publishing Co. Pte. Ltd. 1996

After an introductory chapter concerned with the history of force-free magnetic fields, and the relation of such fields to hydrodynamics and astrophysics, the book examines the limits imposed by the virial theorem for finite force-free configurations. Various techniques are then used to find solutions to the field equations. The fact that the field lines corresponding to these solutions have the common feature of being “twisted”, and may be knotted, motivates a discussion of field line topology and the concept of helicity. The topics of field topology, helicity, and magnetic energy in multiply connected domains make the book of interest to a rather wide audience. Applications to solar prominence models, type-II superconductors, and force-reduced magnets are also discussed. The book contains many figures and a wealth of material not readily available elsewhere.

https://www.gemarsh.com/wp-content/uploads/FFF-Errata-as-of-2026.docx

AN INTRODUCTION TO THE GLASMA HYPOTHESIS

A brief introduction to the glasma hypothesis is given here. Almost everything covered is far more complex than the discussion given. Nonetheless, this relatively elementary introduction should serve as an entrée into the field. The terminology used in the field is defined and there is an appendix on Light-cone and Milne Coordinates.

https://www.gemarsh.com/wp-content/uploads/AN-INTRODUCTION-TO-THE-GLASMA-HYPOTHESIS.pdf

BALL LIGHTNING AS A NON-CONSTANT ALPHA SPHERICAL FORCE-FREE MAGNETIC FIELD PLASMOID

A force-free magnetic field configuration is a state of minimum energy under the constraint of magnetic helicity conservation.  It is shown here that force-free magnetic field configurations that can be used for ball lightening can have alpha in the force-free field equation a scalar function rather than a simple constant.  Such fields have been proposed to contain the plasma of ball lightning.

https://www.gemarsh.com/wp-content/uploads/BALL-LIGHTNING-AS-A-NON-CONSTANT-ALPHA-FORCE-FREE-FIELD-PLASMOID.pdf

PLASMA CORE ROCKET ENGINES

The basic physics for plasma core rocket engines was already completed in 1985.  At the time successful containment of a fissioning uranium hexafluoride U(93%)F6 plasma was achieved for ~120 seconds using an argon vortex.  Unfortunately, hydrodynamic confinement of a fissioning fuel in a gas core nuclear rocket without uranium loss is probably unachievable.  This article proposes a plasma core that is magnetically contained and uses one of many possible stable force-free magnetic field configurations. 

ihttp://arxiv.org/abs/2510.07339

Alterations in Human EEG Activity Caused During Exposure to Low Frequency Electromagnetic Fields

It has been known for some time that AC electromagnetic fields of less than 50 Hz can alter the EEG traces of human subjects.  Here AC signals of 10 Hz or 20 Hz were applied to the temples of a human subject while recording the monitored EEG traces. It was found that there were significant variations in the traces in both amplitude and frequency during the test period. 

Here is the link to the article:

https://www.gemarsh.com/wp-content/uploads/Alterations-in-EEG-Activity-Caused-by-Low-Frequency-Electromagnetic-Fields.pdf

AN EXPERIMENT ON THE ELECTRICAL PROPERTIES OF HUMAN SKIN FOR AC VOLTAGES OF VARYING FREQUENCY

The resistivity of human skin depends on the layer within which it is measured. The DC characteristics are fairly well known; here, an experiment that measures the transport of AC signals through the skin is described.

Here is the link: https://www.gemarsh.com/wp-content/uploads/ELECTRICAL-PROPERTIES-OF-THE-SKIN-TO-AC-VOLTAGES-OF-VARYING-FREQUENCY.pdf

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