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Toroidal to poloidal conversion

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Coronal_Kink_Instability_with-text.gif

The top image shows tight toroidal twisting in a numerical simulation of 'kinked', or twisted solar plasma filaments.


The bottom image shows the filaments after 'un-kinking', or untwisting, showing largely poloidal geometry in the simulated plasma filaments.


The term poloidal was adopted by solar scientists, and is also used by plasma fusion research referring to

two style of windings in a fusion reactor, toroidal (through the hole), and poloidal (around the outside of the toroidal reactor).

The Sun's energy that ejects millions of tons of solar plasma depends on a tension, wound up like a watch spring, of helical twists in the gargantuan underground plasma current rivers beneath the solar surface. [1] [2]


At some point in time, the stored energy in helical form, toroidal current, is unleashed. This process is called coronal kink instability, and is a recoil of the stored toroidal twisting into a giant poloidal outbreak. This process ejects millions of tones of plasma away from the sun, leaving a cooler spot on the sun surface where the formerly sub-surface plasma currents broke out into space. These cooler spots are 'sun spots'.


Numerical simulations of twisted magnetic field lines on the solar surface show how the 'kink instability' results in solar flares

"...coronal magnetic field lines can become twisted and lead to solar eruptions known as coronal mass ejections (CMEs).
CMEs are large explosions of material (18 to 1011 tonnes) that are expelled from the Sun at supersonic speeds of up to 2,000 km s-1. Once free of the Sun's gravitational pull, the ejected material travels outwards through interplanetary space, often causing shockwaves that can trigger activity within planetary magnetospheres (the region of space around a planet that contains its magnetic field). The rate at which CMEs occur is closely linked to the 11-year cycle of the solar magnetic field and visible sunspot patterns."
"...studies find that an effect known as the 'kink instability' is able to accelerate the loop away from the Sun, such that it can become free of the solar magnetic field."
From Kinky flux by Paul Hanlon[3]

May 27, 2002 solar plasma filament eruption images from TRACE satellite compared to numerical analysis of T. Torok and B. Kliem. From Astrophysical Journal, Sept. 2005 © American Astronomical Society



Lindberg Plasma Ring Experiment

A plasma smoke ring (toroidal vortex) ejected from a radially magnetized nozzle demonstrated that passing plasma through the stationary flux of the permanent magnet nozzle will form a kink instability that will transfer magnetic flux density to the toroidal flux ring in the plasma vortex.


NASA SP-345 Evolution of the Solar System
history.nasa.gov
URL: http://history.nasa.gov/SP-345/p252.htm
Nasa lindberg plasma ring experiment P252a 712x389.jpg
FIGURE 15.3.3. Geometry of the Lindberg plasma ring experiment. (a) Before leaving the gun, Me (mercury) plasma has a toroidal magnetization B. It is shot through the radial field N-S. (b) On leaving the gun, the plasma ring pulls out the lines of force of the static magnetic field. (c) Plasma ring with captured poloidal field. If the toroidal magnetic energy is too large, a part of it is transferred to poloidal magnetic energy (through kink instability of the current). (d) The poloidal magnetic flux Φρ during the above experiment. The upper curve shows how the ring, when shot out from the gun, first acquires a poloidal flux Φ1. An instability of the ring later transforms toroidal energy into poloidal energy thus increasing the flux from mathematical symbol Φ1 to Φ2. The upper and lower curves represent the flux measured by two loops at 15 and 30 cm distance from the gun, respectively.



Fig. 1. A puncture enlarges to turn a torus inside-out, which also rotates the torus by 90°. From wikipedia.org


Hysteresis creates the discrete dwell of particulate matter, having closed stability on either side of the dwell only overcame by fractilization of the kinematics during adjustment of stored potential.


The moment of breaking a toroidal-loop of magnetic flux, hosted on a polarized system, will create an electromagnetic event that continues traveling omni-directionally; in all directions as an expanding, oscillating spheroid with magnetic axis and electrical axis at a rotation of optical polarization.


In a reverse sense, precisely focused EM fields may create a magnetic loop. The EM fields needed would behave to recreate the holographic wavefront, in reverse, of the breaking magnetic loop, while that holographic wavefront changes dynamically over time, no less.


A system of gathering is found when a conducting medium is shaped so as to optically interact with the natural EM wave fronts.


Optically, said antenna would yet be focusing on a revolving wavefront, per reckonings upon the Golden Error Phase Wave effect.


By engineering a spin upon the toroidal axis upon the resonant media of the electro-optic antenna-form to produce a cessation of wavefront rotation [4] within a resonant system hosting the holographic wavefront transients.



Geometric musings

Fig. 2. Hopf Fibration describing a torus surface as discreet circles. POVRay code by Daniel Piker.

The geometry of extremes of magnetic systems as 1) Toroidal flux patterns (cylindrical coils) and as 2) Poloidal flux patterns (toroid helix coils) are visualized as a stack of rings defining a cylindrical column of rings being cut and morphed and rejoined as the same number of rings arranged upon a toroidal surface as a Hopf Fibration.


The morphology of the cylindrical ring-stack being cut and twisted and rejoined as an entangled circle-set as a Hopf fibration (See Fig. 2) will morph-through the essential geometry of a phrase-sensitive system, and as such, circles numbered as a Fibonacci number will twist past cut-ends of neighboring circles (by a count of the next Fibonacci number past the circle count), to rejoin as a torus knot of the same circle-count/twist-past ratio.

[Fig. 3. Animation pending of the morphology of forms]

This scenario as a mental picture is the abstract reckoning of a phrase-sensitive resonant system.


While properly tuned as a macro system to invoke waveform optics, this configuration produces a catch-basin for EM gradients of the proper gradient slopes to essentially jerk a knot in the spiral funnels, adding another harmonic of spin-stress as an amplified artifact within the resonant system energy envelope.




  1. Gibson, S. E., and Y. Fan (2008), Partially ejected flux ropes: Implications for interplanetary coronal mass ejections, J. Geophys. Res., 113, A09103, doi:10.1029/2008JA013151 (Google Docs )
  2. Y. Fan (2005), Coronal Mass Ejections as Loss of Confinement of Kinked Magnetic Flux Ropes ApJ 630 543-551 doi: 10.1086/431733 (http://www.iop.org/EJ/abstract/0004-637X/630/1/543/)
  3. Kinky flux, Paul Hanlon, Research Highlights, Nature Physics Published online: September 1, 2005, doi:10.1038/nphys122 (http://www.nature.com/nphys/journal/vaop/nprelaunch/full/nphys122.html)
  4. wavefront rotation to offset the GEPW angular momenta —with respect to the universe? —or proximal scalar environment?

References