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			About This Guide 
			
				
				This Guide is intended for anyone 
				who wonders how our Universe really works, and who might be 
				interested in an intriguing and somewhat different point of 
				view.  
				
					
						- 
						
						Is the Universe now 
						expanding faster and faster as science magazines tell 
						us?   
						- 
						
						Does gravity alone, the 
						weaker of the two long-range forces and the centerpiece 
						of the Standard Model in astrophysics, rule the heavens? 
						 
					 
				 
				
				 
				
				  
				A small star grouping, NGC 265, 
				
				in the Small 
				Magellanic Cloud, near our Milky Way galaxy.  
				
				Image credit: 
				European Space Agency and NASA/Hubble 
  
				
				 
				Readers may be surprised to discover that many well-trained 
				skeptics do not support popular ideas in astronomy and the space 
				sciences.  
				  
				
				Critics doubt that "black holes" 
				actually exist. They suggest that "dark matter," supposedly far 
				more abundant than visible matter, is a mere fiction, hiding the 
				fact that earlier theories no longer work.  
				  
				
				Theories of galaxy formation, the 
				birth of stars, and the evolution of our planetary system are 
				all raised to doubt by critics who believe that a fateful turn 
				in 20th century theory set astronomy on a dead-end course. 
				 
				Enchanted by the role of gravity in the cosmos, astronomers 
				failed to recognize the pervasive role of charged particles and 
				electric currents in space. 
				  
				
				The purpose of this Guide is to 
				clarify a new vantage point, one that acknowledges the 
				contribution of the electric force to the dynamic structure and 
				highest energy events in the universe.  
				  
				
				As we compare events in space to the 
				behavior of charged particles in the laboratory, the differences 
				between an electric model and the traditional gravity-only model 
				should become progressively more clear. 
				 
				The purpose of this Guide is to introduce and clarify the roles 
				of plasma and electricity in space. It will describe what 
				produces the unique behavior of plasma, and how electricity 
				contributes to the complex and dynamic structure of the 
				universe.  
				  
				
				It describes a work still in the 
				early stages of progress, with its interpretation of 
				observations in space, near and far, much more inclusive of the 
				electric and plasma physics contributions than customarily found 
				in writing on this subject. 
				 
				We offer the Essential Guide to scientists and to the interested 
				lay reader. For those who like to delve into technical details, 
				links to more in-depth material are included, and will be 
				expanded over time. 
				 
				We will release the preliminary version of this Guide on the 
				Thunderbolts.info site one chapter at a time. 
				  
				
				The document will continue to 
				evolve, perhaps for years to come, and we invite contributions 
				from specialists in the scientific studies covered. Given the 
				explosion of data from space, no one working alone can keep up 
				with current findings. 
				  
				
				For this reason, interdisciplinary 
				collaboration will be a key to the success of this endeavor. 
				  
				  
				
				 
				Acknowledgements 
				 
				As work on this Guide proceeds, the number of individuals 
				deserving special acknowledgement will grow.  
				
				  
				
				But we will always owe a special 
				debt of gratitude to Bob Johnson, whose initial script 
				developed over several months gave us a solid foundation on 
				which to build this project. 
				 
				Jim Johnson, an architect by training, well-versed in the 
				principles of the Electric Universe, will serve as Managing 
				Editor and webmaster. 
				 
				The multi-talented Dave Smith will serve as advisor on 
				webmaster issues and as a key liaison to scientists and to 
				undergraduate and graduate students desiring to know more or to 
				actively participate. 
				 
				Also warranting mention are two individuals who, during the 
				formative phase of this project, invested substantial time in 
				identifying key questions and answers. The contributions of 
				Michael Gmirkin and Chris Reeve, though exceeding the 
				present scope of the Guide, have helped to pave the way for what 
				will come, including systematic answers to common 
				misconceptions. 
				 
				We are pleased to add to this list two assistant editors, Kim 
				Gifford and Mary-Sue Halliburton. Both have followed 
				discussion of the Electric Universe over several years and have 
				shown the requisite editorial skills this Guide will require. 
				 
				And finally, a thank you to our readers. Our first priority will 
				always be on tending to needed clarifications or corrections in 
				the published portions of the Guide.  
				
				  
				
				On such matters, our readers are 
				often the first to help. 
				 
				David Talbott 
				The Thunderbolts 
				Project 
			 
			
			
			
			Back to Contents 
			
			  
			
			 
			 
			 
			 
			
			
			Introduction 
			September 2, 2011 
			  
			
			 
			The New Picture of Space 
			 
			Now more than ever, the exploration of our starry Universe excites 
			the imagination. Never before has space presented so many pathways 
			for research and discovery. 
			 
			New observational tools enable us to "see" formerly-invisible 
			portions of the electromagnetic spectrum, and the view is 
			spectacular. Telescope images in X-ray, radio, infrared and 
			ultraviolet light reveal exotic structure and intensely energetic 
			events that continually redefine the quest as a whole. 
			 
			Spectrographic interpretation has grown hand-in-hand with faster, 
			large-memory computers and programs, in sophistication and in broad 
			scientific data processing, imaging and modeling capability. 
			 
			Standing out amidst an avalanche of new images is the greatest 
			surprise of the space age: evidence for pervasive electric currents 
			and magnetic fields across the universe, all connecting and 
			animating what once appeared as isolated islands in space. 
			  
			
			The intricate details revealed are not 
			random, but exhibit the unique behavior of charged particles in 
			plasma under the influence of electric currents. 
			 
			The telltale result is a complex of magnetic fields and associated 
			electromagnetic radiation. We see the effects on and above the 
			surface of the Sun, in the solar wind, in plasma structures around 
			planets and moons, in the exquisite structure of nebulas, in the 
			high-energy jets of galaxies, and across the unfathomable distances 
			between galaxies. 
			 
			Thanks to the technology of the 20th century, astronomers of the 
			21st century will confront an extraordinary possibility. The 
			evidence suggests that intergalactic currents, originating far 
			beyond the boundaries of galaxies themselves, directly affect 
			galactic evolution.  
			  
			
			The observed fine filaments and 
			electromagnetic radiation in intergalactic and interstellar plasma 
			are the signature of electric currents. Even the power lighting the 
			galaxies' constituent stars may indeed be found in electric currents 
			winding through galactic space. 
			  
			
			  
			
				
			
			  
				In a Coronal Mass Ejection (CME), 
			  
			
			charged particles are explosively 
			accelerated away   
			
			from the Sun in streaming filaments, defying the 
			Sun's immense gravity.   
			
			
			Electric fields accelerate charged 
			particles,  
			
			and nothing else known to science can achieve the same 
			effect. 
			
			If the Sun is the center of an electric field, 
			 
			
			how many 
			other enigmatic features of this body will find direct explanation? 
			 
			
			Credit: SOHO (NASA/ESA) 
			  
			
			
			 
			It was long thought that only gravity could do "work" or act 
			effectively across cosmic distances. But perspectives in astronomy 
			are rapidly changing. Specialists trained in the physics of 
			electricity and magnetism have developed new insights into the 
			forces active in the cosmos.  
			  
			
			A plausible conclusion emerges. Not 
			gravity alone, but electricity and gravity have shaped and continue 
			to shape the universe we now observe. 
			  
			  
			
			 
			A Little History 
			 
			The early theoretical foundation for modern astronomy was laid by 
			the work of Johannes Kepler and Isaac Newton in the 17th 
			and 18th centuries.  
			  
			
			Since 1687 when Newton first explained 
			the movement of the planets with his Law of Gravity, science has 
			relied on gravity to explain all large scale events, such as the 
			formation of stars and galaxies, or the births of planetary systems. 
			 
			This foundation rested on the observed role of gravity in our solar 
			system. 
			  
			
			Research into the nature and potential 
			of electricity had not yet begun. 
  
			  
			
				
			
			  
			Franklin's experiments with electricity occurred  
			
			after the directions 
			of gravity-only astronomy were already well-established. 
			 
			
			Credit: Photo 
			courtesy of the Benjamin Franklin Tercenary 
  
			
			 
			Then, in the 19th Century, research pioneers, whose very names 
			crackle with electricity: 
			
				
					- 
					
					Alessandro Volta (1745-1827) 
					 
					- 
					
					André Ampčre (1775-1836) 
					 
					- 
					
					Michael Faraday (1791-1867) 
					 
					- 
					
					Joseph Henry (1797-1878) 
					 
					- 
					
					James Clerk Maxwell (1831-1879) 
					 
					- 
					
					John H. Poynting (1852-1914), 
					 
				 
			 
			
			...began to empirically verify the 
			"laws" governing magnetism and electrodynamic behavior, and 
			developed useful equations describing them. 
			 
			By the start of the 20th Century a Norwegian researcher, Kristian 
			Birkeland (1867-1917), was exploring the relationship between 
			the aurora borealis and the magnetic fields he was able to measure 
			on the Earth below them.  
			  
			
			He deduced that flows of electrons from 
			the Sun were the source of the "Northern Lights" - a conclusion 
			confirmed in detail by modern research. It would be at least another 
			seventy years before the phrase "Birkeland currents" began to enter 
			the astronomers' lexicon. 
			 
			Subsequent work by other scientists, 
			
				
					- 
					
					James Jeans (1877-1946) 
					 
					- 
					
					Nobel Laureate Irving Langmuir 
					(1881-1957)  
					- 
					
					Willard Bennett (1903-1987)
					  
					- 
					
					Nobel Laureate Hannes Alfvén 
					(1908-1995), author of Cosmic Plasma,  
				 
			 
			
			...continued to extend our understanding 
			of ionized matter (plasma, the fourth state of matter). 
			 
			In the latter half of the 20th Century, Alfvén's close colleague 
			Anthony Peratt published a groundbreaking textbook on space plasma, 
			Physics of the Plasma Universe, the culmination of his hands-on, 
			high-energy plasma experiments and supercomputer particle-in-cell 
			plasma simulations at the Department of Energy's Los Alamos 
			Laboratory in New Mexico, USA.  
			  
			
			The book has continued to serve as a 
			guide to specialists in the field. 
			 
			A new tone in astronomy occurred as engineers pointed radio 
			telescopes to the sky and began to detect something astronomers had 
			not expected - radio waves from energetic events in the "emptiness" 
			of space.  
			  
			
			At the Second IEEE International 
			Workshop on Plasma Astrophysics and Cosmology, 1993, Kevin 
			Healy of the National Radio Astronomy Observatory (NRAO) 
			presented a paper, A Window on the Plasma Universe: The Very 
			Large Array, (VLA) in which he concluded, 
			
				
				"With the continuing emergence of 
				serious difficulties in the "standard models" of astrophysics 
				[and] the rise of the importance of plasma physics in the 
				description of many astrophysical systems, the VLA (Very Large 
				Array) is a perfect instrument to provide the observational 
				support for laboratory, simulation, and theoretical work in 
				plasma physics. 
				  
				
				Its unprecedented flexibility and 
				sensitivity provide a wealth of information on any radio 
				emitting region of the universe." 
			 
			
			 
			
				
			
			  
			
			Active galaxy 3C31 
			(circled at center)  
			
			is dwarfed by the 
			plasma jets along its polar axis,  
			
			moving at velocities 
			a large fraction of the speed of light.  
			
			How might the 
			electrical potential along the immense volume  
			
			of this active region 
			affect the evolution of this galaxy and its billions of stars? 
			 
			
			Credit: NRAO's Very 
			Large Array, and Patrick Leahy's Atlas of DRAGNs 
  
			
			 
			At the start of the 21st Century, Wallace Thornhill and 
			David Talbott wrote their collaborative book,
			
			The Electric Universe, and 
			electrical engineer and professor Donald E. Scott authored The 
			Electric Sky.  
			  
			
			Together these works provide the first 
			general introduction to a new understanding of electric currents and 
			magnetic fields in space. 
			 
			Leading the way in technical publication has been the Nuclear and 
			Plasma Sciences Society, a division of the Institute of Electrical 
			and Electronic Engineers (IEEE). This professional organization is 
			one of the world's largest publishers of scientific and technical 
			literature. 
			 
			Standing on the shoulders of the electrical pioneers, Carl 
			Fälthammar, Gerrit Verschuur, Per Carlqvist, Göran Marklund and many 
			others continue to extend groundbreaking plasma research to this 
			day. 
			  
			  
			
			 
			The Limits of Gravitational Theory 
			 
			The Law of Gravity, which relies exclusively on the masses of 
			celestial bodies and the distances between them, works very well for 
			explaining planetary and satellite motions within our solar system.
			 
			  
			
			But when astronomers tried to apply it 
			to galaxies and clusters of galaxies, it turns out that nearly 90% 
			of the mass necessary to account for the observed motion is missing. 
			 
			The trouble began in 1933 when astronomer Fritz Zwicky 
			calculated the mass-to-light ratio for 8 galaxies in the Coma 
			Cluster of the Coma Berenices ("Berenices's hair") constellation.
			 
			  
			
			At the time, it was assumed that the 
			amount of visible light coming from stars should be proportional to 
			their masses (a concept called "visual equilibrium").  
			  
			
			As Zwicky was to realize, the apparent 
			rapid velocities of the galaxies, around their common center of mass 
			("barycenter"), suggested that much more mass than could be seen was 
			required to keep the galaxies from flying out of the cluster. 
			 
			Zwicky concluded that the missing mass must therefore be invisible 
			or "dark". Other astronomers, such as Sinclair Smith (who performed 
			calculations on the Virgo Cluster in 1936) began to find similar 
			problems.  
			  
			
			To make matters worse, in the 1970s, 
			radial velocity plots (radius from the center versus stars' speed of 
			rotation) for stars in the Milky Way galaxy revealed that the speeds 
			flatten out rather than trail down, implying that velocity continues 
			to increase with radius, contrary to what Newton's Law of Gravity 
			predicts for, and which is observed in, the Solar System. 
			 
			In short, astronomers using the Gravity Model were forced to add a 
			lot more mass to every galaxy than can be detected at any 
			wavelength.  
			  
			
			They called this extra matter "dark"; 
			its existence can only be inferred from the failure of predictions. 
			To cover for the insufficiency they gave themselves a blank check, a 
			license to place this imagined stuff wherever needed to make the 
			gravitational model work. 
			 
			Other mathematical conjectures followed. Assumptions about the 
			redshift of objects in space led to the conclusion that the universe 
			is expanding. Then other speculations led to the notion that the 
			expansion is accelerating.  
			  
			
			Faced with an untenable situation, 
			astronomers postulated a completely new kind of matter, an invisible 
			"something" that repels rather than attracts.  
			  
			
			Since Einstein equated mass with energy 
			(E = mc˛), this new kind of matter was interpreted as being of a 
			form of mass that acts like pure energy - regardless of the fact 
			that if the matter has no mass it can have no energy according to 
			the equation. Astronomers called it "dark energy", assigning to it 
			an ability to overcome the very gravity on which the entire 
			theoretical edifice rested. 
			 
			Dark energy is thought to be something like an electrical field, 
			with one difference.  
			  
			
			Electric fields are detectable in two 
			ways: when they accelerate electrons, which emit observable photons 
			as synchrotron and Bremsstrahlung radiation, and by accelerating 
			charged particles as electric currents which are accompanied by 
			magnetic fields, detected through Faraday rotation of polarized 
			light.  
			  
			
			Dark energy seems to emit nothing and 
			nothing it purportedly does is revealed through a magnetic field. 
			One suggestion is that some property of empty space is responsible. 
			But empty space, by definition, contains no matter and therefore has 
			no energy. 
			  
			
			The concept of dark energy is 
			philosophically unsound and is a poignant reminder that the 
			gravity-only model never came close to the original expectations for 
			it. 
  
			  
			
			
			
			  
			This artistic view of the standard model of the Big Bang 
			 
			
			and the expanding 
			Universe seems  
			
			to present a precise 
			picture of cosmic history.  
			
			A much different 
			story emerges as we learn  
			
			about plasma 
			phenomena and electric currents in space.  
			
			Credit: NASA WMAP 
  
			
			 
			Taking the postulated dark matter and dark energy together, 
			something on the order of twenty-four times as much mass in the form 
			of invisible stuff would have to be added to the visible, detectable 
			mass of the Universe.  
			  
			
			That's to say, in the Gravity Model all 
			the stars and all the galaxies and all the matter between the stars 
			that we can detect only amount to a minuscule 4% of the estimated 
			mass: 
  
			  
			
			
			  
			Chandra X-ray Observatory  
			
			estimates of the 
			"total energy content of the Universe".  
			
			Only "normal" matter 
			can be directly detected with telescopes.  
			
			The remaining "dark" 
			matter and energy are invisible.  
			
			Image Credit: NASA 
			WMAP 
  
			
			 
			Critics often point out that a theory requiring speculative, 
			undetectable stuff on such a scale also stretches credulity to the 
			breaking point. Something very real, perhaps even obvious, is almost 
			certainly missing in the standard Gravity Model. 
			 
			Is it possible that the missing component could be something as 
			familiar to the modern world as electricity? 
			
			  
			
			
			
			Back to Contents 
			 
  
			
			 
			 
			 
			
			
			Chapter 1 - Distances in Space 
			September 2, 2011 
			  
			  
			
			 
			1.1 Distances to Stars 
			 
			When we look up into the night sky and see all the stars, many of 
			which are suns similar to our own, they look fairly close together. 
			But they're not really close at all. The extent of space between 
			them is huge. 
			 
			Distance is an important and difficult quantity to measure in 
			astronomy.  
			  
			
			We have to know how close we are to the 
			stars and galaxies because much else in astronomy depends directly 
			on that specific information - the total energy (luminosity) 
			emitted, masses from orbital motions, stars' true motions through 
			space, and their true physical sizes. 
  
			  
			
			
			
			  
			Starburst cluster  
			
			photo courtesy NASA/Hubble Space Telescope 
  
			
			 
			Stars are so far away that even in telescopes they are only tiny 
			points of light.  
			  
			
			Without a knowledge of the distance, you 
			cannot accurately know whether you are looking at a small but very 
			bright star or at a larger but less bright star, or whether this 
			star or that is closer to us. This is also true of galaxies, 
			quasars, jets and other distant phenomena. 
			 
			The distance between our eyes provides us our depth perception. Each 
			eye must be held at a specific angle to center a subject. 
			 
			  
			
			The brain interprets those angles and 
			adjusts the eye's focus, giving us a feel for how close the subject 
			is and creating an in-depth image of the world around us. This 
			biological angular detection is the basis of a distance calculation 
			method called parallax in astronomy. 
			 
			Triangulation, or trigonometric parallax, is a direct way of using 
			the measured angular difference from two positions to measure the 
			distance to some object.  
			  
			
			By observing a star's position relative 
			to the background stars from opposite sides of our orbit about the 
			Sun, we have a wide baseline that will allow us to get an angular 
			difference from observations 6 months apart and be able to measure 
			the distance to something as far away as a star. 
  
			  
			
			
			  
			Trigonometric parallax diagram 
			 
			
			courtesy Australian 
			Telescope Outreach and Education website 
  
			
			 
			The Earth averages about 93 million miles from the Sun, so that is 
			its nearly-circular orbit's radius.  
			  
			
			This distance is often called an 
			astronomical unit (AU) in astronomy. So the distance from one side 
			of the Earth's orbit to the opposite side is 2 AU, or about 186 
			million miles.  
			  
			
			When we measure the angle to the nearest 
			star (Alpha Centauri) from one side of the orbit, wait six months, 
			and measure it again, we find that the angular difference is rather 
			small, requiring enormous precision of measurement. More on parallax 
			and distance calculations here and here. 
			 
			The European Space Agency (ESA) launched its automated Hipparcos 
			satellite telescope to take measurements of over 118,000 stars 
			during its lifetime from 1989–1993. Mission: improve the precision 
			of catalogued locations of many stars and update the Tycho and Tycho 
			2 catalogs.  
			  
			
			Out of the newly measured parallaxes, 
			20,870 stars met the criterion of having a stellar parallax error of 
			10% or less. 
  
			  
			
			
			  
			HIPPARCOS satellite parallax error plot by Ralph Biggins, 
			 
			
			from ESA/HIPPARCOS 
			catalog data.  
			
			Note increasing 
			percent error bounds  
			
			(vertically expanding 
			wedge) with increasing distance 
  
			
			 
			Even with the more accurate Hipparcos satellite data, distance 
			measurements to stars out to around 200-220 light-years have up to 
			10% error, and they are increasingly less accurate out to about 500 
			light-years.  
			  
			
			Beyond that, trigonometric parallax 
			measurements should not be considered reliable. Pogge, in the link 
			above to his Lecture 5, claims Hipparcos data give "good distances 
			out to 1000 light-years", yet an estimated distance of only 500 
			light years with ±20%–30% error is already off by too much to be of 
			much use.  
			  
			
			1000 light-years is an almost 
			incomprehensible distance, yet it is only about 1% of the way across 
			our Milky Way galaxy. 
			 
			An angle of one degree is subdivided into 60 minutes (60′) of arc, 
			like the convention of dividing an hour into 60 minutes of time. 
			Similarly each minute of arc can be subdivided into 60 seconds (60″) 
			of arc.  
			  
			
			The parallax to all stars except our Sun 
			is less than one arc second. In fact, the parallax to Alpha Centauri 
			is about 0.75 of an arc second, or about 0.0002 degree. The parallax 
			angle to all other stars is even less than this small value. 
			 
			One light-year, the distance light travels in vacuum in one year, is 
			almost 6 trillion miles. If you divide 3.26 by the parallax to a 
			star in arc seconds, you will get the distance to the star as 
			measured in light-years.  
			  
			
			Astronomers generally prefer parsecs 
			(pc) rather than light-years as distance measurements, even though 
			parallax measurements can only be used to determine distance 
			accurately a relatively short distance from our Sun. 
			 
			Example: (3.26 / 0.75 arc-second) = 4.36 light-years (ly), which is, 
			
				
				25.65 trillion miles or 1.33 parsecs 
				to the nearest star. 
			 
			
			Let's start closer to home. 
  
			  
			  
			
			1.2 Modeling Distances In and Near Our Solar 
			System 
			 
			Robert Burnham developed a model to show us in ordinary terms how 
			much space there is out there between the stars. To understand its 
			scale we need to know a couple of real distances. 
			 
			As noted above, the distance from the Earth to the Sun is around 
			92,960,000 miles (149,605,000 km). Usually rounded off to 93 million 
			miles (150 million km), this distance is called the Astronomical 
			Unit (AU). 
			 
			A light-year (ly) is equal to 63,294 AU.  
			  
			
			Coincidentally, this is about the same 
			number as the number of inches in a statute mile, 63,360. Therefore, 
			there is around the same number of inches in 1 AU (63,360 x 
			92,960,000) as the number of miles in 1 light-year (63,294 x 
			92,960,000). Those are really big numbers. Let's stick to inches. 
			 
			Burnham set the scale in his model so that 1 inch (1″) equals 1 AU 
			or 93 million miles. Then 1 mile in our model would equal 1 ly. This 
			scale would be expressed as 1:6,000,000,000,000. That's one unit 
			represents six million million units, which is a scale of one to 6 
			trillion or 1:6×1012. 
			 
			Let's start describing a Burnhamesque miniature scale model of our 
			solar system using this scale.  
			  
			
			We know the distance from Earth to the 
			Sun (1 AU) will be one inch. How big will the Sun be? The Sun's 
			diameter is about 870,000 miles, so in our scale model the Sun will 
			be a little under 1/100th of an inch across. That's a very tiny 
			speck.  
			  
			
			The Earth will be one inch away from the 
			Sun but so small (0.00009″, or 9 one hundred thousandths of an inch) 
			that we would not be able to see it without a microscope. 
  
			  
			
			
			  
			The inner solar system, 
			 
			
			non-scaled artist's 
			image 
  
			
			 
			Pluto's orbital radius is 39.5 times larger than Earth's, so Pluto 
			will be 39.5 inches, or almost exactly 1 meter, from the Sun. The 
			heliosphere, the region around the Sun which the solar wind 
			permeates, is about 7 feet in our model. 
			 
			So where is the nearest star in our model? Our nearest neighbor is 
			Alpha Centauri, which is over 4 light-years away. That's more than 4 
			miles in our model. 
			 
			Yes, 4 miles. Our model Sun is one tiny speck, and it's 4 miles to 
			the next nearest speck. That's a lot of space in between. So how big 
			is our galaxy in this tiny model?  
			  
			
			The model galaxy would stretch 100,000 
			miles across. The thin disk and spiral arms would be a thousand 
			miles thick. Its central bulge of stars would be well over 6000 
			miles from top to bottom. Our galaxy is but one of hundreds of 
			billions of galaxies visible in the observable Universe with our 
			present instruments.  
			  
			
			The nighttime sky appears to be crowded 
			with stars, but stars are separated typically by over 10 million 
			times their diameters. 
  
			  
			  
			
			1.3 Distance and Gravity 
			 
			Remember that, as Newton wrote, the force of gravity decreases with 
			(i.e., is inversely proportional to) the square of the distance 
			between two objects.  
			  
			
			So the gravitational attraction between 
			two specks 4 miles apart isn't all that strong. Nor is the force of 
			gravity between two stars 4 light-years apart. Let's use Newton's 
			equation to work out what it actually is. 
			 
			In the simple equation below, above the worksheet, F is the force in 
			Newtons, G is a very small number called the Gravitational Constant, 
			M1 and M2 are the estimated masses of the two stars in kilograms, 
			and r is the distance between their centers in meters.  
			  
			
			Astronomers use the metric or S.I. 
			system as it is much more widely used and more convenient than the 
			traditional Imperial system of inches, feet, miles, pounds and 
			ounces.  
			  
			
			However, the result of the calculation 
			is presented at the bottom of the image in terms of the force of 
			gravity at Earth's surface, called a "gee" (for "gravity") 
			regardless of your measurement system. 
			
				
				F = G × (M1 × M2) ÷ r˛ 
			 
			  
			
			
			  
			Gravity force calculation  
			
			exerted on the Sun by 
			Alpha Centauri 
  
			
			 
			Despite their great mass, the two stars exert only a miniscule 
			gravitational acceleration on each other.  
			  
			
			Whatever forces control the behavior of 
			the matter in the universe must be strong enough and must be able to 
			operate effectively enough over the immense distances involved. 
			 
			Newton's law of gravity has done well enough in explaining the 
			forces of attraction and orbital motions within the limited area of 
			the solar system.  
			  
			
			But the relatively weak force of gravity 
			could only operate effectively, if at all, over interstellar 
			distances if it were true that space is empty and there were no 
			competing forces which might overcome that of gravity. 
			
			  
			
			
			
			Back to Contents 
			 
			 
			 
			 
			 
			
			
			Chapter 2 - Magnetic and Electric 
			Fields in Space 
			October 17, 2011 
			  
			
			 
			2.1 The Strength of Gravity and 
			Electric Forces 
			 
			Gravity is a relatively very weak force.  
			  
			
			The electric Coulomb force between a 
			proton and an electron is of the order of 1039 (that's 1 with 39 
			zeros after it) times stronger than the gravitational force between 
			them. 
  
			  
			
			
			  
			The four fundamental interactions (forces) in physics 
  
			
			 
			We can get a hint of the relative strength of electromagnetic forces 
			when we use a small magnet to pick up an iron object, say, a ball 
			bearing.  
			  
			
			Even though the whole of Earth's 
			gravitation attraction is acting upon the ball bearing, the magnet 
			overcomes this easily when close enough to the ball bearing. In 
			space, gravity only becomes significant in those places where the 
			electromagnetic forces are shielded or neutralized. 
			  
			
			  
			
			
			  
			Small magnet attracts and holds a ball bearing   
			
			against Earth 
			gravity's pull. 
			  
			
			
			 
			For spherical masses and charges, both the gravity force and the 
			electric Coulomb force vary inversely with the square of the 
			distance and so decrease rapidly with distance. For other 
			geometries/configurations, the forces decrease more slowly with 
			distance.  
			  
			
			For example, the force between two 
			relatively long and thin electric currents moving parallel to each 
			other varies inversely with the first power of the distance between 
			them. 
			 
			Electric currents can transport energy over huge distances before 
			using that energy to create some detectable result, just like we use 
			energy from a distant power station to boil a kettle in our kitchen. 
			This means that, over longer distances, electromagnetic forces and 
			electric currents together can be much more effective than either 
			the puny force of gravity or even the stronger electrostatic Coulomb 
			force. 
			 
			Remember that, just in order to explain the behavior of the matter 
			we can detect, the Gravity Model needs to imagine twenty-four times 
			more matter than we can see, in special locations, and of a special 
			invisible type. 
			  
			
			It seems much more reasonable to 
			investigate whether the known physics of electromagnetic forces and 
			electric currents can bring about the observed effects instead of 
			having to invent what may not exist. 
			  
			  
			
			 
			2.2 The "Vacuum" of Space 
			 
			Until about 100 years ago, space was thought to be empty. The words 
			"vacuum" and "emptiness" were interchangeable.  
			  
			
			But probes have found that space 
			contains atoms, dust, ions, and electrons. Although the density of 
			matter in space is very low, it is not zero. Therefore, space is not 
			a vacuum in the conventional sense of there being "nothing there at 
			all".  
			  
			
			For example, the Solar "wind" is known 
			to be a flow of charged particles coming from the Sun and sweeping 
			round the Earth, ultimately causing visible effects like the 
			Northern (and Southern) Lights. 
			 
			The dust particles in space are thought to be 2 to 200 nanometers in 
			size, and many of them are also electrically charged, along with the 
			ions and electrons. This mixture of neutral and charged matter is 
			called plasma, and it is suffused with electromagnetic fields.
			 
			  
			
			We will discuss plasma and its unique 
			interactions with electromagnetic fields in more detail in Chapter 
			3. The "empty" spaces between planets or stars or galaxies are very 
			different from what astronomers assumed in the earlier part of the 
			20th century. 
			 
			(Note about terminology in links: astronomers often refer to matter 
			in the plasma state as "gas," "winds," "hot, ionized gas," "clouds," 
			etc.  
			  
			
			This fails to distinguish between the 
			two differently-behaving states of matter in space, the first of 
			which is electrically-charged plasma and the other of which may be 
			neutral gas which is just widely-dispersed, non-ionized molecules or 
			atoms.) 
  
			  
			
			
			  
			Ionized 
			hydrogen (plasma) abundance in a northern sky survey 
			
			Image: Wiki Commons 
  
			
			 
			The existence of charged particles and electromagnetic fields in 
			space is accepted in both the Gravity Model and the Electric Model. 
			But the emphasis placed on them and their behavior is one 
			distinctive difference between the models.  
			  
			
			We will therefore discuss magnetic 
			fields next. 
  
			  
			
			
			  
			Aurora, photographed by L. Zimmerman, Fairbanks, Alaska. 
			
			Image courtesy 
			spaceweather.com, Aurora PhotoGallery 
			  
			  
			
			 
			2.3 Introduction to Magnetic Fields 
			 
			What do we mean by the terms "magnetic field" and "magnetic field 
			lines"? 
			  
			
			In order to understand the concept of a 
			field, let's start with a more familiar example: gravity. 
			 
			We know that gravity is a force of attraction between bodies or 
			particles having mass. We say that the Earth's gravity is all around 
			us here on the surface of the Earth and that the Earth's gravity 
			extends out into space.  
			  
			
			We can express the same idea more 
			economically by saying that the Earth has a gravitational field 
			which extends into space in all directions. In other words, a 
			gravitational field is a region where a gravitational force of 
			attraction will be exerted between bodies with mass. 
			 
			Similarly, a magnetic field is a region in which a magnetic force 
			would act on a magnetized or charged body. (We will look at the 
			origin of magnetic fields later). The effect of the magnetic force 
			is most obvious on ferromagnetic materials.  
			  
			
			For example, iron filings placed on a 
			surface in a magnetic field align themselves in the direction of the 
			field like compass needles. 
  
			  
			
			
			  
			A bar magnet with iron filings around it,   
			
			showing the magnetic field 
			direction 
  
			
			 
			Because the iron filings tend to align themselves south pole to 
			north pole, the pattern they make could be drawn as a series of 
			concentric lines, which would indicate the direction and, 
			indirectly, strength of the field at any point. 
			 
			Therefore magnetic field lines are one convenient way to represent 
			the direction of the field, and serve as guiding centers for 
			trajectories of charged particles moving in the field (ref. 
			Fundamentals of Plasma Physics, Cambridge University Press, 2006, 
			Paul Bellan, Ph.D.) 
			 
			It is important to remember that field lines do not exist as 
			physical objects.  
			  
			
			Each iron filing in a magnetic field is 
			acting like a compass: you could move it over a bit and it would 
			still point magnetic north-south from its new position. Similarly, a 
			plumb bob (a string with a weight at one end) will indicate the 
			local direction of the gravitational field. Lines drawn 
			longitudinally through a series of plumb bobs would make a set of 
			gravitational field lines.  
			  
			
			Such lines do not really exist; they are 
			just a convenient, imaginary means of visualizing or depicting the 
			direction of force applied by the field. See Appendix I for more 
			discussion of this subject, or here, at Fizzics Fizzle. 
			 
			A field line does not necessarily indicate the direction of the 
			force exerted by whatever is causing the field.  
			  
			
			Field lines may be drawn to indicate 
			direction or polarity of a force, or may be drawn as contours of 
			equal intensities of a force, in the same way as contour lines on a 
			map connect points of equal elevation above, say, sea level. Often, 
			around 3-dimensional bodies with magnetic fields, imaginary surfaces 
			are used to represent the area of equal force, instead of lines. 
			 
			By consensus, the definition of the direction of a magnetic field at 
			some point is from the north to the south pole. 
			 
			In a gravitational field, one could choose to draw contour lines of 
			equal gravitational force instead of the lines of the direction of 
			the force. These lines of equal gravitational force would vary with 
			height (that is, with distance from the center of the body), rather 
			like contour lines on a map. To find the direction of the force 
			using these elevation contour lines, one would have to work out 
			which way a body would move.  
			  
			
			Placed on the side of a hill, a stone 
			rolls downhill, across the contours. In other words the 
			gravitational force is perpendicular to the field lines of equal 
			gravitational force. 
			 
			Magnetic fields are more complicated than gravity in that they can 
			either attract or repel.  
			  
			
			Two permanent bar magnets with their 
			opposite ends (opposite "poles", or N-S) facing each other will 
			attract each other along the direction indicated by the field lines 
			of the combined field from them both (see image above). Magnets with 
			the same polarity (N-N or S-S) repel one another along the same 
			direction. 
			 
			Magnetic fields also exert forces on charged particles that are in 
			motion.  
			  
			
			Because the force that the charged 
			particle experiences is at right angles to both the magnetic field 
			line and the particle's direction, a charged particle moving across 
			a magnetic field is made to change direction (i.e. to accelerate) by 
			the action of the field. Its speed remains unchanged to conserve 
			kinetic energy.  
			
			  
			
			The following image shows what happens to an 
			electron beam in a vacuum tube before and after a magnetic field is 
			applied, in a lab demonstration. 
			  
			
			  
			
			  
			
			In this 
			demonstration, a vacuum tube accelerates a narrow 
			beam of electrons (emitting blue light) vertically upward. 
			Energizing the magnetic field of the coils by passing an 
			electric current through them forces the electron beam to curve. 
			Image credit: Clemson University, Physics On-line Labs  
			
			  
			
			
			 
			The magnetic force on a charged particle in motion is analogous to 
			the gyroscopic force.  
			  
			
			A charged particle moving directly along 
			or "with" a magnetic field line won't experience a force trying to 
			change its direction, just as pushing on a spinning gyroscope 
			directly along its axis of rotation will not cause it to turn or "precess". 
			 
			Even though the force on different charged particles varies, the 
			concept of visualizing the direction of the magnetic field as a set 
			of imaginary field lines is useful because the direction of the 
			force on any one material, such as a moving charged particle, can be 
			worked out from the field direction. 
			 
  
			
			  
			
			Magnetic field lines 
			superimposed on the Sun 
			
			in the vicinity of a 
			coronal hole and other active regions.  
			
			Understanding the 
			dynamics of such fields helps to understand  
			
			the underlying plasma 
			currents forming them.  
			
			Image credit: NASA 
			SDO / Lockheed Martin Space Systems Corp., 10.20.2010 
  
			  
			  
			
			2.4 The Origin of Magnetic Fields 
			 
			There is only one way that magnetic fields can be generated: by 
			moving electric charges. In permanent magnets, the fields are 
			generated by electrons spinning around the nuclei of the atoms.
			 
			  
			
			A strong magnet is created when all the 
			electrons orbiting the nuclei have spins that are aligned, creating 
			a powerful combined force. If the magnet is heated to its Curie 
			temperature, the thermal motion of the atoms breaks down the orderly 
			spin alignments, greatly reducing the net magnetic field. In a metal 
			wire carrying a current, the magnetic field is generated by 
			electrons moving down the length of the wire.  
			  
			
			A more detailed introduction to the 
			complex subject of exchange coupling and ferromagnetism can be found 
			here. 
			 
			Either way, any time electric charges move, they generate magnetic 
			fields. Without moving electric charges, magnetic fields cannot 
			exist. Ampčre's Law states that a moving charge generates a magnetic 
			field with circular lines of force, on a plane that is perpendicular 
			to the movement of the charge. 
			 
			Magnetic field lines surround a conductor in concentric, equal 
			valued cylinders or "shells". Note that if you align your right 
			thumb in the direction arrow of the current, your curled fingers 
			show the magnetic field direction. Image credit: Wikimedia Commons, 
			captions added 
			 
			Since electric currents made up of moving electric charges can be 
			invisible and difficult to detect at a distance, detecting a 
			magnetic field at a location in space (by well-known methods in 
			astronomy, see below) is a sure sign that it is accompanied by an 
			electric current. 
			 
			If a current flows in a conductor, such as a long straight wire or a 
			plasma filament, then each charged particle in the current will have 
			a small magnetic field around it. When all the individual small 
			magnetic fields are added together, the result is a continuous 
			magnetic field around the whole length of the conductor.  
			  
			
			The regions in space around the wire 
			where the field strength is equal (called "equipotential surfaces") 
			are cylinders concentric with the wire. 
			  
			
			  
			
			  
			
			Magnetic field lines 
			surround a conductor in concentric 
			equal-valued cylinders or "shells". Note that if you align 
			your right thumb in the direction arrow of the current, 
			your curled fingers show the magnetic field direction 
			Image credit: Wikimedia Commons, captions added  
			
			  
			
			
			 
			Time-varying electric and magnetic fields are considered later. (See 
			Chapter IV and Appendix III) 
			 
			The question of the origin of magnetic fields in space is one of the 
			key differences between the Gravity Model and the Electric Model. 
			 
			The Gravity Model allows for the existence of magnetic fields in 
			space because they are routinely observed, but they are said to be 
			caused by dynamos inside stars. For most researchers today, neither 
			electric fields nor electric currents in space play any significant 
			part in generating magnetic fields. 
  
			  
			
			 
			In contrast, the Electric Model, as we shall see in more detail 
			later, argues that magnetic fields must be generated by the movement 
			of charged particles in space in the same way that magnetic fields 
			are generated by moving charged particles here on Earth. Of course, 
			the Electric Model accepts that stars and planets have magnetic 
			fields, too, evidenced by magnetospheres and other observations.
			 
			  
			
			The new insight has been to explain a 
			different origin for these magnetic fields in space if they are not 
			created by dynamos in stars. 
  
			  
			  
			
			2.5 Detecting Magnetic Fields in Space 
			 
			Since the start of the space age, spacecraft have been able to 
			measure magnetic fields in the solar system using instruments on 
			board the spacecraft. We can "see" magnetic fields beyond the range 
			of spacecraft because of the effect that the fields have on light 
			and other radiation passing through them.  
			  
			
			We can even estimate the strength of the 
			magnetic fields by measuring the amount of that effect. 
  
			  
			
			 
			                    
			Optical image                                       Magnetic field intensity, direction 
			
			  
			Courtesy Rainer Beck and Bill Sherwood (ret.),  
			
			Max Planck Institute 
			für Radio-Astronomie 
  
			
			 
			We have known about the Earth's magnetic field for centuries. We can 
			now detect such fields in space, so the concept of magnetic fields 
			in space is intuitively easy to understand, although astronomers 
			have difficulty in explaining the origination of these magnetic 
			fields. 
			 
			Magnetic fields can be detected at many wavelengths by observing the 
			amount of symmetrical spectrographic emission line or absorption 
			line splitting that the magnetic field induces.  
			  
			
			This is known as the Zeeman effect, 
			after Dutch physicist and 1902 Nobel laureate, Pieter Zeeman, 
			(1865-1943).  
			  
			
			Note in the right image above how 
			closely the field direction aligns with the galactic arms visible in 
			the optical image, left. 
  
			  
			
			
			  
			The Zeeman 
			effect, spectral line broadening or splitting in a magnetic field.
			 
			
			Image credit: 
			www.chemteam.info/classical papers/no.38,1897 - the Zeeman effect.
			 
			
			Original photo by 
			Pieter Zeeman 
  
			
			 
			Another indicator of the presence of magnetic fields is the 
			polarization of synchrotron emission radiated by electrons in 
			magnetic fields, useful at galactic scales.  
			  
			
			See Beck's article on Galactic Magnetic 
			Fields, in Scholarpedia, plus Beck and Sherwood's Atlas of Magnetic 
			Fields in Nearby Galaxies. Measurement of the degree of polarization 
			makes use of the Faraday effect. The Faraday rotation in turn leads 
			to the derivation of the strength of the magnetic field through 
			which the polarized light is passing. 
			 
			The highly instructional paper by Phillip Kronberg et al, 
			Measurement of the Electric Current in a Kpc-Scale Jet, provides 
			a compelling insight into the direct link between the measured 
			Faraday rotation in the powerful "knots" in a large galactic jet, 
			the resultant magnetic field strength, and the electric current 
			present in the jet. 
			 
			Magnetic fields are included in both the Gravity Model and the 
			Electric Model of the Universe. The essential difference is that the 
			Electric Model recognizes that magnetic fields in space always 
			accompany electric currents.  
			  
			
			We will take up electric fields and 
			currents next. 
  
			  
			  
			
			2.6 Introduction to Electric Fields 
			 
			An electric charge has polarity.  
			  
			
			That is, it is either positive or 
			negative. By agreement, the elementary (smallest) unit of charge is 
			equal to that of an electron (-e) or a proton (+e). Electric charge 
			is quantized; it is always an integer multiple of e. 
			 
			The fundamental unit of charge is the coulomb (C), where e = 1.60×10-19 
			coulomb. By taking the inverse of the latter tiny value, one coulomb 
			is 6.25×1018 singly-charged particles.  
			  
			
			One ampere (A) of electric current is 
			one coulomb per second. A 20A current thus would be 20°C of charge 
			per second, or the passage of 1.25×1020 electrons 
			per second past a fixed point. 
			 
			Every charge has an electric field associated with it. An electric 
			field is similar to a magnetic field in that it is caused by the 
			fundamental force of electromagnetic interaction and its "range" or 
			extent of influence is infinite, or indefinitely large. The electric 
			field surrounding a single charged particle is spherical, like the 
			gravitational acceleration field around a small point mass or a 
			large spherical mass. 
			  
			
			  
			
			
			  
			The electric field around a single positive charge (L) and between 
			two charged plates.  
			
			Arrows indicate the direction of the force on a 
			positive charge.  
			
			Note that the same force would be applied in the 
			opposite direction on a negative charge. 
			  
			
			
			 
			The strength of an electric field at a point is defined as the force 
			in newtons (N) that would be exerted on a positive test charge of 1 
			coulomb placed at that point. Like gravity, the force from one 
			charge is inversely proportional to the square of the distance to 
			the test (or any other) charge. 
			 
			The point in defining a test charge as positive is to consistently 
			define the direction of the force due to one charge acting upon 
			another charge.  
			  
			
			Since like charges repel and opposites 
			attract, just like magnetic poles, the imaginary electric field 
			lines tend to point away from positive charges and toward negative 
			charges. See a short YouTube video on the electric field here. 
			 
			Here is a user-controlled demonstration of 2 charges and their 
			associated lines of force in this Mathematica application. 
			 
			You may need to download Mathematica Player (just once, and it's 
			free) from the linked web site to play with the demo. Click on 
			"Download Live Demo" after you install Mathematica Player. You can 
			adjust strength and polarity of charge (+ or -) with the sliders, 
			and drag the charged particles around the screen. Give the field 
			lines time to smooth out between changes. 
			 
			Electromagnetic forces are commonly stronger than gravitational 
			forces on plasma in space. Electromagnetism can be shielded, while 
			gravity can not, so far as is known.  
			  
			
			The common argument in the standard 
			model is that most of the electrons in one region or body are paired 
			with protons in the nuclei of atoms and molecules, so the net forces 
			of the positive charges and negative charges cancel out so perfectly 
			that "for large bodies gravity can dominate" (link: Wikipedia, 
			Fundamental Interactions, look under the Electromagnetism 
			sub-heading). 
			 
			What is overlooked above is that, with the occasional exception of 
			relatively cool, stable and near-neutral planetary environments like 
			those found here on Earth, most other matter in the Universe 
			consists of plasma; i.e., charged particles and neutral particles 
			moving in a complex symphony of charge separation and the electric 
			and magnetic fields of their own making. Gravity, while always 
			present, is not typically the dominant force. 
			 
			Far from consisting of mostly neutralized charge and weak magnetic 
			and electric fields and their associated weak currents, electric 
			fields and currents in plasma can and often do become very large and 
			powerful in space.  
			  
			
			The Electric Model holds that phenomena 
			in space such as magnetospheres, Birkeland currents, stars, pulsars, 
			galaxies, galactic and stellar jets, planetary nebulas, "black 
			holes", energetic particles such as gamma rays and X-rays and more, 
			are fundamentally electric events in plasma physics. 
			  
			
			Even the rocky bodies - planets, 
			asteroids, moons and comets, and the gas bodies in a solar system - 
			exist in the heliospheres of their stars, and are not exempt from 
			electromagnetic forces and their effects. 
			 
			Each separate charged particle contributes to the total electric 
			field.  
			  
			
			The net force at any point in a complex 
			electromagnetic field can be calculated using vectors, if the 
			charges are assumed stationary. If charged particles are moving (and 
			they always are), however, they "create" - are accompanied by - 
			magnetic fields, too, and this changes the magnetic configuration.
			 
			  
			
			Changes in a magnetic field in turn 
			create electric fields and thereby affect currents themselves, so 
			fields that start with moving particles represent very complex 
			interactions, feedback loops and messy mathematics. 
			 
			Charges in space may be distributed spatially in any configuration. 
			  
			
			If, instead of a point or a sphere, the 
			charges are distributed in a linear fashion so that the length of a 
			charged area is much longer than its width or diameter, it can be 
			shown that the electric field surrounds the linear shape like 
			cylinders of equal force potential, and that the field from this 
			configuration decreases with distance from the configuration as the 
			inverse of the distance (not the inverse square of the distance) 
			from the centerline.  
			  
			
			This is important in studying the 
			effects of electric and magnetic fields in filamentary currents such 
			as lightning strokes, a plasma focus, or large Birkeland currents in 
			space. 
			 
			Remember that the direction of applied force on a positive charge 
			starts from positive charge and terminates on negative charge, or 
			failing a negative charge, extends indefinitely far.  
			  
			
			Even a small charge imbalance with, say, 
			more positively-charged particles here and more negatively-charged 
			particles a distance away leads to a region of force or electric 
			field between the areas of separated dissimilar charges. The 
			importance of this arrangement will become more clear in the 
			discussion of double layers in plasma, further on. 
			 
			Think of an electrical capacitor where there are two separated, 
			oppositely charged plates or layers, similar to the two charged 
			plates "B" in the diagram above.  
			  
			
			There will be an electric field between 
			the layers. Any charged particle moving or placed between the layers 
			will be accelerated towards the oppositely charged layer. Electrons 
			(which are negatively charged) accelerate toward the positively 
			charged layer, and positive ions and protons toward the negatively 
			charged layer. 
			  
			
			  
			
			
			  
			A candle flame in an electric field between two dissimilarly charged 
			plates  
			
			will be oriented sideways because a flame is a partially 
			ionized plasma. 
			
			It therefore responds more strongly to the electric 
			force between the plates  
			
			than to the thermal convective forces in a 
			gravity field 
			  
			
			
			 
			According to Newton's Laws, force results in acceleration. 
			  
			
			Therefore electric fields will result in 
			charged particles' acquiring velocity. Oppositely charged particles 
			will move in opposite directions. An electric current is, by 
			definition, movement of charge past a point. Electric fields 
			therefore cause electric currents by giving charged particles a 
			velocity. 
			 
			If an electric field is strong enough, then charged particles will 
			be accelerated to very high velocities by the field.  
			  
			
			For a little further reading on electric 
			fields see this. 
			  
			  
			
			 
			2.7 Detecting Electric Fields and 
			Currents in Space 
			 
			Electric fields and currents are more difficult to detect without 
			putting a measuring instrument directly into the field, but we have 
			detected currents in the solar system using spacecraft.  
			  
			
			One of the first was the low-altitude 
			polar orbit TRIAD satellite in the 1970s, which found currents 
			interacting with the Earth's upper atmosphere. 
			  
			
			In 1981 Hannes Alfvén described a 
			heliospheric current model in his book, Cosmic Plasma. 
			 
			Since then, a region of electric current called the heliospheric 
			current sheet (HCS) has been found that separates the positive and 
			negative regions of the Sun's magnetic field. It is tilted 
			approximately 15 degrees to the solar equator. During one half of a 
			solar cycle, outward-pointing magnetic fields lie above the HCS and 
			inward-pointing fields below it.  
			  
			
			This is reversed when the Sun's magnetic 
			field reverses its polarity halfway through the solar cycle. As the 
			Sun rotates, the HCS rotates with it, "dragging" its undulations 
			into what NASA terms "the standard Parker spiral". 
			 
			Some links to heliospheric current sheet sites are Wikipedia, NASA, 
			this Mathematica demonstration, and the Belgian Institute of 
			Aeronomy. 
  
			  
			
			
			
			  
			Depiction of the Heliocentric Current Sheet (HCS) around the Sun,
			 
			
			with typical ripples 
			dragged into a spiral configuration. 
			
			Credit: Wiki Commons 
  
			
			 
			Spacecraft have measured changes over time in the current sheet at 
			various locations since the 1980s. They have detected near-Earth and 
			solar currents as well. The Gravity Model accepts that these 
			currents exist in space but assumes they are a result of the 
			magnetic field.  
			  
			
			We will return to this point later. 
  
			  
			
			
			
			  
			A research rocket with SPIRIT II payload containing extendable booms
			 
			
			with Langmuir probes 
			to detect electric fields and ions in near-Earth plasma. 
			 
			
			Image credits: NASA 
			Wallops Flight Facility and Penn State University 
  
			
			 
			Electric fields outside the reach of spacecraft are not detectable 
			in precisely the same way as magnetic fields. 
			  
			
			Line-splitting or broadening in electric 
			fields occurs, but it is asymmetrical line splitting that indicates 
			the presence of an electric field, in contrast to the symmetric line 
			splitting in magnetic fields.  
			  
			
			Further, electric field line broadening 
			is sensitive to the mass of the elements emitting light (the lighter 
			elements being readily broadened or split, and heavier elements less 
			so affected), while Zeeman (magnetic field) broadening is 
			indifferent to mass.  
			  
			
			Asymmetric bright-line splitting or 
			broadening is called the Stark effect, after Johannes Stark 
			(1874–1957). 
  
			  
			
			
			  
			Spectrographic line broadening of helium 
			
			increases with the 
			strength of the electric field through which it passes. 
			 
			
			Heavier elements 
			exhibit less line splitting than lighter ones. 
			
			Image credit: Journal 
			of the Franklin Institute, 1930 
  
			
			 
			Another way in which we can detect electric fields is by inference 
			from the behavior of charged particles, especially those that are 
			accelerated to high velocities, and the existence of electromagnetic 
			radiation such as X-rays in space, which we have long known from 
			Earth-bound experience are generated by strong electric fields. 
			 
			Electric currents in low density plasmas in space operate like 
			fluorescent lights or evacuated Crookes Tubes.  
			  
			
			In a weak current state, the plasma is 
			dark and radiates little visible light (although cold, thin plasma 
			can radiate a lot in the radio and far infrared wavelengths). As 
			current increases, plasma enters a glow mode, radiating a modest 
			amount of electromagnetic energy in the visible spectrum. 
			 
			  
			
			This is visible in the image at the end 
			of this chapter. When electrical current becomes very intense in a 
			plasma, the plasma radiates in the arc mode. Other than scale, there 
			is little significant difference between lightning and the radiating 
			surface of a star's photosphere. 
			 
			This means, of course, that alternative explanations for these 
			effects are also possible, at least in theory.  
			  
			
			The Gravity Model often assumes that the 
			weak force of gravity multiplied by supernatural densities that are 
			hypothesized to make up black holes or neutron stars creates these 
			types of effect. Or maybe particles are accelerated to 
			near-light-speed by supernovae explosions.  
			  
			
			The question is whether "multiplied 
			gravity" or lab-testable electromagnetism is more consistent with 
			observations that the Universe is composed of plasma. 
			 
			The Electric Model argues that electrical effects are not just 
			limited to those parts of the solar system that spacecraft have been 
			able to reach. The Electric Model supposes that similar electrical 
			effects also occur outside the solar system.  
			  
			
			After all, it would be odd if the solar 
			system was the only place in the Universe where electrical effects 
			do occur in space. 
			
			  
			
			  
			
			  
			
			2.8 The Extent of Electromagnetic Fields in 
			Space 
			
			 
			In the Gravity Model, only static magnetic fields are thought to 
			have any effect in space.  
			
			  
			
			The Gravity Model adopts the simplifying 
			assumption that electricity plays no significant part in the 
			dynamics of the Universe and that magnetic fields are 'frozen in' to 
			the plasma - an idea repudiated by the Nobel prize winner, Hannes 
			Alfvén, who first proposed it. In the Gravity Model, the force of 
			gravity rules the behavior of the cosmos. 
			 
			By contrast, in the Electric model, the magnetic fields in space 
			derive from electric currents. 
			
			  
			
			In the Electric Model, the complex 
			interactions among electric currents, magnetic fields, electric 
			fields, and charge separation deeply influence the behavior of 
			matter and energetic events throughout the Universe.  
  
			  
			
			
			
			  
			The Veil Nebula, NGC 6960,  
			
			with its gauzy, 
			glowing filamentary plasma currents  
			
			and current sheets 
			spanning the light years.  
			
			Image credit: T.A. 
			Rector, University of Alaska, Anchorage,  
			
			and Kitt Peak WIYN 
			0.9m telescope/NOAO/AURA/NSF 
			
			  
			
			
			
			Back to Contents 
  
			
			 
			 
			 
			 
			
			
			Chapter 3 - Plasma 
			October 25, 2011 
			  
			
			 
			3.1 Introducing Plasma 
			 
			It is known that space is filled with plasma. In fact, plasma is the 
			most common type of matter in the universe.  
			  
			
			It is found in a wide range of places 
			from fire, neon lights, and lightning on Earth to galactic and 
			intergalactic space. The only reason that we are not more accustomed 
			to plasma is that mankind lives in a thin biosphere largely made up 
			of solids, liquids, and gases to which our senses are tuned. For 
			example, we don't experience fire as a plasma; we see a bright flame 
			and feel heat.  
			  
			
			Only scientific experiments can show us 
			that plasma is actually present in the flame. 
			 
  
			
			  
			
			While plasma studies 
			may focus  
			
			on a single subject 
			such as fusion energy production,  
			
			the understanding of 
			how the Universe operates  
			
			also awaits the 
			student with a wider interest.  
			
			Image credit: 
			DOE-Princeton Plasma Physics Lab; Peter Ginter 
			"Plasma is a collection of charged particles that responds 
			collectively to electromagnetic forces"  
			
			(from the first 
			paragraph in Physics of the Plasma Universe, Anthony Peratt, 
			Springer-Verlag, 1992).  
			  
			  
			
			A plasma region may also contain a 
			proportion of neutral atoms and molecules, as well as both charged 
			and neutral impurities such as dust, grains and larger bodies from 
			small rocky bodies to large planets and, of course, stars. 
			 
			The defining characteristic is the presence of the free charges, 
			that is, the ions and electrons and any charged dust particles. 
			Their strong response to electromagnetic fields causes behavior of 
			the plasma which is very different to the behavior of an un-ionized 
			gas.  
			  
			
			Of course, all particles - charged and 
			neutral - respond to a gravity field, in proportion to its local 
			intensity. As most of the Universe consists of plasma, locations 
			where gravitational force dominates that of electromagnetism are 
			relatively sparse. 
			 
			Because of its unique properties, plasma is usually considered to be 
			a phase of matter distinct from solids, liquids, and gases. It is 
			often called the "fourth state of matter" although, as its state is 
			universally the most common, it could be thought of as the "first" 
			state of matter. 
			 
			The chart below is commonly used to indicate how states change from 
			a thermal point of view. 
			  
			
			The higher the temperature, the higher 
			up the energy ladder with transitions upward and downward as 
			indicated. However, it takes a very high thermal energy to ionize 
			matter. There are other means as well, and an ionized state with 
			charge imbalance can be induced and maintained at almost any 
			temperature. 
			 
			A solid such as a metal electrical cable, once it is connected in an 
			electrical circuit with a sufficiently high electrical voltage 
			source (battery; powerplant) will have its electrons separated from 
			the metal nuclei, to be moved freely along the wire as a current of 
			charged particles. 
			 
			A beaker of water with a bit of metallic salt, such as sodium 
			chloride, is readily ionized. If an electric voltage is applied via 
			a positive and a negative wire, the hydrogen and oxygen atoms can be 
			driven to the oppositely charged wires and evolve as the gaseous 
			atoms they are at room temperature.  
			  
			
			Such stable, neutral states are a part 
			of an electric universe, but this Guide will focus more on 
			investigating the state of plasma and electric currents at larger 
			scales, in space. 
			 
			A molecular cloud of very cold gas and dust can be ionized by nearby 
			radiating stars or cosmic rays, with the resulting ions and 
			electrons taking on organized plasma characteristics, able to 
			maintain charge and double layers creating charge separation and 
			electrical fields with very large voltage differentials. Such plasma 
			will accelerate charges and conduct them better than metals. 
			 
			  
			
			Plasma currents can result in sheets and 
			filamentary forms, two of the many morphologies by which the 
			presence of plasma can be identified. 
  
			  
			
			  
			Four states or phases of matter , and the transitions between them.
			 
			
			Note the similarity 
			to the early Greek "primary elements"  
			
			of Earth, water, air 
			and fire.  
			
			It is clear that 
			plasma is the state with the highest energy content.  
			
			Open question: From 
			where in space does this energy come? 
			
			Image credit: 
			Wikimedia Commons 
  
			
			 
			The proportion of ions is quantified by the degree of ionization. 
			The degree of ionization of a plasma can vary from less than 0.01% 
			up to 100%, but plasma behavior will occur across this entire range 
			due to the presence of the charged particles and the charge 
			separation typical of plasma behavior. 
			 
			Plasma is sometimes referred to merely as an "ionized gas". 
			 
			  
			
			While technically correct, this 
			terminology is incomplete and outdated. It is used to disguise the 
			fact that plasma seldom behaves like a gas at all. In space it does 
			not simply diffuse, but organizes itself into complex forms, and 
			will not respond significantly to gravity unless local 
			electromagnetic forces are much weaker than local gravity. 
			 
			  
			
			Plasma is not matter in a gas state; it 
			is matter in a plasma state. 
			 
			The Sun's ejection of huge masses of "ionized gas" (plasma) as 
			prominences and coronal mass ejections against its own powerful 
			gravity serves to illustrate this succinctly. The solar 'wind' is 
			plasma, and consists of moving charged particles, also known as 
			electric current. It is not a fluid, or a 'wind', or a 'hot gas', to 
			put it in plain terms.  
			  
			
			Use of other words from fluid dynamics 
			serves to obfuscate the reality of electric currents and plasma 
			phenomena more powerful than gravity, around us in space, as far 
			away as we can observe. 
  
			  
			
			  
			Do gravitational forces explain how millions of tons of feathery 
			plasma 
			filaments are accelerated off the Sun's surface and into the solar 
			system? 
			Credit: far ultraviolet image by NASA Solar Dynamics Observatory 
  
			  
			  
			
			3.2 Ionization 
			 
			We know that space is filled with fields, a variety of particles, 
			many of which are charged, and collections of particles in size from 
			atoms to planets to stars and galaxies.  
			  
			
			Neutral particles - that is, atoms and 
			molecules having the same number of protons as electrons, and 
			neglecting anti-matter in this discussion - can be formed from 
			oppositely charged particles.  
			  
			
			Conversely, charged particles may be 
			formed from atoms and molecules by a process known as ionization. 
			 
			If an electron - one negative charge - is separated from an atom, 
			then the remaining part of the atom is left with a positive charge. 
			The separated electron and the remainder of the atom become free of 
			each other. This process is called ionization. The positively 
			charged remainder of the atom is called an ion.  
			  
			
			The simplest atom, hydrogen, consists of 
			one proton (its nucleus) and one electron. If hydrogen is ionized, 
			then the result is one free electron and one free proton. A single 
			proton is the simplest type of ion. 
			 
			If an atom heavier than hydrogen is ionized, then it can lose one or 
			more electrons.  
			  
			
			The positive charge on the ion will be 
			equal to the number of electrons that have been lost. Ionization can 
			also occur with molecules. It can also arise from adding an electron 
			to a neutral atom or molecule, resulting in a negative ion. Dust 
			particles in space are often charged, and the study of the physics 
			of dusty plasmas is a subject of research in many universities 
			today.  
			  
			
			Energy is required to separate atoms 
			into electrons and ions - see the chart below. 
  
			  
			
			  
			First ionization energy  
			
			versus elements' 
			atomic numbers.  
			
			Image credit: 
			Wikimedia Commons,  
			
			edited to add 
			temperatures along the right axis 
  
			
			 
			Notice the repetitive pattern of the chart: an alkali metal has a 
			relatively low ionization energy or temperature (easy to ionize).
			 
			  
			
			As you move to the right, increasing the 
			atomic number - the number of protons in the nucleus of the atom - 
			the energy required to ionize each 'heavier' atom increases. It 
			peaks at the next "noble gas" atom, followed by a drop at the next 
			higher atomic number, which will be a metal again. Then the pattern 
			repeats. 
			 
			It is interesting to note that hydrogen, the lightest element, is 
			considered a 'metal' in this electric and chemical context, because 
			it has a single electron which it readily "gives up" in its outer 
			(and only) electron orbital.  
			  
			
			Common terminology in astronomy, in the 
			context of the component elements in stars, is that hydrogen and 
			helium are the 'gases' and all the other elements present are 
			collectively termed 'metals'. 
			  
			  
			
			 
			3.3 Initiating and Maintaining 
			Ionization 
			 
			The energy to initiate and maintain ionization can be kinetic energy 
			from collisions between energetic particles (sufficiently high 
			temperature), or from sufficiently intense radiation.  
			  
			
			Average random kinetic energy of 
			particles is routinely expressed as temperature, and in some very 
			high velocity applications as electron-volts (eV). To convert 
			temperature in kelvins (K) to eV, divide K by 11604.5. Conversely, 
			multiply a value in eV by that number to get the thermal equivalent 
			temperature in K. 
			 
			The chart above represents the ionization energy required to strip 
			the first, outermost electron from an atom or molecule.  
			  
			
			Subsequent electrons are more tightly 
			bound to the nucleus and their ionization requires even higher 
			energies. Several levels of electrons may be stripped from atoms in 
			extremely energetic environments like those found in and near stars 
			and galactic jets.  
			  
			
			Importance: These energetic plasmas are 
			important sources of electrons and ions which can be accelerated to 
			extremely high velocities, sources of cosmic rays and synchrotron 
			radiation at many wavelengths. Cosmic ray links to cloud cover 
			patterns affecting our global climate are reported in Henrik 
			Svensmark's book, The Chilling Stars. 
			 
			Temperature is a measure of how much random kinetic energy the 
			particles have, which is related to the rate of particle collisions 
			and how fast they are moving. The temperature affects the degree of 
			plasma ionization.  
			  
			
			Electric fields aligned (parallel) with 
			local magnetic fields ("force-free" condition) can form in plasma. 
			Particles accelerated in field-aligned conditions tend to move in 
			parallel, not randomly, and consequently undergo relatively few 
			collisions. The conversion of particle trajectories from random to 
			parallel is called "dethermalization".  
			  
			
			They are said to have a lower 
			"temperature" as a result. Analogy: think of the vehicular motion in 
			a "destruction derby" as "hot", collision-prone random traffic, and 
			freeway vehicular movement in lanes as "cool", low-collision, 
			parallel aligned traffic. 
			 
			In a collision between an electron and an atom, ionization will 
			occur if the energy of the electron (the electron temperature) is 
			greater than the ionization energy of the atom. Equally, if an 
			electron collides with an ion, it will not recombine if the electron 
			has enough energy.  
			  
			
			One can visualize this as the electron's 
			having a velocity greater than the escape velocity of the ion, so it 
			is not captured in an orbit around the ion. 
			
			 
			Electron temperatures in space plasmas can be in the range of 
			hundreds to millions of kelvins. Plasmas can therefore be effective 
			at maintaining their ionized state. A charge-separated state is 
			normal in space plasmas. 
			
			  
			
			Other sources of ionization energy 
			include high-energy cosmic rays arriving from other regions, and 
			high-energy or "ionizing" radiation such as intense ultraviolet 
			light incident upon the plasma from nearby stars or energetic 
			radiative processes created within the plasma itself.  
			  
			  
			
			
			  
			Highly energetic processes are observed in nebula NGC 3603: 
			
			blue supergiant Sher 
			25 with toroidal ring and bipolar jets, upper center; 
			 
			
			arc and glow mode 
			plasma discharges as emission nebula (yellow-white areas); 
			 
			
			clustered hot blue 
			Wolf-Rayet and young O-type stars,  
			
			with electric 
			filaments and sheets throughout the dusty plasma regions of the 
			nebula. 
			
			Image credit: W. 
			Brandner (JPL/IPAC), E. Grebel (U. of Washington),  
			
			You-Hua Chou (U. of 
			Illinois, Urbana-Champaign),  
			
			and NASA Hubble Space 
			Telescope 
  
			
			 
			In Big Bang cosmology, it is thought that there is not enough energy 
			in the Universe to have created and maintained significant numbers 
			of "loose" ions and electrons through ionization, and therefore they 
			cannot exist.  
			  
			
			On the other hand, whenever ions and 
			electrons combine into atoms, energy is given off. In the Big Bang 
			Model, protons and electrons are thought to have been created before 
			atoms, so an enormous amount of energy must have been released 
			during the formation of the atoms in the Universe. 
			  
			
			It seems possible that if the Big Bang 
			Model is correct, then this energy would still be available to 
			re-ionize large numbers of atoms. Alternatively, it seems possible 
			that not all protons and electrons combined into atoms after the Big 
			Bang. 
			 
			Note that the Electric Model does not rely on the Big Bang Model.
			 
			  
			
			The Electric Model simply says that we 
			detect ions and electrons everywhere we have looked; so they do 
			exist, probably in large numbers. Telescopes which "see" in high 
			energy photons, such as Chandra (X-ray) and EIT, Extreme Ultraviolet 
			Imaging Telescope on the SOHO solar observation spacecraft, attest 
			to the presence of ionizing energy sources in the Universe, near and 
			far.  
			  
			
			To suggest that mobile ions and 
			electrons can't exist in large numbers because, theoretically, there 
			isn't enough energy to have created them is as erroneous as arguing 
			that the Universe can't exist for the same reason. 
			  
			  
			
			 
			3.4 Plasma Research 
			 
  
			
			
			  
			
			Norwegian scientist 
			Kristian Birkeland (1867-1917) 
			
			with his Terella 
			("Little Earth),  
			
			an evacuated 
			electromagnetic plasma simulator,  
			
			circa 1904 
  
			
			 
			Although plasma may not be common in Earth's biosphere, it is seen 
			in lightning in its many forms, the northern and southern auroras, 
			sparks of static electricity, spark plug igniters, flames of all 
			sorts (see Chapter 2, ¶2.6), in vacuum tubes (valves), in electric 
			arc welding, electric arc furnaces, electric discharge machining, 
			plasma torches for toxic waste disposal, and neon and other 
			fluorescent lighting tubes and bulbs. 
			 
			Plasma behavior has been studied extensively in laboratory 
			experiments for over 100 years. 
			  
			
			There is a large body of published 
			research on plasma behavior by various laboratories and professional 
			organizations, including the Institute of Electrical and 
			Electronics Engineers (IEEE), which is the largest technical 
			professional organization in the world today.  
			  
			
			The IEEE publishes a journal, 
			Transactions on Plasma Science. 
			 
			We will be relying on much of this research when explaining plasma 
			behavior in the rest of this Guide. One point to bear in mind is 
			that plasma behavior has been shown to be scalable over many orders 
			of magnitude.  
			  
			
			That is, we can test small-scale 
			examples of plasma in the laboratory and know that the observable 
			results can be scaled up to the dimensions necessary to explain 
			plasma behavior in space. 
  
			  
			
			  
			Experimental 
			plasma vacuum chamber  
			
			in Dr. Paul Bellan's 
			Plasma Physics Group lab 
			
			at the California 
			Institute of Technology, USA; circa 2008.  
			
			Image credit: Cal 
			Tech 
			  
			  
			
			 
			3.5 Plasma and Gases 
			 
			Due to the presence of its charged particles, that is, ions, 
			electrons, and charged dust particles, cosmic plasma behaves in a 
			fundamentally different way from a neutral gas in the presence of 
			electromagnetic fields. 
			 
			Electromagnetic forces will cause charged particles to move 
			differently from neutral atoms. Complex behavior of the plasma can 
			result from collective movements of this kind. 
			 
			A significant behavioral characteristic is plasma's ability to form 
			large-scale cells and filaments. In fact, that is why plasma is so 
			named, due to its almost life-like behavior and similarities to 
			cell-containing blood plasma. 
			 
			The cellularization of plasma makes it difficult to model 
			accurately.  
			  
			
			The use of the term 'ionized gas' is 
			misleading because it suggests that plasma behavior can be modeled 
			in terms of gas behavior, or fluid dynamics. It cannot except in 
			certain simple conditions. 
			 
			Alfvén and Arrhenius in 1973 wrote in Evolution of 
			the Solar System: 
			
				
				"The basic difference [of approaches 
				to modeling] is to some extent illustrated by the terms ionized 
				gas and plasma which, although in reality synonymous, convey 
				different general notions. 
				  
				
				The first term gives an impression 
				of a medium that is basically similar to a gas, especially the 
				atmospheric gas we are most familiar with. In contrast to this, 
				a plasma, particularly a fully ionized magnetized plasma, is a 
				medium with basically different properties." 
			 
			  
			
			 
			3.6 Conduction of electricity 
			 
			Plasma contains dissociated charged particles which can move freely.
			 
			  
			
			Remembering that, by definition, moving 
			charges constitute a current, we can see that plasma can conduct 
			electricity. In fact, as plasma contains both free ions and free 
			electrons, electricity can be conducted by either or both types of 
			charge. 
			 
			By comparison, conduction in a metal is entirely due to the movement 
			of free electrons because the ions are bound into the crystal 
			lattice. This means plasma is an even more efficient conductor than 
			metals, as both the electrons and their corresponding ions are 
			considered free to move under applied forces. 
			 
			The efficiency of plasma conduction in compact fluorescent lights 
			has rapidly replaced most metal filament (resistance heating) light 
			sources 
  
			  
			  
			
			3.7 Electrical Resistance of Plasmas 
			 
			In the Gravity Model, plasma is often assumed for simplicity to be a 
			perfect conductor with zero resistance.  
			  
			
			However, all plasmas have a small but 
			nonzero resistance. This is fundamental to a complete understanding 
			of electricity in space. Because plasma has a small nonzero 
			resistance, it is able to support weak electric fields without 
			short-circuiting. 
			 
			The electrical conductivity of a material is determined by two 
			factors: the density of the population of available charge carriers 
			(the ions and electrons) in the material and the mobility (freedom 
			of movement) of these carriers. 
			 
			In space plasma, the mobility of the charge carriers is extremely 
			high because, due to the very low overall particle density and 
			generally low ion temperatures, they experience very few collisions 
			with other particles.  
			  
			
			On the other hand, the density of 
			available charge carriers is also very low, which limits the 
			capacity of the plasma to carry the current. 
			 
			Electrical resistance in plasma, which depends on the inverse of the 
			product of the charge mobility and the charge density, therefore has 
			a small but nonzero value. 
			 
			Because a magnetic field forces charged particles moving across the 
			field to change direction, the resistance across a magnetic field is 
			effectively much higher than the resistance in the direction of the 
			magnetic field. This becomes important when looking at the behavior 
			of electric currents in plasma. 
			 
			Although plasma is a very good conductor, it is not a perfect 
			conductor, or superconductor. 
			  
			  
			
			 
			3.8 Creation of Charge Differences 
			 
			Over a large enough volume, plasma tends to have the same number of 
			positive and negative charges because any charge imbalance is 
			readily neutralized by the movement of the high-energy electrons.
			 
			  
			
			So the question arises, how can 
			differently charged regions exist, if plasma is such a good 
			conductor and tends to neutralize itself quickly? 
			 
			On a small scale, of the order of tens of meters in a space plasma, 
			natural variations will occur as a result of random variations in 
			electron movements, and these will produce small adjacent regions 
			where neutrality is temporarily violated. 
			 
			On a larger scale, positive and negative charges moving in a 
			magnetic field will automatically be separated to some degree by the 
			field because the field forces positive and negative charges in 
			opposite directions. This causes differently charged regions to 
			appear and to be maintained as long as the particles continue to 
			move in the magnetic field. 
			 
			Separated charge results in an electric field, and this causes more 
			acceleration of ions and electrons, again in opposite directions. In 
			other words, as soon as some small inhomogeneities are created, this 
			rapidly leads to the start of more complex plasma behavior. 
			 
			Moving through Jupiter's intense magnetic field creates strong 
			charge separation (voltage differential) and a resulting electrical 
			current in a circuit of some 2 trillion watts power flowing between 
			Io and Jupiter's polar areas 
			 
			Over all scales, the signature filamentation and cellularization 
			behavior of plasma creates thin layers where the charges are 
			separated. Although the layers themselves are thin, they can extend 
			over vast areas in space. 
			  
			  
			
			 
			3.9 Important Things to Remember About 
			Plasma Behavior 
			 
			The essential point to bear in mind when considering space plasma is 
			that it often behaves entirely unlike a gas. The charged particles 
			which are the defining feature of a plasma are affected by 
			electromagnetic fields, which the particles themselves can generate 
			and modify. 
			 
			In particular, plasma forms cells and filaments within itself, which 
			is why it came to be called plasma, and these change the behavior of 
			the plasma, like a feedback loop. 
			 
			Plasma behavior is a little like fractal behavior. Both are complex 
			systems arising from comparatively simple rules of behavior. Unlike 
			fractals, though, plasma is also affected by instabilities, which 
			add further layers of complexity. 
			 
			Any theoretical or mathematical model of the Universe that does not 
			take into account that complexity, is going to miss important 
			aspects of the system's behavior and fail to model it accurately. 
			 
			
			
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