I've done some quantitative calculations based on this model, and I'd like to share them with you; the sources I used - other than the one for the hypothesis itself - will be given in my next post.Don Scott wrote:The Electric Sun Hypothesis
The Basics
In this day and age there is no longer any doubt that electrical effects in plasmas play an important role in the phenomena we observe on the Sun. The major properties of the "Electric Sun (ES) model" are as follows:
-> Most of the space within our galaxy is occupied by plasma (rarefied ionized gas) containing electrons (negative charges) and ionized atoms (positive charges). Every charged particle in the plasma has an electric potential energy (voltage) just as every pebble on a mountain has a mechanical potential energy with respect to sea level. The Sun is surrounded by a plasma cell that stretches far out - many times the radius of Pluto. These are facts not hypotheses.
-> The Sun is at a more positive electrical potential (voltage) than is the space plasma surrounding it - probably in the order of 10 billion volts.
-> Positive ions leave the Sun and electrons enter the Sun. Both of these flows add to form a net positive current leaving the Sun. This constitutes a plasma discharge analogous in every way (except size) to those that have been observed in electrical plasma laboratories for decades. Because of the Sun's positive charge (voltage), it acts as the anode in a plasma discharge. As such, it exhibits many of the phenomena observed in earthbound plasma experiments, such as anode tufting. The granules observed on the surface of the photosphere are anode tufts (plasma in the arc mode).
-> The Sun may be powered, not from within itself, but from outside, by the electric (Birkeland) currents that flow in our arm of our galaxy as they do in all galaxies. This possibility that the Sun may be exernally powered by its galactic environment is the most speculative idea in the ES hypothesis and is always attacked by critics while they ignore all the other explanatory properties of the ES model. In the Plasma Universe model, these cosmic sized, low-density currents create the galaxies and the stars within those galaxies by the electromagnetic z-pinch effect. It is only a small extrapolation to ask whether these currents remain to power those stars. Galactic currents are of low current density, but, because the sizes of the stars are large, the total current (Amperage) is high. The Sun's radiated power at any instant is due to the energy imparted by that amperage. As the Sun moves around the galactic center it may come into regions of higher or lower current density and so its output may vary both periodically and randomly.
The Sun emits electromagnetic radiation, pretty much isotropically, and at a very stable, unvarying rate; the total energy of this radiation is 3.85 x 10^26 J/sec.
In the Electric Sun hypothesis, this energy comes from an electric current, comprised of incoming ("entering") electrons and outgoing ("leaving") positive ions; let's look at the electrons.
The maximum average energy that an electron in this (Birkeland) current can deliver to the Sun - to be converted somehow into light - is ~1 MeV, which is 1.6 x 10^-13 J (MeV is a unit of energy).
Why?
Because if it were much greater than this, a significant fraction of such electrons would generate electron-positron pairs (through collisions with matter in the photosphere), which would in turn result in emission of 511 keV gamma rays (electron-positron 'annihilation radiation'); the Sun does not emit much of such radiation, certainly far less than that which would be produced by huge numbers of electrons with >1.02 MeV of kinetic energy (see below for details).
To produce 3.85 x 10^26 J of energy, the current needs to deliver ~1.6 x 10^39 electrons (of average kinetic energy 1 MeV) to the Sun, every second.
Where do the electrons come from, the ones which end up powering the Sun?
The Electric Sun hypothesis is rather vague on that, but this suggests that it is in the vicinity of the heliopause: "The planets and their moons each carry an electric charge as they travel through this plasma.The plasma sea in which the solar system floats extends out to what is called the heliopause - where there is probably a double layer that separates our Sun's plasma from the lower voltage plasma that fills our arm of the Milky Way galaxy."
Scott correctly points out that in situ measurements of the properties of the heliopause are few indeed; however, from data returned from Voyager, the following seem reasonable (and are consistent with various, indirect, estimates):
* electron density: 0.001 per cubic cm
* distance from the Sun: 80 au (astronomical units)
* bulk speed: 100 km/s (the Voyager data says away from the Sun, but let's assume it's towards the Sun)
* motion of heliosphere relative to the local interstellar medium (LISM): 20 km/s (this comes from other sources, not Voyager).
If all the incoming electrons, crossing the heliopause/heliosheath/termination shock (or exiting the double layer there) end up entering the Sun, how many electrons would that be?
Approximately 1.8 x 10^35, per second. Which is some four orders of magnitude (a factor of ~10,000) too few. But maybe that's OK; maybe the numbers could be tweaked somehow, some fudge factors added, to bring this estimate closer to ~1.6 x 10^39.
Some tweaks won't work though; for example assuming the average kinetic energy of the electrons is significantly less than ~1 MeV would mean more electrons would be needed, making the gap between demand and supply even greater; including the energy lost due to the kinetic energy of the departing positive ions would likewise make the gap bigger, not smaller.
An interlude: 511 keV gamma rays, and current
If each incoming electron in the current that powers the Electric Sun produced just one outgoing 511 keV gamma ray, then the number we'd see, at 1 au from the Sun (out in space of course!) would be ~6 x 10^11 per square centimetre per second. The space probes (e.g. RHESSI) which have observed (and are continuing to observe) gamma-rays, of this energy, have detected peak counts of ~100-1,000 (per square centimetre per second), during really big flares (the 'quiet Sun' values are essentially zero). Clearly, there can't be very many >1.02 MeV electrons in the incoming current!
The current flowing to the Sun is at least 2 x 10^20 A (from the electrons alone, assuming ~1 MeV electrons), which works out to ~42 Amps per square metre, on average.
An exploding Sun?
1.6 x 10^39 electrons is a lot of electrons. In the Electric Sun hypothesis, all those entering the Sun stay there. This produces an interesting result: if this number of electrons were to be distributed evenly throughout the top metre of the photosphere, that layer of the Sun would explode. Violently.
Why?
This number of electrons, distributed that way, would mean each was <~0.2 microns from its nearest neighbour. Now we all know that the electromagnetic force is many, many orders of magnitude (OOM) greater (stronger) than gravity - for a pair of electrons it's ~39 OOM - so the mutual repulsion of the electrons, that close to each other, would overwhelm the gravitational pull on them of all the mass in the Sun ... by >13 OOM.
Boom!
Looks like the Electric Sun hypothesis is between a rock (energy output of the Sun) and a hard place (unobserved side effects of that energy being supplied by an electric current - electrons entering the Sun).
But perhaps my numbers, or calculations (or both), are wrong; can you, dear reader, find any significant errors of either kind?
Next: sources, and more details of the calculations (if anyone would like to see them; they involve little more than arithmetic).

