Response to Sol88 (#3311)
Ummm...... that's where we run into problems again.. because
Sunspots
In the plasma of the photosphere, both the dimensions of, and the voltages within the granules, depend on the current density at that location (near the Sun's anode surface). The existence of the double layer of electric charge associated with each granule (separating it from the corona plasma above it) requires a certain numerical relationship between +ion and electron numbers in the total current. This required ratio of electron to ion motion was discovered, quantified, and reported by Irving Langmuir over fifty years ago. Spicules, tall jets of electrons that emanate from the boundaries between granules, supply many of those needed electrons. In this Electric Sun model, as with any plasma discharge, the granular cells disappear wherever the flux of incoming electrons impinging onto a given area of the Sun's anode surface is not sufficiently strong to require the augmentation of anode size they provide. At any such location, the photospheric cells collapse and we can see down to the actual anode surface of the Sun. Since there is no arc mode plasma discharge occurring in these locations, they appear darker than the surrounding area and are termed 'sunspot umbrae'. Of course, if a tremendous amount of energy were actually being produced in the Sun's interior, these umbrae should be brighter and hotter than the surrounding photosphere. The fact that sunspot umbrae are dark and relatively cool (3000-4000 K or 2727-4227 °C) strongly supports the contention that very little, if anything, in the way of heat production is going on in the Sun's interior.
The idea that sunspots were holes in the solar surface that revealed a cooler interior (possibly even inhabited!) was a popular idea in the 1800s. But it was an idea that fell apart with better instruments, and better models.
Funny how so many Electric Universe notions tie back to the 1800s and earlier - pre-spaceflight, pre-airplane, pre-nuclear energy. I've occasionally described EU as the Steampunks of astronomy, though the Steampunks might be offended. ;^)
But the most successful model of sunspots is part of the thermal energy in the solar plasma gets exchanged with magnetic field energy. A simple energy budget analysis between thermal and magnetic energy densities gives some support for this hypothesis:
[latex]$$U = {B_1^2 \over {2 \mu_0}} + n_1 k T_1 = {B_2^2 \over {2 \mu_0}} + n_2 k T_2$$[/latex]
(is the LaTeX equation generator not working?)
First, determine the energy density with no sunspots. We need a particle density, and since in the standard model, sunspots originate just below the photosphere, we can choose a density of about 1e24 hydrogen atoms per cubic meter (about 1.7e-3 kg/m^3 = 1.7e-6 gm/cm^3). Since this hydrogen is mostly ionized, we have two particles per atom, so n_1 and n_2 are 2e24 particles/m^3. A photospheric temperature of 5800K with an average magnetic field of about zero for no sunspots gives an energy density of:
(0 Tesla)^2/2 mu_0 + (2e24 particles/m^3)*(1.3806503e-23 m^2 kg s-2 K-1)*(5800K) = 1.6e5 joules/m^3
With a sunspot temperature of 3500K, we can then solve for a magnetic field energy density in the spot:
1.6e5 Joules/m^3 - (2e24 particles/m^3)*(1.3806503e-23 m^2 kg s-2 K-1)*(3500K) = 6.33e4 joule/m^3
and therefore the magnetic field:
B = sqrt(Ub*2*mu_0)
= sqrt((6.33e4 joules/m^3)*2*(1.25663706e-6 m kg /s^2/A^2))
= 0.4 Tesla = 4000 gauss
This result is within about a factor of 2 of values we get from the Zeeman effect in sunspots (about 2500 gauss)!
It isn't proof, but it demonstrates a correlation between measured physical quantities which are important for good science. It means the energy needed for the magnetic field in sunspots can come predominantly from the plasma thermal energy. This treatment of the temperature-magnetic field correlation apparently originates from around the 1950s, though I've yet to find the original publication suggesting it.
This is better consistency between measured quantities than I've seen from any Electric Sun model, as I have documented.
Challenges for Electric Universe 'Theorists'.... The Thornhill model gives a whopping big magnetic field compared to what we measure, sufficient that induced voltages would fry an orbiting spacecraft; and the Scott model generates a deadly particle environment.
The standard model sunspot has been simulated in much greater detail and achieved substantial additional success with modern plasma simulations:
UCAR: Sunspots revealed in striking detail by supercomputers
ADS: Radiative Magnetohydrodynamic Simulation of Sunspot Structure
YouTube: Two sunspots simulated in 3D by model data, viewed from above and in cross section below the surface
YouTube: Sunspots Umbra and Penumbra
So where's the equivalent sunspot simulation from the Electric Sun model?