I’ve heard that the sun is only 31 miles in diameter. If this is the case, what’s it made of, what keeps it burning, and how long has it been burning, and how long will the fuel last ?
There has never been an FE answer to this question that I'm aware of other than the slightly silly (imo) suggestions of one user that the sun is replaced every so often by unknown methods and entities. Otherwise it's simply "we don't know and nether do you because you can't reproduce stellar fusion in a lab".
Well, we can look at the spectrum of light from the sun and spectral lines from hydrogen fusion here on Earth and find that they both are the same - and that they match perfectly the spectral lines calculated from Quantum Theory. So there is no doubt that sunlight is caused by the nuclear fusion of hydrogen.
What does this mean? The sun is radiating essentially a blackbody spectrum, with absorbtion lines that indicate the presence of H and He - what's the "spectrum of hyrdogen fusion"? The fusion in the sun occurs deep within and all gamma rays are absorbed by the sun. What we see is just thermal emission from the photosphere.
Are you thinking of the neutrino flux? That confirms fusion of different kinds:
https://en.wikipedia.org/wiki/Solar_neutrinoThis image is particularly cool:
Since we can calculate the total energy of sunlight arriving on Earth, we can deduce the total energy coming from the sun - from that we can use good old E=mc^2 to calculate the amount of mass being consumed in the sun every second. For RET that number is 4 million tonnes per second.
Given the solar constant of 1370 W/m^2, and the round-earth model radius of earth of 3959 miles (sorry I keep using miles for that, it's just stuck in my head), The total solar energy flux hitting the earth is:
pi * (3959 miles)^2 * 1370 W/m^2which is
1.75 × 10^17 watts
If that's our E for E=mc^2, then we divide by c^2 to get mass annihilated per second:
(pi * (3959 miles)^2 * 1370 W/m^2)/c^2This is about 2 kg/s.
That is NINE ORDERS OF MAGNITUDE DIFFERENT from what you got, so one of us is about as wrong as it's possible to be using math.
Maybe it's me? How did you calculate this?
HOWEVER: Almost all of the energy produced by the RET sun shines out into deep space - only a VERY tiny fraction reaches Earth. If FET were to be believed, then at most about half of the energy would be radiated out into space - and half onto the Earth - which would allow them to have a much MUCH smaller sun. I haven't crunched the numbers to know what that would be.
BUT: There is a big problem. To maintain hydrogen fusion requires immense pressures - and a 31 mile sun would have VASTLY too little gravity to keep the reaction contained with enough pressure to do that. The smallest possible gravitationally contained fusion reaction requires an object about 15 times the mass of Jupiter - which would be about 100,000 miles across.
So if the FET sun is doing hydrogen fusion (as it's spectral lines clearly prove) - then there must be some force other than gravity keeping the hydrogen under sufficient pressure to maintain fusion.
We know the surface temperature of the sun is enough to vaporize any solid material - so it's not a physical barrier. That leaves electromagnetism - an "electromagnetic bottle". If the sun had that much electromagnetism and was only 3,000 miles away, compasses would point towards the sun and not towards the North pole.
According to this
https://www.iter.org/mach/magnets - the strong magnets in that tokamak are about 12 Tesla, and measure 9 by 17 meters. So the distance at which the field is that strong is at most about 5 meters.
Magnetic fields vary with the cube of the distance (because they are dipole fields, not monopole fields) and so such a magnet at a distance of 3000 miles would give a field strength of
12 Tesla * (5 m)^3 / (3000 miles)^3 in gauss
1.33× 10^-13 gauss
(to check these calculations, the equations are formatted in a way you can just paste them into Google or Wolfram Alpha.)
But let's say we need a magnet that is just as strong, but big enough to exert that
force field over the entire 31 mile size of the sun. So, it's generating 12 teslas at 15.5 miles (imagine a ring magnet exerting that force on the center of the sun.)
12 Tesla * (15.5 miles)^3 / (3000 miles)^3 in gauss
0.017 gauss
According to wikipedia, the Earth's magnetic field is at least .25 gauss, and up to .65 gauss, which is still more than enough for compasses to work.
Worse still, the spectrum of light from a vast number of stars ALSO matches that same exact spectrum...meaning that they too are nuclear fusion reactors. Some stars are much larger or much smaller than the sun - so they are fusing other materials such as Helium or even Carbon (literally "diamonds in the sky")...their spectral lines match theoretical predictions too...but it's hard to do fusion of anything other than hydrogen...so a direct comparison cannot be made.
FET seems to suggest that stars are relatively small objects - smaller even than the sun...but it's one of those things where there is not widespread agreement among FE'ers - so maybe those are also 31 miles across - but much MUCH further away.
As usual, FET makes no sense and is inconsistent with all known science.
So magical pixies cause the sun to shine and it's probably made of particularly good Swiss chocolate?
Again, the spectral emissions from stars is a blackbody spectrum, not a "fusion" spectrum. It's been a while since my stellar astrophysics classes, but I'm pretty sure the modeling we have for other stars is based on our model for the sun. The only direct evidence we have for fusion in the sun is, if I understand right, neutrino flux at earth. Indirect evidence is us observing fusion here on earth and doing math to figure the conditions inside the sun and by extension, other stars.
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EDIT: replaced an incorrect word with strikethrough + correct word.