I have spent some time studying the behavior of stars and other celestial objects, and comparing them with various Flat Earth cosmologies, and I see no way in which they contradict.
The idea of stars being giant spheres of gas is simply ridiculous. I prefer a much simpler, yet far more likely scenario: Sonoluminescence.
Let us first take a look at the cosmology of the Universe.
"Deep space" does not exist, as all Flat Earthers probably agree with. Stars are simply fixed to the firmament, some would say.
However, I believe the firmament is not the outermost layer of the world. Let's look at the evidence:
Genesis 7:11
"In the six hundredth year of Noah’s life, on the seventeenth day of the second month—on that day all the springs of the great deep burst forth, and the
floodgates of the heavens were opened."
Genesis 8:2
"Now the springs of the deep and the
floodgates of the heavens had been closed, and the rain had stopped falling from the sky."
The Bible mentions these
floodgates often, suggesting that there is a canopy of water above the Earth. This water lies above the firmament, which protects us from this water.
The stars are not fixed to the firmament; they are
submerged in this Celestial Sea. They are not burning gas; they are lights created by implosions in oxygen bubbles in water, caused by sound waves. This effect is often observed right here on Earth, and it looks like this:
The creator of that particular video, Seth Putterman, called it the "Star in a jar", and referred to it as looking like "a star in the heavens."
There is an explanation of stars, and it is NOT what the heliocentrist want you to know.