Correction? Does the sun stop to have a correction?
Ok, awake now, time to repeat myself. One, the velocity you came up with is an order of magnitude too big. Two, gravity acts whether or not the Sun moves: it's pulling in just as much.
Thank you for the new resource, but that video adds to what I was planning to say. There are several forces at work, rather than just gravity or just the centripetal force. Let's compare.
Outwards forces: centripetal (which is calculated by mv
2/r, so clearly the huge radius the Sun possesses will make the force less than you seem to suppose), and the (negligible) gravity of other celestial objects.
Inwards forces: gravity. There's also a frictional force to lessen motion.
Then we get onto fluid dynamics. The Sun is not a solid, like the Earth: the two cannot be compared at all. Fluid dynamics is a very specific branch of mechanics. One result of this is the fact that, as a fluid, different parts of the Sun rotate at different rates: we observe this with, for example, the poles rotating far slower than the equator. One possible explanation for your roundness is that this occurs inside the Sun as well, which is entirely reasonable: and differing rates of acceleration will completely alter the model you've proposed. In addition, you have to deal with the effects the extreme heat conditions will have, and the incredible magnetic field of the Sun.
What you've given is an oversimplification. That's not going to give a completely accurate picture, nor will it ever.
Further, you're making an argument from ignorance: the fact we don't know the details of something, does not mean everything we know is wrong.
There are multiple possible explanations, none of which require assumptions: it's just not exactly the easiest thing to send a probe for a dip inside the Sun to figure out which is the case. From what a little bit of research unearthed, the two main contenders are the varying rotational rate of fluid, and the effects a magnetic field has on plasma (gas ionized by extreme heat). The latter seems to be the most popular: and you can't reject it just because you'd rather make a post on a forum complaining about science.
Your argument is that it's
impossible, not that it's unexplained: clearly, that's simply untrue.