As you said, the right brain dominates people's imagination and their ability to control graphics and sounds.
it's not that there is something wrong with your thinking, but that you are sensitive to something. Maybe you have a good sense of music, and you have a good grasp of rhythm and melody. These are all your characteristics, nothing strange. But I hope you just regard it as your uniqueness, and don't pursue and pay too much attention to it. On the other hand, your narrative seems to reflect that you can't concentrate very much. This may be because you don't have a clear goal in your current life.
I don't think your problem is necessarily a medical problem, but it is more likely to be a problem of life and study habits and emotional adjustment. Maybe you are a person with a rich inner world, who likes to think and fantasize. This mode of thinking for a long time will make your feelings sharp. There is nothing wrong with this, but if it is too much, it may affect normal study and life.
if you are not interested in music, you may have to consider whether you have compulsive thinking. I think you might be a little. You can try this method: study in an environment full of music, don't try to overcome your uncomfortable feeling, if your attention is distracted by music, let it be distracted. Think of it as a natural thing, because everyone will be distracted by the outside voice, but you are a little stronger. So, you have to cut yourself some slack, let your attention run wherever you want, and run away. If you realize it, then you wave to it and say come back, and then you pull your attention back. Then let it go. After a while, you don't pay much attention to this problem, and your attention will naturally recover.