Ok, I went back and looked at what she was saying about the Coma galaxy cluster again. The dark matter was in the center, but the galaxies did not collide like I thought she was saying. They are just swirling around each other.
This isn't just a handwavy argument - when you put dark matter and baryons into detailed physical simulations
You do realize they decide what dark matter must do, then put it into the simulation that way. Of course it will act in the exact way they said it should. That is quite obvious. The question is whether there is actually matter or something else causing these observations.
It seems like you know something about the math used to find the time dilation caused by gravity. How are you calculating this? What does the Schwartzchild radius have to do with it?
The other thing I don't quite get is how they think they know the amount of matter there is in the galaxies. Plenty of scientists talk about how hard it is to find brown dwarfs. We can't even find all the earth impacting asteroids in our solar system, much less the small ones out there just floating about. How can they be so sure they have an accurate count for the amount of mass when they are just trying to count the visible stuff.
The other thing that seems like it does not make sense is the way they say the dark matter just streams right through the earth. If it has gravity, and reacts to gravity, then why does it not react to the earth's gravity or even the gravity of the sun. Shouldn't the dark matter clump up in a ball in the center of the sun making the mass of the sun greater? First they say it feel gravity, then they say it doesn't.
You also act like this is known stuff. You do realize that nobody knows what is going on and dark matter is just a place holder for the lack of knowledge about what is happening at large scales in the universe, don't you?