This article seems like a decent introduction:
https://medium.com/starts-with-a-bang/five-reasons-we-think-...
I have yet to see the "expected" galactic rotation curves that are contradicted by observation a lead to ideas about dark MATTER. I'm mean I've seen the curves but cant find the math behind them. You often see weak references to Keplers law which doesnt even apply, so that leaves me very skeptical.
Huh?
This is directly derived from 3rd law
Then it's wrong. I will need to see the derivation to find the error. I've seen indications of a couple possible places it may be (based on simplifying assumptions people make incorrectly) but have not seen the actual derivation of the expected curve.
MOND is an attempt to make dark matter an unnecessary assumption.
No opinion on whether some MOND will turn out to work better than dark matter.
We called the dominating one for our current instance/state of the universe "matter": https://physics.stackexchange.com/questions/505662/why-is-ma...
It may be the cause, but it is not known to be the cause.
And it's not a random walk; black holes accumulate charge from pairs, making future radiation not symmetric.
My understanding is that people have probed this for some time and it's still inconclusive if it can generate the observed imbalance. Here's [1] a 1979 paper on the idea, with hundreds of citations, in case you want to poke at the literature.
If I remember, Cosmology by Weinberg has a chapter on various theories of how the imbalance may happen, none of them known to be all of or even part of the answer.
[1] https://journals.aps.org/prd/abstract/10.1103/PhysRevD.19.10...