Biology has followed a much better path over the past century, and biologists are rapidly building up an extremely thorough understanding of how biological systems work without relying heavily on algebraic models. Physics fails to provide explanations for even the most basic physical phenomena like motion. It's effectively just assumed to exist as a law because some authoritative physicist said so and all other models rely on it.
To put it differently, biology can't answer why paraplegics can't walk without first answering how people walk. You can't explain walking if you can't explain motion. Unless the biologists have been holding out on us, they don't have an explanation for motion that would satisfy us any more deeply than you do. Thus, if physicists can't explain something as basic as motion, then biologists can't explain something as simple as why paraplegics can't walk.
As for the supposed superiority of biology, I offer up this essay that has resonated with me (especially Fig. 3 at the end): http://protein.bio.msu.ru/biokhimiya/contents/v69/pdf/bcm_14...
Biologists might be making great strides, but they have quite a long way to go.
So tell me please: Why are people like Brian Greene able to obtain the funding to make TV series like http://www.pbs.org/wgbh/nova/physics/fabric-of-cosmos.html and get public speaking engagements like https://secure2.convio.net/ata/site/Ecommerce/3120701?VIEW_P..., when they should be getting the popular attention of a Usenet crackpot?
Don't be ridiculous.
And how many dragons and white walkers and Cylons are featured by Nova specials, the Discovery Channel, and get pop-sci articles written up in Scientific American?
As far as black holes, we have not 100% direct evidence of them, but we do have many independent and very strong lines of indirect evidence. For example, we can see stars in orbit around an incredibly massive object at the center of our galaxy (Sgr A*) that is not luminous. There are no models that make sense for anything that could be so massive and so dark. Black holes are the only theory which fits all the evidence we have, that's how science works.