We have a closed circle of consistency here: the laws of physics produce complex systems, and these complex systems lead to consciousness, which then produces mathematics, which can then encode in a succinct and inspiring way the very underlying laws of physics that gave rise to it.

Well, I don’t know if I can comment on Kant or Hegel because I’m no real philosopher in the sense of knowing what these people have said in any detail so let me not comment on that too much.

If you didn’t have any conscious beings in the world, there really wouldn’t be morality but with consciousness that you have it.

It may well be there is something else going on in the brain that we don't have an inkling of at the moment.

Ambition, idly vain; revenge and malice swell her train.

But I think it is a serious issue to wonder about the other platonic absolutes of say beauty and morality.

Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has.