Dear Torsten (or Thor stone),
Your essay is a very good survey of the comparative recent history of maths and physics and how one arrived at a " cultural change in our thinking" needed by our specie to adapt the environnement. You are clearly closer to Darwin than Plato and Tegmark.
Can you explain your strange conclusion that "the relation to physics is mainly caused by the simple calculable problems in physics" that seems to contradict your main thesis?
From the Clay Institute's official problem description of Yang-Mills theory by Arthur Jaffe and Edward Witten:
" [...] one does not yet have a mathematically complete example of a quantum gauge theory in four-dimensional space-time, nor even a precise definition of quantum gauge theory in four dimensions. Will this change in the 21st century? We hope so! ".
Reading your papers like
http://arxiv.org/pdf/1006.2230v6.pdf
I understand that the theory of four-manifolds including the exotic geometries has something to say. This pefectly fits our topic.
Best.
Michel