selfAdjoint said:
Well, ordinary bits have been an epiphany to some - see "A New Kind of Science". I don't buy it, basically because I know that arithmetic is Goedel incomplete and geometry isn't. Since I think it's a requirement for a TOE to be complete in that sense, I stick with real and complex variables.
Insights are a strange thing where such tidbits spark recognition of something much more advanced ,then anything we currently understood. Do you remember the Anomalies of perception
So even given this perspective, I think you recognize, as well as others, that such a mathematical basis is at the heart of all these creations. We are looking for consistancy.
I found a interesting comment the other day about mathematicians being the architects of reality.:)
http://www2.dsu.nodak.edu/users/edkluk/public_html/crt_aphys/feynman.html
...To summarize, I would use the words of Jeans, who said that "the Great Architect seems to be a mathematician". To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature. C.P. Snow talked about two cultures. I really think that those two cultures separate people who have and people who have not had this experience of understanding mathematics well enough to appreciate nature once.
http://www2.dsu.nodak.edu/users/edkluk/public_html/crt_aphys/feynman.html
My early conversations with Doc, helped to reinforce this undertanding, about what a calm mind might percieve, had it not been so busy on so many other things. That we had not recognized the one inch equation for what it is.
The geometrical basis is also understood from this persepctive, and such consistancy has to be found, expressed, in the reality of these conversations.
Mike2 attemtps at a logical foundation, is the idea from my perspective as well, and still, we engage, the many facets of the science currently talked about in these points of view.
GR is part of the consistancy of strings yet it is a theoretical thing that is supported by the maths. We have been taken to the Graviton by Witten in this formulation. Yet the graviational wave situation has not be changed much, and look at all the fabrications we are building to test it?
Again your restrain has been the anchor for many in terms of this enduring explorations into reality, and we need to be reminded it seems.:)