It looks as if moderation, or maybe technical problems, has set in for me at Cosmic Variance. So I have to go from the last statement made there by Lee that I was allowed to contribute. To continue with the points I am making.
I was glad to see Jacques was continuing where David B seems to have decided the futility of dealing with these issues of the String theory backlash.
Lee Smolin:When there was little selection we naturally got a wide diversity of types of scientists, which was good for science. My view is that we need that diversity, we need both the hill climbers and the valley crossers, the technical masters and the seers full of questions and ideas.
Raphael Bousso and Joseph Polchinski in “The String Theory Landscape” September 2004 Scientific issue speak exactly to what Lee is saying and descriptively allow us to see the pattern underlying Lee’s comment. Maybe George Musser will release it for the group to inspect here
Take full note of the diagrams.
See OFF THE HOOK. Line-by-line crocheting instructions that tell where to increase or decrease numbers of stitches create the global shape of the Lorenz manifold.Univ. of Bristol
Clifford:Hooking Up Manifolds
The artlcle goes a great deal into the story of how mathematician Hinke Osinga and her partner mathematician Bernd Krauskopf got into this, and why they find it useful. You’ll also hear from mathematicians Carolyn Yackel, Daina Taimina, and Sarah-Marie Belcastro. This has been going on for a while, and there are even published scientific papers with crocheting instructions for various manifolds! How did I miss out on this?! This is great!
If you did not continue with understanding the “topography of the energy involved” in terms of what the string theory landscape was doing, then you would have never understood the “hills and valleys” in the context of string theory landscape being described?
HYPERBOLIC FABRIC. Many of the lines that could be inscribed on this crocheted hyperbolic plane curve away from each other, defying Euclid’s parallel postulate.
IN retrospect decisions we make will always resound with what we should have done, but that misses the boat when coming to the “creative abilities?” What we see may “institute a productive research group?” You exchange one for another?
Lee Smolin:Is string theory in fact perturbatively finite? Many experts think so. I worry that if there were a clear way to a proof it would have been found and published, so I find it difficult to have a strong expectation, either way, on this issue.
The fact that a way had been describe in terms of developing the “Triple Torus” speaks to the continued development of the string theory landscape? How could you conclusively finish off this statement and then from it describe the state of the union, when this had already been explained technically?
We say that E8 has rank 8 (the maximum number of mutually commutative degrees of freedom), and dimension 248 (as a manifold). This means that a maximal torus of the compact Lie group E8 has dimension 8. The vectors of the root system are in eight dimensions, and are specified later in this article. The Weyl group of E8, which acts as a symmetry group of the maximal torus by means of the conjugation operation from the whole group, is of order 696729600.
You had to see the context of the triple torus in relation too where the string landscape places were placing these modular forms. If I had said E8 and the continued development of modular form, what would this represent?
The complexity of the forms themself are limited and finite so how could one claim that such work on the landscape is futile in regards to infinities?