For those who have been following my model, I see this as another step in the right direction. http://arxiv.org/pdf/0704.0278 q-deformed spin foam models of quantum gravity Igor Khavkine and J. Daniel Christensen 02 April 2007 Large triangulations are necessary to approximate semiclassical space-times. The possibility of obtaining numerical results from larger triangulations takes us one step closer to that goal and increases the number of facets from which the physical properties of a spin foam model may be examined. As an example, we are able to study how the spin-spin correlation varies with the distance between faces in the triangulation. Consider a triangulated 4-manifold. Let _n denote the set of n-dimensional simplices of the triangulation. The dual 2-skeleton is formed by associating a dual vertex, edge and polygonal face to each 4-simplex, tetrahedron, and triangle of the triangulation, respectively. Given the discrete structure of our spacetime model, it is conceivable that this combinatorial distance, multiplied by a fundamental unit of length, approximates some notion of distance derived from the dynamical geometry of the spin foam model. (I use a double tetra. See my visuals) jal
You might be interested in Dan Chritensen's home page, if you haven't visited. He has a big list of useful links to LQG-related information. With his specialty in computing he also has some nice computer graphics, or did the last time I went there http://jdc.math.uwo.ca/ "...I am an associate professor in the Department of Mathematics at The University of Western Ontario in London, Ontario, with a cross appointment to the Department of Applied Mathematics, and an affiliation with the Perimeter Institute for Theoretical Physics. I enjoy hiking, rock climbing, kayaking and other outdoors sports. Here are photos from some trips I have been on. Contact information is below..." Here is his Information on spin foam models of quantum gravity (earlier title was: Spin networks, spin foams and loop quantum gravity) http://jdc.math.uwo.ca/spin-foams/index.html (need to scroll down to find the URLs) Their supercomputer is a Beowolf cluster. the QG group at Western (also known as UWO) consists of 4 researchers Dan a postdoc named Josh Willis two PhD students named Igor Khavkine and Wade Cherrington. and I think they will have a fifth person soon (a PhD student of John Baez who is finishing thesis now and will move up there) Christensen has co-authored 3 papers with John Baez. Western seems like a good place for QG these days.
Well Marcus… you have made my day. I have never thought that the path that I was following was untrodded. Lo and behold up in the distance is a figure. http://jdc.math.uwo.ca/ Dan Christensen's home page http://jdc.math.uwo.ca/spin-foams/index.html Spin networks, spin foams and loop quantum gravity http://gregegan.customer.netspace.net.au/SiteMap.html#d16_4_1 http://gregegan.customer.netspace.net.au/SCHILD/Spin/SN.html Spin Networks http://gregegan.customer.netspace.net.au/SCHILD/Spin/Spin.html The applet below displays a small spin network Perhaps, he has missed observing some of the interesting points along the path, (a fundamental unit of length). I shall hurry forward and ask for an audience. Perhaps, he might be able to get “gregegan” to make a dynamic visual of my double tetra. jal