Q-deformed spin foam models of quantum gravity

  1. 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
     
  2. jcsd
  3. marcus

    marcus 23,966
    Science Advisor
    Gold Member
    2014 Award

    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.
     
    Last edited: Apr 4, 2007
  4. 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
     
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