Ian scrawled
The implicate order, on the 2-d manifold of anyons in the de Sitter future horizon, is the result of a quantum phase transition with a topological order, post Landau symmetry breaking. Explanation of string-net condensation (by Michael A. Levin and Xiao-Gang Wen), will result in a unified origin for photons, electron and other elementary particles in our universe. This is the consistent theory of a quantum gravity, the holography computer using the fractional quantum Hall effect via a 2-D anyon substrate. All elementary particles, everything is just a holographic projection of string-net condensation pattern on our future de-Sitter event horizon.
see the following:
http://www.facebook.com/l/1737c;arxiv.org/PS_cache/hep-th/pdf/0507/0507118v2.pdf
It is not yet a consistent theory of quantum gravity. I know why, its because....
Ian scrawled
We need a rigorous derivation from loop quantum gravities spin networks to Levin and Wen's spin lattice. The project is called "quantum graphity". Thats the implicate order.
Quantum Graphity
Tomasz Konopka, Fotini Markopoulou and Lee Smolin
Perimeter Institute, Waterloo, Canada, University of Waterloo, Waterloo, Canada
We introduce a new model of background independent physics in which the degrees of freedom live on a complete graph and the physics is invariant under the permutations of all the points. We argue that the model has a low energy phase in which physics on a low dimensional lattice emerges and the permutation symmetry is broken to the translation group of that lattice. In the high temperature, or disordered, phase the permutation symmetry is respected and the average distance between degrees of freedom is small. This may serve as a tractable model for the emergence of classical geometry in background independent models of spacetime. We use this model to argue for a cosmological scenario in which the universe underwent a transition from the high to the low temperature phase, thus avoiding the horizon problem.
http://arxiv.org/abs/hep-th/0611197