 arXiv1.org Forum Index Quantum Graphity  Quantum Graphity and related works
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Quantum Graphity and related works | #1 |
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Just popping in
 
Joined: 2006/11/25
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The paper presents an original model of how phase transitions in random graph theory can describe the emergence of spacetime from a non-local pregeometry. It would be interesting to know if lattice simulations could confirm the author's conjectures.
Readers may be interested in earlier studies of similar models and especially prior research on the prinicple that permutation symmetry of spacetime points or events is a valid extension of diffeomorphism symmetry. The work of Phil Gibbs started with random graph models in 1994 [1]. In subsequent work some of the physical speculations overlap with those of Quantum Graphity [2-3]. This included one review paper that was well cited [4]. It was noted that the permutation symmetry of points could also be identified with the permutation symmetry over identical particles. The permutation event-symmetry was extended to matrix models and then to an event-symmetric version of superstring gauge symmetry [5-8]. Matrix models of string theory emerged around this time. In Matrix Models the gauge symmetry over instantons or particles includes their permutation symmetry. The observation that this can also be interpreted as an extension of space-time diffeomorphism symmetry to a larger permutation symmetry over events was made independently by Iso and Kawai in 1999 [9]. Other independent work on the same principle has been undertaken by science philosopher John Stachel [10]. Finally, no bibliography on the topic would be complete without mentioning the science fiction work "Permutation City" by Greg Egan [11], where it appeared as the Dust Theory.
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Posted on: 2006/11/25 4:33
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